Publications – Dr.Simon C.
Harris
1."Algebra,
analysis and probability for a coupled system of reaction-diffusion
equations", A.Champneys,,
S.C.Harris, J.F.Toland, J.Warren & D.Williams,
Phil. Trans. Roy. Soc. London (A), (1995), 350, 69-112. ISSN 0962-8428
2. "Large-deviations
and martingales for a typed branching diffusion :
I", S.C.Harris & D.Williams,
Astérisque, (1996) 236, pages 133-154.
ISSN 0303-1179. Article: (pdf)
3.
"Scaling random walks on arbitrary sets", S.C.Harris, R.Sibson & D.Williams,
Math. Proc. Cam. Phil. Soc., (1999) 125, pages 535-544. ISSN
0305-0041 Article: (pdf) Extended version: (pdf)
4.
"Travelling-waves for the FKPP equation via probabilistic
arguments", S.C. Harris
Proc. Roy. Soc. Edin., (1999) 129A,
pages 503-517. ISSN 0308-2105. Article: (pdf)
5.
"Convergence of a Gibbs-Boltzmann random measure for a typed branching
diffusion", S.C.Harris
Séminaire de Probabilités,
XXXIV, (2000). ISSN 0075-8434. Article: (pdf)
6. "Further
probabilistic analysis of the Fisher-Kolmogorov-Petrovskii-Piscounov equation: one-sided travelling waves", J.W.Harris, S.C.Harris & A.E.Kyprianou,
Annales de l'Institut Henri Poincaré (B) Probability and Statistics, (2006), Vol. 42,
pages 125-145 doi:10.1016/j.anihpb.2005.02.005
7. "A
conceptual approach to a path result for branching Brownian motion", R.Hardy & S.C.Harris,
Stochastic Processes & their Applications, (2006),116,
pages 1992-2013 doi:10.1016/j.spa.2006.05.010
8. "Exponential
growth rates in a typed branching diffusion", Y.Git,
J.W.Harris & S.C.Harris,
Annals of
Applied Probability, (2007), Vol. 17, No. 2, pages
609–653 doi:10.1214/105051606000000853 Article: (AAP0219.pdf).
9.
"Survival probabilities for branching Brownian motion with
absorption", J.W.Harris & S.C.Harris
Electronic Communications in Probability, (2007), Vol. 12,
Paper 11, pages 81-92. Published April 7, 2007. Article: ECP link (ECP-2007-1862.pdf)
10. "Branching Brownian motion with an
inhomogeneous breeding potential", J.W.Harris & S.C.Harris,
Annales de l'Institut Henri Poincaré
(B) Probability and Statistics, (2009), Vol. 45, No. 3, pages
793-801. doi: 10.1214/08-aihp300 Preprint: InhomBBM-aihp-270408.pdf
11. , "A spine
approach to branching diffusions with applications to Lp-convergence
of martingales”, R.Hardy & S.C.Harris,
Séminaire de Probabilités,
XLII, (2009), pages 281-330. spine-applics-BD-semprob-final.pdf
12. "Measure
changes with extinction", S.C.Harris & M.Roberts,Vol. 79,
Stats. & Prob. Letters, (2009), pages 1129-1133, doi:10.1016/j.spl.2008.12.025 arXiv:0811.1696v1
13.
"Strong Law of Large numbers for branching diffusions", J.Engländer, S.C.Harris & A.E.Kyprianou,
Annales de l'Institut Henri Poincaré
(B) Probability and Statistics, (2010), Vol.46, No. 1, 279-298. doi:10.1214/09-AIHP203 arXiv:0709.0272v1
14. "Strong
Law of Large numbers for fragmentation processes”, S.C.Harris,
R.Knobloch & A.E.Kyprianou,
Annales de l'Institut Henri Poincaré
(B) Probability and Statistics, (2010), Vol.46, No. 1, 119–134. doi: 10.1214/09-AIHP311 arXiv:0809.2958v1
15. "The
almost-sure population growth rate in branching Brownian motion with a
quadratic breeding potential", J.Berestycki,
E.Brunet, J.W.Harris & S.C.Harris,
Stats. & Prob. Letters, (2010), 80, 1442--1446. doi:10.1016/j.spl.2010.05.011 arXiv:0912.1360v2
16. "Travelling
waves and homogeneous fragmentation" , J.Berestycki, S.C.Harris & A.E.Kyprianou,
Annals
of Applied Probability, (2011), Vol. 21, No. 5, 1749–1794. doi: 10.1214/10-AAP733 arXiv:0911.5179v2
17. "Branching Brownian motion: Almost sure
growth along scaled paths” , S.C.Harris
& M.Roberts,
Séminaire de Probabilités, XLIV, (2012), ISBN 978-3-642-27460-2, arXiv:0906.0291v1
18. "The unscaled paths of branching Brownian motion", S.C.Harris & M.Roberts,
Annales de l'Institut Henri Poincaré
(B) Probability and Statistics, Volume 48, Number 2 (2012), 579-608. arXiv:1001.2471v1
19. “Some path
large deviation results for a branching diffusion”, R. Hardy & S.C.Harris, Advances
in Superprocesses and Nonlinear PDEs, Springer Proceedings in Mathematics
& Statistics, Vol. 38 J.Englander; B.Rider (Eds.), (2013), 61–91.
20."The
many-to-few lemma and multiple spines", S.C.Harris
& M.Roberts, (2011), arXiv:1106.4761v2
21."Growth rates of the population in a
branching Brownian motion with an inhomogeneous breeding potential", Julien Berestycki, Éric Brunet, John W. Harris, Simon C. Harris, Matthew I. Roberts , (2012), arXiv:1203.0513v1
22."Branching Random
Walk in an inhomogeneous breeding potential", Sergey Bocharov
& Simon C. Harris, (2013), http://arxiv.org/abs/1302.4084
23."Branching
Brownian Motion with catalytic branching at the origin", Sergey Bocharov
& Simon C. Harris, (2013), http://arxiv.org/abs/1302.4087.
24.”Branching Brownian
motion in strip: survival near criticality”, Simon Harris, Marion Hesse & Andreas E. Kyprianou, (2012), http://arxiv.org/abs/1212.1444
25."A strong law of large numbers for
branching processes: almost sure spine events", S.C.Harris
& M.Roberts, (2013), http://arxiv.org/abs/1302.7199
26."Near-critical
survival probability of branching Brownian motion with an absorbing
barrier", E.Aidekon & S.C.Harris
(in preparation)