Dr. S. C. Harris

Department of Mathematical Sciences


Probability
at Bath

Contact Details Teaching Research Interests Projects Papers

Papers

 

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) (postscript)

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) (postscript) Extended version: (pdf) (postscript)

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) (postscript

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) (postscript

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,
Stats. & Prob. Letters., Vol. 79, (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, (to appear) arXiv:0911.5179v2

17. "Branching Brownian motion: Almost sure growth along scaled paths” , S.C.Harris & M.Roberts,
Séminaire de Probabilités, XLIV, (to appear), 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, (to appear), arXiv:1001.2471v1

19."The many-to-few lemma and multiple spines", S.C.Harris & M.Roberts, arXiv:1106.4761v2

 

In preparation

"Branching Brownian motion in an inhomogeneous branching potential", J.Berestycki, E.Brunet, J.W.Harris, S.C.Harris & M.Roberts,

"Near-critical survival probability of branching Brownian motion with an absorbing barrier", E.Aidekon & S.C.Harris.

 

Other Preprints

"Some path large deviation results for a branching diffusion", R. Hardy & S.C.Harris, (2007), (path-LD-oubbm-sub.pdf),
Extended article based on preprint: Mathematics Preprint, University of Bath . 0408 (2004) (spine-oubbm.pdf) (spine-oubbm.ps)

"Large-deviations and martingales for a typed branching diffusion : II", Y.Git & S.C.Harris, (2000) (pdf) (postscript)

"A new formulation of the spine approach to branching diffusions", R.Hardy & S.C.Harris, arXiv:math.PR/0611054, (2006)
Based on preprint: Mathematics Preprint, University of Bath . 0404 (2004): (spine-foundations.pdf) (spine-foundations.ps) Revised material to appear in Séminaire de Probabilités

"Spine proofs for Lp-convergence of branching-diffusion martingales", R.Hardy & S.C.Harris, arXiv:math.PR/0611056, (2006).
Based on preprint: Mathematics Preprint, University of Bath . 0405 (2004): (spine-Lp-cgce.pdf) (spine-Lp-cgce.ps). Revised material to appear in Séminaire de Probabilités

Dr. Harris Univ of Bath Maths Dept Seminars Prob@Bath

Date page last edited: Monday, March 1, 2010 12:04