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Publications

Papers

Instability of the rate equations for creep coupled to swelling. J. Nuclear Materials (1985) 132 277-283 (with M.W. Finnis).

A note on superprocesses. Prob. Th. Rel. Fields (1991) 89 141-147 (with P. March).

The time of detection of recessive visible genes with nonrandom mating. Genet. Res. Camb.,(1992) 62 201-207 (with A.Caballero and W.G. Hill).

Asymptotic behaviour of measure-valued critical branching diffusion processes. Proc. A.M.S. (1993a) 118 no.4 1251-1261.

Limiting behaviour of two-level measure branching. Adv. Appl. Prob. (1993b) 25 773-782.

Conditioned superprocesses and a semilinear heat equation. Seminar on Stochastic Processes 1992 (1993c) Birkhäuser.

Almost sure convergence of measure-valued branching processes: A critical exponent. Proc. Roy. Soc. Ed. (1994) 124A 811-823.

Superprocesses, branching processes and an explosive pde. Israel Mathematical Conference Proceedings (1996a) 10: Random Fields and Measure-Valued Processes. J-P Fouque, KJ Hochberg & E Merzbach eds. A.M.S. 91-103.

A probabilistic approach to blowup of a semilinear heat equation. Proc. Roy. Soc. Ed. (1996b) 126A 1235-1245.

Persistence of a two-dimensional super-Brownian motion in a catalytic medium. Prob. Th. Rel. Fields (1996) 110 no.1, 1-12 (with K. Fleischmann).

Processus d'Antoniadis-Carmona et déviations modérés. Comptes Rendues de l'Acad. Sci. Serie I-Mathematique (1998) 326 no.5, 607-610 (with G. Stoica)

A decomposition of the Β-superprocess conditioned on survival Submitted (2002) (with D.R.E. Williams).

Mutually catalytic branching in the plane: finite measure states. Weierstrass Institute Preprint Number 615 Submitted to Annals of probability(2002) (with D. Dawson, K. Fleischmann, L. Mytnik, E. Perkins and J. Xiong).

Neutral evolution in spatially continuous populations. Theor. Pop. Biol. (2002) 61 31-48 (with N.H. Barton and F. Depaulis).

Mutually catalytic branching in the plane: infinite measure states. Weierstrass Institute Preprint Number 633. Elect. J. Probab. (2002) 7 1-61 (with D. Dawson, K. Fleischmann, L. Mytnik, E. Perkins and J. Xiong).

A decomposition of the (1 + β) superprocess conditioned on survival. Proc. Roy. Soc. Ed. Ser. (2003) A-Mathematics 133A, 829-847 (with D.R.E. Williams)

The distribution of surviving blocks of an ancestral genome (2003) (with S.J.E. Baird and N.H. Barton)

The effect of selection on genealogies.  Genetics (2003) 166 no.2, 1115-1131 (with N.H. Barton)

Coalescence in a random background.  Ann. Appl. Probab. (2004) 14 no.2, 754-785 (with N.H. Barton & A.K. Sturm)

Survival and extinction in a locally regulated population.  Annals Appl. Probab. (2004) Vol.14, no.1, 188-214

Alpha-stable branching and Beta-coalescents.  Elect. J. Probab. (2005) 10 303-325 (with J. Blath; M. Birkner; M. Capaldo; M. Mohle; J. Schweinsberg & A. Wakolbinger) 

An approximate sampling formula under genetic hitchhiking.  Ann. Appl. Probab. (2006) 16 no.2, 685-729 (with P. Pfaffelhuber & A. Wakolbinger)

Coexistence in locally regulated competing populations and survival of branching annihilating random walk.  Ann. Appl. Probab. (2007) 17 no.5/6, 1474-1507 

Drift, draft and structure: Some mathematical models of evolution.  Stoc. models in Biological Sciences (2008) 80

Rate of adaptation of large populations.  Evolutionary Biology from Concept to Application. Springer Berlin Heidelberg (2008) 3-27 (with Feng Yu)

How often does the ratchet click? facts, heuristics, asymptotics. Trends in Stochastic Analysis (2008) Cambridge University Press [available Nov. 2008] Part IV 13 (with P. Pfaffelhuber & A. Wakolbinger)

Books

An Introduction to Superprocesses. American Mathematical Society (2000).

A course in Financial Calculus. Cambridge University Press (2002).

Theory of $peculation.  Princeton University Press (2006) (with Mark Davis)

Editing

Stochastic Partial Differential Equations. (A refereed proceedings volume of the ICMS workshop on SPDE, March 21st-April 1st 1994.) Cambridge University Press (1995).