Andreas Kyprianou

Professor of Probability Theory

Co-director of the EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa) Director of the Institute of Mathematical Innovation

Founding member and former Director (2007-2019) of the Probability Laboratory at Bath (Prob-L@B)

Founding member the Bath-UNAM-CIMAT (BUC) Research Platform

Co-creator of the the Bath-One World Probability Seminar which stimulated the One World movement

Professor of Probability Theory

Co-director of the EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa) Director of the Institute of Mathematical Innovation

Founding member and former Director (2007-2019) of the Probability Laboratory at Bath (Prob-L@B)

Founding member the Bath-UNAM-CIMAT (BUC) Research Platform

Co-creator of the the Bath-One World Probability Seminar which stimulated the One World movement

I am a mathematician working at the Department of Mathematical Sciences, University of Bath with specialism in pure and applied probability. My research interests predominantly span the following topics:

Anything which can be proved in a beautiful way using a martingale

Branching Processes, Branching Diffusions and Superprocesses.

Fragmentation and Coalescence

Fixed point equations (smoothing transforms) and travelling waves

Random Walks, Brownian motion, Lévy processes and Self-similar Markov processes

Optimal stopping problems, stochastic games and stochastic control problems

Monte-Carlo simulation of stochastic processes

By clicking on the tabs on the top banner you can find out more about my work.

50 new Ph.D. studentships for UK/EU students with entry 2014, 2015, 2016, 2017, 2018 at our newly EPSRC funded Centre for Doctoral Training in Statistical Applied Mathematics.

50 more Ph.D. studentships for UK/EU students with entry 2019, 2020, 2021, 2022, 2023 have been additionally awarded, thus extending the life of the SAMBa doctoral training centre for five more years.

Please make sure you read the information on the SAMBa webpages before applying to understand the nature of the programme as well as to consider your eligibility for funding: see here.
Please **do not** write to me directly, but send your expression of interest to samba@bath.ac.uk

Which do you prefer?

Stochastic Analysis and Applications Mongolia Project 2015

Please click here for material from the lectures and talks.
Please click here for Uugnaa's short article on the history of Mongolian mathematics and here as it appeared in Bernoulli news with commentary.
Please click here for the final report on the meeting.

Data Science workshop with focus on air pollution.

See the article here to find out more about what happened. See also the blog of Robbie Peck.

Read our summary report of the policy and scientific view of the extreme air pollution problems in Ulaanbaatar and a proposed way forward.

A course given on basic statistics to students of NUM and professional data analysts: Lectures, Lab sheets, Lab solutions,

Research England GCRF 50K grant awarded which included "Using data to inform air pollution policy in Ulaanbaatar" a workshop for government officials and working scientists to explore how the issues of economic development, migration, and expansion of infrastructure in Mongolia relate to the ongoing challenges of air pollution. See here for the end of grant report.

Additional funding secured for 2019-2021: EPSRC GCRF 150K Data-Science capacity building grant and Research England GCRF 50K funding to further research agenda from 2019.

Exotic option pricing and advanced Lévy models. (Eds. A. Kyprianou, W. Schoutens and P. Wilmott.)
*Wiley, 2005. *

Introductory Lectures on fluctuations of Lévy process with applications. *Universitext, Springer, 2006.*

The theory of scale functions for spectrally negative Lévy processes. (with Alexey Kuznetsov and Victor Rivero).
*Lévy Matters II, Springer Lecture Notes in Mathematics, 2013.*

Fluctuations of Lévy process with applications (Second edition).
*Universitext, Springer, 2014.*

Gerber-Shiu Risk Theory. *EAA Series, Springer, 2013.*

Branching Random Walk: Seneta-Heyde norming. (with
J.D. Biggins)

In
*Trees
(B.Chauvin, S. Cohen, and A. Rouault, eds) Birkhaser, Basel, 1995.*

Seneta-Heyde norming in the branching random walk.
(with J.D. Biggins).

*Annals of Probabability (1997), 25, 337-360. *

Slow variation and uniqueness of solutions to the functional equation
in the branching random walk.

*Journal of Applied Probability (1998), 35, 795-802. *

A note on branching Lévy processes.

*Stochastic Processes and their Applications (1999), 82, 1-14.*

Martingale Convergence and the Stopped Branching Random Walk.

*Probability Theory and Related Fields (2000), 116, 405--419.*

Martingale convergence and the functional equation in the multi-type branching random walk.
(with
A. Rahimzadeh Sani).

*Bernoulli. (2001), 7(4), 593--604.*

A note on the alpha-quantile option.
(with
Laura Ballotta).

*Applied Mathematical Finance (2001), 8, 137--144.*

Perpetual options and Canadization through fluctuation theory. (with Martijn Pistorius).

* Annals of Applied Probability (2003), 13(3), 1077-1098.*

Law of the iterated logarithm for oscillating random walks conditioned to stay
non-negative. (with B. Hambly and G.Kersting)

* Stochastic Processes and their Applications (2003), Vol 108/2 pp 327-343.*

Some calculations for Israeli options.

*
Finance and Stochastics. (2004), 8, 73 - 86. *

Local extinction versus local exponential growth for
spatial branching processes. (with Janos Englander)

* Annals of Probability (2004), 32, 78-99.*

Exit problems for spectrally negative Lévy processes adn applications to (Canadized) Russian options. (with F.Avram and Martijn Pistorius).

*Annals of Applied Probability (2004), 14(1), 215-238.*

Travelling wave solutions to the K-P-P equation: alternitives
to Simon Harris' probabilistic analysis.
*Annales de l'Instut Henri Poincaré. (2004), 40(1), 53-72.*

Ruin probabilties and overshoots for general Lévy insurance risk process.
(with C. Kluppelberg
and Ross Maller).
*Annals of Applied Probability. (2004), 14(4),
1766-1801. *

Measure change in multitype branching.
(with J.D. Biggins).
*Advances in Applied Probability (2004), 36(2) 544-581.*

A martingale review of some fluctuation theory for spectrally negative Lévy processes. (with
Z. Palmowski).
*Séminaire de Probabilité XXXVIII, 16-29.*

Further calculations for Israeli options. (with Erik Baurdoux).
*Stochastics. (2004), 76, 549-569.*

Asymptotic radial speed of the support of supercritical
branching Brownian motion and super-Brownian motion in R^d.
*Markov Processes and Related Fields. (2005), 11, 145-156.*

Finite expiry Russian options.
(with Kees van Schaik and
Hans Duistermaat).
*Stochastic Processes and their Applications. (2005), Vol 115/4, 609-638.*.

Lévy processes in finance distinguished by their coarse and fine path properties. (with Ronnie Loeffen).

In *Exotic option pricing and advanced Lévy models. Eds. A. Kyprianou, W. Schoutens and P. Wilmott. Wiley, 2005.*

The smoothing transform:
the boundary case. (with J.D. Biggins). *Electronic Journal of Probability (2005), 10,
609-631.*

Some remarks on first passage of Lévy process, the American put and pasting principles.
(with Larbi Alili).*Annals of Applied Probability (2005), 15, 2062--2080. *

On the Novikov-Shiryaev optimal stopping problem in continuous time. (with B. Surya).

*Electronic Communications in Probability (2005), 10,
146-154. *

Further probabilistic analysis of the Fisher-Kolmogorov-Petrovskii-Piscounov equation: one sided travelling waves.
(with John Harris and S. C. Harris). *Annales de l'Instut Henri Poincaré (2006), 42, 125-145.*

Overshoots and Undershoots of Lévy process
(with Ron Doney). *Annals of Applied Probability (2006), 16, 91-106.*

First passage of reflected strictly stable processes. *ALEA (2006), 2, 119-123.*

On extreme ruinous behaviour of Lévy insurance risk processes. (with C. Kluppelberg). *Journal of Applied Probability (2006), 43, 594-598.*

Quasi-stationary distributions for Lévy process. (with Z. Palmowski). *Bernoulli (2006), 12, 571-581.*

Principles of smooth and continuous fit in the determination of endogenous bankruptcy levels. (with B. Surya). *Finance and Stochastics (2007), 11, 131-152.*

Pricing Isreali options: a pathwise approach.
(with C. Kuhn and K. van Schaik).

*Stochastics (2007), 79, 117-137.*

Distributional study of De Finetti's
dividend problem for a general
Lévy insurance risk process. (with Z. Palmowski)

*Journal of Applied Probability. (2007), 44, 428-443.*

A note on the change of variable formula with local time-space for bounded variation Lévy processes. (With B. Surya). *Séminaire de Probabilité
XL. 97-105.*

Callable puts as composite exotic options.
(with C. Kuhn). *Mathematical Finance (2007), 17, 487-502.*

The McKean stochastic game driven by a spectrally
negative Lévy process. (with Erik Baurdoux).
*Electronic Journal of Probability. (2008), Paper no. 8, 173-197.*

Fluctuations of spectrally negative Markov Additive Processes.
(with Z. Palmowski). *Séminaire de Probabilité XLI. 121-135.*

On the parabolic generator of a general one-dimensional Lévy process. (with Nathalie Eisenbaum).
*Electronic Communications in Probability (2008), Paper no. 20, 198-209.*

Special, conjugate and complete scale
functions for spectrally negative Lévy processes. (with V. Rivero). *Electronic Journal of Probability (2008), Paper no 57, 1672-1701.*

Continuous state branching processes and self-similarity. (with Juan Carlos Pardo). *Journal of Applied Probability (2008), 45 (4), 1140-1160.*

Analysis of stochastic
fluid queues driven by local
time processes. (with Takis Konstantopoulos, Paavo Salminen and Marina Sirvio (née Kozlova)).

*Advances of Applied Probability (2008), vol. 40 (4), 1072-1103.*

Branching processes in random environment die slowly. (with V.Vatutin). *Discrete Mathematics & Theoretical Computer Science Proceedings Fifth Colloquium on Mathematics and Computer Science (2008), 375-396.*

Some explicit identities associated with positive
self-similar Markov processes. (with Loic Chaumont and Juan Carlos Pardo). *Stochastic Processes and Their Applications (2009), 119/3, 980-1000.*

The Shepp-Shiryaev stochastic game driven by a spectrally negative Lévy process. (with Erik Baurdoux).

* Theory of Probability and Its Applications (Teoriya Veroyatnostei i ee Primeneniya) (2009), 53, 481-499.*.

General tax structures and the Lévy insurance risk model. (with Xiaowen Zhou). *Journal of Applied Probability (2009), 46, 1146-1156.*

A note on scale functions and the time value of ruin for Lévy insurance risk processes. (with Enrico Biffis).

*Insurance Mathematics and Economics (2010), 46, 85-91.*

Refracted Lévy processes. (with R. Loeffen). *Annales de l'Instut Henri Poincaré (2010), 46, 24-44.*

Strong law of large numbers for fragmentation processes.
(with S.C. Harris and R.Knobloch).

*Annales de l'Instut Henri Poincaré (2010), 46, 119-134.*.

Strong law of large numbers for branching diffusions. (with Janos Englander and Simon Harris). *Annales de l'Instut Henri Poincaré (2010), 46, 279-298.*

The Wiener-Hopf decomposition. *Encyclopedia of Quantitative Finance*, published by Wiley.

Lévy processes. *Encyclopedia of Quantitative Finance*, published by Wiley.

Exact and asymptotic n-tuple laws at first and last passage. (with V. Rivero and Juan Carlos Pardo). *Annals of Applied Probability (2010), Vol. 20, No. 2, 522-564.*

Convexity and smoothness of scale functions
and de Finetti's control problem. (with V. Rivero and Renming Song).

*Journal of Theoretical Probability (2010), 23, 547-564.*

Old and new examples of scale functions for spectrally negative Lévy processes. (with F. Hubalek). *Sixth Seminar on Stochastic Analysis, Random Fields and Applications, eds R. Dalang, M. Dozzi, F. Russo. Progress in Probability, Birkhäuser (2010), 119-146.*

The Gapeev--Kühn stochastic game driven by a spectrally positive
Lévy process. (with Erik Baurdoux and Juan Carlos Pardo). * Stochastic Processes and their Applications (2011), 121/6, 1266-1289.*

The prolific backbone for supercritical superdiffusions. (with Julien Berestycki and Antonio Murillo). *Stochastic Processes and their Applications (2011), 121/6, 1315-1331.*

A Ciesielski-Taylor type identity for positive self-similar Markov processes (with Pierre Patie). *Annales de l'Instut Henri Poincaré (2011), 47/3, 917-928.*

Smoothness of scale functions for spectrally negative Lévy processes (with Terence Chan and Mladen Savov). *Probability Theory and Related Fields (2011), 150, 691-708.*

On the excursions of reflected local time processes and stochastic fluid queues. (with Takis Konstantopoulos and Paavo Salminen). * Journal of Applied Probability (2011), 48A, 79-98.*

Travelling waves and homogeneous fragmentation (with Julien Berestycki and Simon Harris).

*Annals of Applied Probability. (2011), 21, 1749-1794.*

A Wiener-Hopf Monte Carlo simulation technique for Lévy process (with Alexey Kuznetsov, Juan Carlos Pardo and Kees van Schaik).

*Annals of Applied Probability. (2011), 21, 2171-2190.*

Backbone decomposition for continuous-state branching processes with immigration. (with Yanxia Ren).

*Statistics and Probability Letters. (2012), 82, 139-144.*

Fluctuation theory and exit systems for positive self-similar Markov processes (with Loic Chaumont, V. Rivero and Juan Carlos Pardo).

*Annals of Probability (2012), 40, 245-279.*

Optimal control with absolutely continuous strategies
for spectrally negative Lévy processes. (with Ronnie Loeffen and Jose-Luis Pérez). *Journal of Applied Probability (2012), 49, 150-166.*

An optimal stopping problem for fragmentation processes. (with Juan Carlos Pardo). *Stochastic Processes and their Applications. (2012), 122, 1210-1225.*

Meromorphic Lévy processes and their fluctuation identities (with Alexey Kuznetsov, Juan Carlos Pardo). * Annals of Applied Probability. (2012), 22, 1101-1135.*

Supercritical super-Brownian
motion with a general branching mechanism and travelling waves (with Antonio Murillo-Salas, Rongli Liu and Yanxia Ren).

*Annales de l'Instut Henri Poincaré. (2012), 48, 661-687.*

Super-Brownian motion: Lp-convergence of martingales
through the pathwise spine decomposition. (with Antonio Murillo-Salas).
*In Advances in Superprocesses and Nonlinear PDEs
Series: Springer Proceedings in Mathematics & Statistics, Vol. 38
Englander, Janos; Rider, Brian C. (Eds.), 2013.
*

An application of the backbone decomposition to supercritical super-Brownian motion with a barrier. (with Antonio Murillo-Salas and Jose-Luis Pérez). *Journal of Applied Probability. (2012), 49, 671-684. *

Spectrally negative Lévy processes perturbed
by functionals of their running supremum (with Curdin Ott). *Journal of Applied Probability (2012), 49, 1005-1014.*

On optimal dividends in the dual model
(with Erhan Bayraktar and Kazutoshi Yamazaki). *ASTIN Bulletin (2013), 43, 359-372.*

Pricing of Contingent
Convertibles under Smile Conform
Models. (with José Manuel Corcuera, Jan de Spiegeleer, Albert Ferreiro-Castilla, Dillip Madan and Wim Schoutens). *Journal of Credit Risk (2013), 9(3), 121-140.*

Multilevel Monte Carlo simulation for Lévy processes based on the Wiener-Hopf factorisation (with Albert Ferreiro-Castilla, Rob Scheichl and Gowri Suryanarayana). *Stochastic Processes and its Applications (2014), 124, 985-1010.*

Optimal dividends in the dual model under transaction costs (with Erhan Bayraktar and Kazutoshi Yamazaki). *Insurance: Mathematics and Economics (2014), 54, 133-143.*

Hitting distributions of alpha-stable processes via path censoring and self-similarity (with Juan Carlos Pardo and Alex Watson). *Annals of Probability. (2014), 42, 398-430.*

A capped optimal stopping problem for the maximum process (with Curdin Ott).*Acta Applicandae Mathematicae. (2014), 129, 147-174.*

The total mass of super-Brownian motion upon exiting balls and Sheu's compact support condition.
(with Marion Hesse). *Stochastic Processes and its Applications (2014), 124, 2003-2022.*

The hitting time of zero for a stable process (with Alexey Kuznetsov, Juan Carlos Pardo and Alex Watson). *Electronic Journal of Probability (2014), 19, 1-26.*

Survival of homogenous fragmentation processes with killing. (with Robert Knobloch).
*Annales de l'Instut Henri Poincaré(2014), 50, 476-491.*

New families of subordinators with explicit transition probability semigroup. (with James Burridge, Mateusz Kwasnicki, Alexey Kuznetsov.). *Stochastic Processes and their Applications (2014), 124, 3480-3495.*

Occupation times of refracted Lévy processes (with Juan Carlos Pardo and Jose-Luis Pérez).*Journal of Theoretical Probability. (2014), 27, 1292-1315.*

The extended hypergeometric class of Lévy processes (with Juan Carlos Pardo and Alex Watson).

*Journal of Applied Probability. (2014), 51A, 391-408.*

The backbone decomposition for spatially dependent supercritical superprocesses (with Jose-Luis Pérez and Yanxia Ren). *Séminaire de Probabilité XLVI. (2015), 33-60.*

Potentials of stable processes (with Alex Watson). *Séminaire de Probabilité XLVI. (2015), 333-344.*

Spines, skeletons and the Strong Law of Large Numbers for superdiffusions (with Maren Eckhoff and Matthias Winkel). *Annals of Probability.
(2015), Vol. 43, No. 5, 2594-2659.*

Branching Brownian motion in a strip: survival near criticality.
(with Simon Harris and Marion Hesse).
*Annals of Probability. (2016), Vol. 44, No. 1, 235-275.
*

* An Euler-Poisson Scheme for Lévy driven SDEs (with Albert Ferreiro-Castilla and Rob Scheichl).
Journal of Applied Probability. (2016), 53, 262-278.
*

* UK universities find a cash cow in the financial fall-out
The Conversation. (See also the longer version: The UK financial mathematics M.Sc.)
*

* Deep factorisation of the stable process. Electronic Journal of Probability. (2016), Volume 21 paper no. 23, 1-28..
*

* More on hypergeometric Lévy processes
(with Emma Horton).
Advances in Applied Probability (2016), 48A, 153 - 158.
*

* Optimal prediction for positive self-similar Markov processes (With Erik Baurdoux and Curdin Ott). Electronic Journal of Probability. (2016), Volume 21 paper no. 48, 1-24.
*

* Perpetual integrals for Lévy processes (with Leif Döring).
Journal of Theoretical Probability
(2016), Volume 29, Issue 3, pp 1192-1198.
*

* The largest fragment of a homogeneous fragmentation process
(With Peter Mörters and Francis Lane).
Journal of Statistical Physics. (2017), 166, 1226-1246.
*

* Real self-similar processes started from the origin (with Steffen Deriech and Leif Döring). Annals of Probability. (2017), Volume 45, No. 3, 1952-2003.
*

* Conditioning subordinators embedded in
Markov processes. (with Victor Rivero,
and Bati Sengul
). Stochastic Processes and their Applications. (2017), 127, 1234-1254.
*

* A phase transition in excursions from infinity of the "fast" fragmentation-coalescence process.
(with Steven Pagett, Tim Rogers and Jason Schweinsberg).
Annals of Probability. (2017),
Volume 45, No. 6A, 3829-3849.
*

* Deep factorisation of the stable process II: potentials and applications. (with Victor M. Rivero and Bati Sengul).
Annales de l'Instut Henri Poincaré. (2018), Vol. 54, No. 1, 343-362.
*

* Universality in a class of fragmentation-coalescence processes. (with Steven Pagett and Tim Rogers).
Annales de l'Instut Henri Poincaré. (2018), Vol. 54, No. 2, 1134-1151.
*

* Almost sure growth of supercritical multi-type continuous state branching process (With Sandra Palau and Yanxia Ren).
ALEA, Lat. Am. J. Probab. Math. Stat. (2018),
15, 409-428
*

* Stable processes, self-similarity and the unit ball
ALEA, Lat. Am. J. Probab. Math. Stat. (2018),
15, 617-690.
*

* Unbiased "walk-on-spheres" Monte Carlo methods for the fractional Laplacian
(With Ana Osojnik and Tony Shardlow).
IMA J. Numer. Anal. (2018), 38 no. 3, 1550-1578.
*

* Stable windings at the origin.
(With Stavros Vakeroudis).
Stochastic Processes and their Applications (2018), 128, 4309-4325.
*

* Extinction properties of multi-type continuous-state branching processes
(With Sandra Palau).
Stochastic Processes and their Applications (2018), 128 3466–3489.
*

* Conditioned real self-similar Markov processes. (with Victor M. Rivero and Weerapat Satitkanitkul). Stochastic Processes and their Applications (2019), 129, 954-977.
*

* Multi-species neutron transport equation.
(with Alex M.G. Cox, Simon C. Harris and Emma Horton). Journal of Statistical Physics (2019), 176(2), 425-455.
*

* Skeletal stochastic differential equations for continuous-state branching process
(With Dorottya Fekete and Joaquin Fontbona).
Journal of Applied Probability (2019), 56, 1122-1150.
*

* Entrance and exit at infinity for stable jump diffusions (with Leif Döring).
Annals of Probability
(2020), Vol. 48, No. 3, 1220-1265
*

* Entrance laws at the origin of self-similar Markov processes in high dimensions. (with Victor M. Rivero, Bati Sengul and Ting Yang ) . Transactions of the American Mathematical Society (2020) Vol. 373 (9), 6227-6299
*

* Stable processes conditioned to avoid an interval (with Leif Döring and Philip Weissmann).
Stochastic Processes and their Applications (2020), Vol 130 no. 2, 471-487.
*

* Skeletal stochastic differential equations for superprocesses
(With Dorottya Fekete and Joaquin Fontbona).
Journal of Applied Probability. (2020) 57, 1111-1134.
*

* Deep factorisation of the stable process III: radial excursion theory and the point of closest reach.
(with Victor M. Rivero and Weerapat Satitkanitkul). Potential Analysis (2020), 53, 1347–1375.
*

* Stochastic Methods for the Neutron Transport Equation I: Linear Semigroup asymptotics. (with Emma Horton and Denis Villemonais) . Annals of Applied Probability (2020)
Vol. 30, No. 6, 2815–2845.
*

* Stochastic Methods for the Neutron Transport Equation II: Almost sure growth. (with Emma Horton and Simon Harris) . Annals of Applied Probability (2020), Vol. 30, No. 6, 2573–2612.
*

* Double hypergeometric Lévy processes and self-similarity
(With Juan Carlos Pardo and Matija Vidmar).
To appear in Journal of Applied Probability.
*

* Stable Lévy processes in a cone.
(with Victor M. Rivero and Weerapat Satitkanitkul). To appear in Annales de l'Instut Henri Poincaré
*

* Stochastic Methods for the Neutron Transport Equation III: Generational many-to-one and k_eff. (with Alex M.G. Cox, Emma Horton and Denis Villemonais) . To appear in SIAM Journal of Applied Mathematics.
*

The Seneta-Heyde scaling for homogeneous fragmentations. (with Thomas Madaule). *This version 06.07.2015.*

Attraction to and repulsion from a subset of the unit sphere for isotropic stable Lévy processes
(With Sandra Palau,
and Tsogzolmaa Saizmaa).
*This version 15.11.2019.*

An optimal stopping problem for spectrally negative Markov additive processes (With Mine Çağlar,
and Ceren Vardar-Acar).
*This version 19.12.2019.*

Monte-Carlo Methods for the Neutron Transport Equation (with
Alex M.G. Cox, Simon Harris and Minmin Wang) . *This version 04.12.2020.*

General path integrals and stable SDEs (with Sam Baguley and Leif Döring).
*This version 15.12.2020*

Oscillatory attraction and repulsion from a subset of the unit sphere or hyperplane for isotropic stable Lévy processes
(With Mateusz Kwaśniki, Sandra Palau,
and Tsogzolmaa Saizmaa).
*This version 14.11.2020.*

The Doob–McKean identity for stable Lévy processes
(With Neil O'Connell).
*This version 23.11.2020.*

Old and new examples of scale functions for spectrally negative Lévy processes

De Finetti's Control Problem and Spectrally Negative Lévy Processes.

Smoothness properties of scale functions for spectrally negative Lévy processes.

Travelling waves and homogeneous fragmentation.

Backbone decomposition for superprocesses and applications.

Meromorphic Lévy processes (and a new Wiener-Hopf simulation method).

A Ciesielski-Taylor type identity for positive self-similar Markov processes.

Spines, backbones and orthopedic surgery.

Multil-level Weiner-Hopf Monte-Carlo simulation for Levy processes. (Shorter version)

Law of the time to absorption at zero of a (not-necessarily) symmetric stable Lévy process.

Strong law of large numbers for supercritical super-diffusions.

New families of subordinators with explicit transition probability semigroup.

The mass of super-Brownian motion upon exiting balls and Sheu's compact support condition.

The UK financial mathematics MSc

Deep factorisation of the stable process. (See also Torino 1 and Torino 2.; see also Isaac Newton Institute presentation.)

Terrorists never congregate in even numbers

Deep factorisation of the stable process and amplitudal reflection of the stable process.

Sphere stepping algorithms for Dirichlet-type problems with the fractional Laplacian.

Stable processes through the theory of self-similar Markov processes.

Exploration of by the isotropic -stable process. (Mini-course)

Skeletal stochastic differential equations for continuous-state branching process. (Dorka's slides)

Stochastic analysis of the neutron transport equation.

Entrance and exit at infinity for stable jump diffusions. (Shorter version)

Jyväskylä lecture notes on stable processes (20 x 45 mins) with Additional task for students

Stable process in a cone. (Shorter version)

Skeletal stochastic differential equations for superprocess.

Lévy summer school Athens: Part I and Part II with Exercises and Exercise solutions

Lunteren 2019, Dutch Stochastics: Alpha-stable (Lévy) processes through the Lamperti-Kiu transform

Cambridge Nuclear: Stochastic Analysis of the Neutron Transport Equation.

Prof. Vladimir Vatutin (Steklov Institute, Russia) [May-June 2006] Click
here for his lectures.

Funded by EPSRC: EP/D064988/1

Prof. Janos Englander (Santa Barbara, USA) [July-August 2007: EPSRC] Click
here for more on his lectures and activities around his visit.

Funded by EPSRC: EP/E05448X/1

Prof. Goetz Kersting (Frankfurt, Germany) [July 2007] Click
here for more on his lecture and activities around his visit.

Funded by EPSRC: EP/E05448X/1

Prof. Renming Song (Illinois, USA) [December 2007]

Funded by EPSRC: EP/E047025/1

Prof. Victor Rivero (CIMAT, Mexico) [April - June 2008]

Funded by The Royal Society

Prof. Julien Berestycki (Paris VI) [March - September 2009]

Funded by Royal Society and BICS

Prof. Victor Rivero (CIMAT, Mexico) [Oct 2014 - Sept 2015]

Funded by EPSRC: EP/M001784/1

Prof. Juan Carlos Pardo (CIMAT, Mexico) [Sept 2015 - Sept 2018]

Funded by Newton International Fellowship

Tsogzolmaa Saizmaa (2017-2020)

Isaac Gonzalez Garcia (2017-2020)

Tom Davies (2019-2022)

Lizabeth Penaloza Velasco (UNAM, Mexico) (2018-2021)

Martijn Pistorius (1999-2003, Utrecht)

*Exit problems of Lévy processes
with applications in finance*

Budhi Arta Surya (2003-2007, Utrecht)

*Optimal stopping problems driven by Lévy processes and pasting principles*

Erik Baurdoux (2003-2007, Utrecht)

*Fluctuation Theory and Stochastic Games
for Spectrally Negative Lévy Processes*

Ronnie Loeffen (2005-2008, Bath)

*Stochastic control for spectrally
negative Lévy processes*

Robert Knobloch (2007-2010, Bath)

*Asymptotic properties of fragmentation processes*

Curdin Ott (2010-2013, Bath)

*Optimal Stopping Problems for the Maximum Process*

Alex Watson (2010-2013 Bath)

Marion Hesse (2010-2013, Bath)

*Branching diffusions on the
boundary and the interior of balls*

Maren Eckhoff (2011-2014, Bath)

*Superprocesses and Large-Scale Networks*

Sandra Palau (2012-2016 CIMAT)

*Generalisations of Continuous State Branching Processes*

Steven Pagett (2013-2016, Bath)

*Fragmentation-Coalescence
Processes: Theory and Applications*

Francis Lane (2014-2018, Bath)

*The asymptotic properties of homogeneous fragmentation processes*

Weerapat Satitkanitkul (2015-2018, Bath)

*Self-similar Markov Processes
and Stable Processes*

Dorottya Fekete (2015-2019, Bath)

*SDEs for embedded successful genealogies*

Emma Horton (2016-2020, Bath)

Z. Palmowski (2004-2005, Utrecht) and (2006-2007, Bath)

*Funded by NWO, Netherlands *

Peter Andrew (2004-2005, Utrecht) and (2005-2006, Heriot Watt)

*Funded by NWO, Netherlands *

Juan Carlos Pardo (2007-2010, Bath)

*Funded by EPSRC, UK *

Kees van Schaik (2009-2010, Bath)

*Funded by AXA Research Fund, UK *

Antonio Murillo-Salas (2009-2011, Bath)

*Funded by CONACyT, Mexico*

Élie Aidekon (2009, Bath)

* Visiting from École Normale Supérieure, France*

Jose Luis Garmendia Pérez (2010-2012, Bath)

*Funded by CONACyT, Mexico*

Albert Ferreiro-Castilla (2012-2014, Bath)

*Funded by Royal Society Newton International Fellowship, UK*

Bati Sengul (2014-2016, Bath)

*Funded by EPSRC, UK*

Ting Yang (2017, Bath)

*Funded by EPSRC, UK*

Sandra Palau (2017-2019)

*Funded by Newton International Fellowship*

Minmin Wang (2018-2019)

*Funded by EPSRC, UK*

Benjamin Dadoun (2019-2020)

*Funded by EPSRC, UK*

Larbi Alili, Florin Avram, Laura Ballotta, Erhan Bayraktar, Enrico Biffis, John Biggins, Erik Baurdoux, Julien Berestycki, James Burridge, Terence Chan, Loic Chaumont, José Manuel Corcuera, Steffen Deriech, Ron Doney, Leif Döring, Hans Duistermaat, Maren Eckhoff, Nathalie Eisenbaum, Janos Englander, Dorottya Fekete, Albert Ferreiro-Castilla, Joaquin Fontbona, Ben Hambly, John Harris, Simon Harris, Marion Hesse, Friedrich Hubalek, Goetz Kersting, Takis Konstantopoulos, Claudia Kluppelberg, Robert Knobloch, Christoph Kuhn, Alexey Kuznetsov, Mateusz Kwasnicki, Francis Lane, Ronnie Loeffen, Rongli Liu, Dillip Madan, Thomas Madaule, Ross Maller, Peter Mörters, Antonio Murillo, Curdin Ott, Ana Osojnik Steven Pagett, Sandra Palau, Zbigniew Palmowski, Pierre Patie, Martijn Pistorius, Juan Carlos Pardo, Yanxia Ren, Victor Rivero, Paavo Salminen, Mladen Savov, Ali Akbar Rahimzadeh Sani, Tim Rogers, Weerapat Satitkanitkul, Kees van Schaik, Rob Scheichl, Wim Schoutens, Jason Schweinsberg, Bati Sengul, Tony Shardlow Marina Sirvio (née Kozlova), Jan de Spiegeleer, Renming Song, Budhi Arta Surya, Gowri Suryanarayana, Alex Watson, Matthias Winkel, Stavros Vakeroudis, Vladimir Vatutin, Kazutoshi Yamazaki, Xiaowen Zhou.

Bath-Paris IV, AIHP, 27th-29th June 2016.

Bernoulli World Congress and pre-meeting, Toronto, 7th-17th July 2016

Levy 8, Angers, 25th-29th July 2016.

Stable Processes, CMO Oaxaca, 6th-11th November 2016.

Peking University 15-17th November 2016.

National University of Mongolia, 21st - 25th November 2016.

CLAPEM, Costa-Rica, 5-9th December 2016.

CIMAT and UNAM, Mexico, 15th April - 26th April 2017

Beijing Normal University, China, 7th-14th May 2017

CIMAT, Mexico, 5th July - 5th August 2017

WIAS, Berlin, 21st Aug - 27th August 2017

Münster, Germany, Modern perspectives of branching in probability, 26th - 29th Sept, 2017

Peking University/Chinese Academy of Sciences, 12th-21st October 2016

NYU Shanghai 22nd-28th October 2017.

CIMAT, Mexico, 9th Dec - 18th Dec 2017

CMM, Universidad de Chile, 9th Jan - 19th Jan 2018

Branching structures, Bath-Beijing-Paris V, Peking U, 14th Dec - 18th May 2018

Optimal Stopping, Houston 15th June - 29th June 2018

Jyväskylä Summer School Finland, 6th Aug - 13th Aug 2018

CIMAT, Mexico, 14th Aug - 29th Aug 2018

University of Zurich, Workshop on Branching-Type Structures, September 3 - 5, 2018

National University of Mongolia, September 10 - 21, 2018

Mannheim, December 17th - 18th, 2018

Wroclaw, December 20th - 21st, 2018

CIMAT, Mexico, January 14th - 21st, 2019

National University of Mongolia, February 25 - March 3rd, 2019

Beijing Normal Univeristy, June 17th - 28th, 2019

UNICEF Mongolia, October 27th - 1st November, 2019

Lunteren, Dutch Stochastics, November 11th - 13th, 2019

BUC17 Playa del Carmen + CLAPEM Merida, Mexico November 26th - December 10th, 2019

I am pleased to serve the community through editorial work.

Editor-in-Chief: Electronic Journal of Probability [2018-2020]

Associate Editor: Royal Society Open Science [2017-present]

Associate Editor: Advances in Applied Probability [2006-present]

Associate Editor: Journal of Applied Probability [2006-present]

Associate Editor: Stochastics: An International Journal of Probability and Stochastic Processes. [2006-2017]

Associate Editor: ALEA: Latin American Journal of Probability and Mathematical Statistics. [2012-2014]

Associate Editor: Mongolian Mathematical Journal. [2017-present] (If you are interested to make a serious submission to this journal in the interests of providing greater accessibility to mathematical knowledge for the community of Mongolian Mathematicians, please get in touch with me first.)

Corresponding Editor (and for a while, Editor-in-Chief): Acta Applicandae Mathematicae. [2011-present]

Please see my invitation here to you to submit you work to Acta AM.

I also serve as series editor for three book series. I will be more than happy to hear from you if you have a suggestion for a book project.

Springer: Stochastic Modelling and Applied Probability.

Dear Colleagues, I am writing to encourage you to consider the following venue when submitting your forthcoming articles for peer reviewed publication:

Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.

Responding to the ever more elaborate and deep rooted connections between probability theory and other fields of mathematics as well as the important role that probability plays in stochastic modelling across, for example, the physical, biological, engineering and economic sciences, Acta Applicandae Mathematicae would like to encourage a greater contribution to its portfolio of published material that is underpinned by probability theory.

From January 2011, I have taken on the role of Corresponding Editor with the primary function of dealing with probabilistic submissions. Amongst the supporting editorial board are to be found:

Julien Berestycki (Oxford, UK and Paris VI, France),

Svetlana Boyarchenko (University of Texas at Austin, USA),

Robert Dalang (EPFL, Switzerland), Ben Hambly (Oxford University, UK),

Steffen Dereich (Munster, Germany),

Ioannis Kontoyiannis (Athens University of Economics & Business, Greece),

Arturo Kohatsu-Higa (Osaka University, Japan).

Because Acta Applicandae Mathematicae receives submissions from a broad range of mathematical disciplines, all papers will be refereed to a very high standard. Recent examples of material that has been published include:

Häggström, O. (2012), *A Pairwise Averaging Procedure with Application to Consensus Formation in the Deffuant Model.*
*Acta Applicandae Mathematicae, Volume 119, Issue 1, pp 185-201.*

Kuznetsov, A. and Pardo, J.C. (2013)
*Fluctuations of Stable Processes and Exponential Functionals of Hypergeometric Lévy Processes.*
*Acta Applicandae Mathematicae, Volume 123, Issue 1, pp 113-139.*

Liu, R-L.,
Ren, Y-X. and
Song, R. (2013), * Strong Law of Large Numbers for a Class of Superdiffusions.*
*Acta Applicandae Mathematicae, Volume 123, Issue 1, pp 73-97.*

Fu, H.,
Liu, J. and
Wan, L. (2013)
*
Hyperbolic Type Stochastic Evolution Equations with Lévy Noise
*
*Acta Applicandae Mathematicae, Volume 125, Issue 1, pp 193-208.*

Vigon, V. (2013),
*LU-factorization versus Wiener-Hopf factorization for Markov chains.*
*Acta Applicandae Mathematicae, Volume 128, Issue 1, pp 1-37.*

Bojdecki, T., Gorostiza, L.G. and Talarczyk, A. (2013),
*Oscillatory Fractional Brownian Motion.*
*Acta Applicandae Mathematicae, Volume 127, Issue 1, pp 193-215.*

Deriech, S. and Moerters, P. (2013),
* Emergence of condensation in Kingman's model of selection and mutation.*
*Acta Applicandae Mathematicae, Volume 127, Issue 1, pp 17-26. *

Kyprianou, A.E. and Ott, C. (2014),
* A capped optimal stopping problem for the maximum process.*
*Acta Applicandae Mathematicae, Volume 129, Issue 1, pp 147-174. *

Ren, Y-X., Song, R., and Zhang, R. (2014),
* Central Limit Theorems for Super Ornstein-Uhlenbeck Processes.*
*Acta Applicandae Mathematicae, Volume 130, Issue 1, pp 9-49. *

Chaumont, L.,
Bourget, R. and
Sapoukhina, N. (2014)
*Exponentiality of first passage times of continuous time Markov chains.*
*Acta Applicandae Mathematicae, Volume 131, Issue 1, pp 197-212.*

Baurdoux, E. and Schaik van K. (2014),
* Predicting the time at which a Lévy process attains its ultimate supremum.*
*Acta Applicandae Mathematicae, Volume 134, Issue 1.pp 21-44. *

Bocharov, S. and Harris, S.C. (2014)
*Branching Brownian Motion with catalytic branching at the origin.*
*Acta Applicandae Mathematicae, Volume 134, Issue 1, pp 201-228. *

Le Doux Mbele Bidima, M. and
Rasonyi, M. (2015),
*Asymptotic Exponential Arbitrage and Utility-Based Asymptotic Arbitrage in Markovian Models of Financial Markets. *
*Acta Applicandae Mathematicae, Volume 138, Issue 1, pp 1-15. *

Iksanov, A., Topchii, V. and Vatutin, V. (2015)
*A two-type Bellman--Harris process initiated by a large number of particles.*
*Acta Applicandae Mathematicae, Volume 138, Issue 1, pp 279-312. *

Li, Y.,
Wang, R. and
Zhang, S. (2015)
*Moderate deviations for a stochastic heat equation with spatially correlated noise.*
*Acta Applicandae Mathematicae, Volume 139, Issue 1, pp 59-80. *

Caraballo, T., Hammami, M.A. and Mchiri, M. (2016)
*Practical stability of stochastic delay evolution equations.*
*Acta Applicandae Mathematicae, Volume 142, Issue 1, pp 91-105.*

Gün, O. and Yilmaz, A.
The Stochastic Encounter-Mating Model.

*Acta Applicandae Mathematicae, to appear.*

Ren, Y-X, Song, R. and Zhang, R.
Functional Central Limit Theorems for Supercritical Superprocesses.

*Acta Applicandae Mathematicae, to appear.*

Chen, Z-Q. and Kim, P.
Global Dirichlet Heat Kernel Estimates for Symmetric Lévy Processes in Half-Space.

*Acta Applicandae Mathematicae, to appear.*

As with most journals Acta Applicandae Mathematicae is electronically managed and all submissions are encouraged through the webtool at the following URL:

http://www.editorialmanager.com/acap/

Further details on the submission format can also be found at

http://www.springer.com/mathematics/journal/10440

All this information is accessible from clearly visible links on the main webpage indicated at the beginning of this message. Please do not hesitate to contact me should you wish further information. It remains to say that Acta Applicandae Mathematicae looks forward to handling your submission.

On behalf of the editorial board,

Andreas Kyprianou

In 1993 I graduated with a first class honours Bachelor of Arts in Mathematics from the University of Oxford, where I studied at St. Anne's College. In 1996 I graduated from the School of Mathematics and Statitics, Sheffield University with Ph.D. in Probability Theory under the supervision of John Biggins. I then worked for six months at the Department of Statistics in the London School of Economics as a temporary lecturer. In 1997, I moved to The Netherlands where I worked for nearly two years for Shell International Exploration and Production as a mathematician in their Rijswijk research laboratories. I returned to academia at the end of 1998, where I took up a temporary lectureship at the School of Mathematics, Edinburgh University. There, I ran one of the UK's first MSc programmes in Mathematical Finance. At the turn of the Millennium, I moved back to The Netherlands where I worked at the Mathematical Institute at Utrecht Univeristy as a "Mathematics in Focus" research fellow with the tile of univeristeit docent (assistant professor). I spent over five very happy years there, during which time I obtained tenure. In mid 2005, I moved back to the UK. Initially I took a readership at The School of Mathematical and Computer Science, Heriot Watt in Edinburgh, but after a year, in 2006, I moved to a readership at in my current department at the University of Bath. In 2008, I became a full professor, around which time, together with colleagues, I began working on building the Probability Laboratory at Bath (Prob-L@B) and continue to do so today. For two months in 2010 I was visiting professor at the Mathematics Department, Université Libre de Bruxelles and between August 2012 and February 2013, I was visiting professor at the Institute for Mathematical Research, ETH Zürich. Since 2014 I hold a visiting professorship at CIMAT, Mexico, where I visit, on average, every 3-6 months. In 2014, following the award of a (circa) 4 million pound grant from EPSRC, on which I serve as PI, I became co-director of the EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa). In 2015, together with numerous colleagues, I began working on the Bath-UNAM-CIMAT (BUC) research platform. Since 2015, I have also been working with a broad range of mathematicians, statisticians and data scientists on the International Mathematics and Statistical Research Collaboration with Mongolia.