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Disambiguation of "Durrett, R."

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Hybrid zones and voter model interfaces

, and . Bernoulli, 1 (4): 343--370 (1995)

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R Chaudhury

R Bässler

R Giese

R Sailer

R Oppelt

 

Other publications of authors with the same name

Approximating selective sweeps, and . Theor Popul Biol, 66 (2): 129-138 (September 2004)Wagner's canalization model, and . Theor Popul Biol, 71 (2): 121-130 (March 2007)The equilibrium behavior of reversible coagulation-fragmentation processes, , and . Journal of Theoretical Probability, 12 (2): 447--474 (1999)The genealogy of critical branching processes. Stochastic Process. Appl., 8 (1): 101--116 (1978/79)Probability: Theory and Examples. Duxbury, (2009)Probability : Theory and Examples. Wadsworth, Pacific Grove, California, (1991)Statistical mechanics of crabgrass, , and . Ann. Probab., 17 (2): 444--481 (1989)This paper examines a version of the contact process with a large range. Particles die at rate 1, and a particle is created at an empty site $x$ at rate $łambda$ times the fraction of occupied sites in $y:||x-y||M$. This contact process is dominated by a branching random walk with death rate 1 and birth rate $łambda$, and it is shown that in many ways these two processes are very similar when $M$ is large. In particular, as $M\toınfty$, the critical value for the contact process converges to 1, which is the critical value for branching random walks. The authors obtain precise rates for this convergence, in every dimension, enabling them to describe the ``crossover'' from contact process to branching process behavior in terms of the survival probability of a process started from a single particle. The proofs of the main results use many estimates for branching random walks, further detailing the nature of this crossover behavior..A surprising Poisson process arising from a species competition model, and . Stochastic processes and their applications, 102 (2): 301--309 (2002)Stepping-stone spatial structure causes slow decay of linkage disequilibrium and shifts the site frequency spectrum, and . Genetics, 176 (2): 969-981 (June 2007)The genealogy of critical branching processes. Stochastic Processes and their Applications, 8 (1): 101--116 (November 1978)