Results 31 to 40 of about 324 (56)
Diffusion limit for many particles in a periodic stochastic acceleration field
, 2008 The one-dimensional motion of any number $\cN$ of particles in the field of many independent waves (with strong spatial correlation) is formulated as a second-order system of stochastic differential equations, driven by two Wiener processes. In the limit
Elskens, Yves, Pardoux, Etienne
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The exit problem for diffusions with time-periodic drift and stochastic resonance
, 2005 Physical notions of stochastic resonance for potential diffusions in periodically changing double-well potentials such as the spectral power amplification have proved to be defective.
Herrmann, Samuel, Imkeller, Peter
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The sequential loss of allelic diversity
, 2018 This paper gives a new flavor of what Peter Jagers and his co-authors call `the path to extinction'. In a neutral population with constant size $N$, we assume that each individual at time $0$ carries a distinct type, or allele.
Achaz, Guillaume +2 more
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Gene flow across geographical barriers - scaling limits of random walks with obstacles
, 2018 In this paper, we study the scaling limit of a class of random walks which behave like simple random walks outside of a bounded region around the origin and which are subject to a partial reflection near the origin.
Forien, Raphael
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The coalescent effective size of age-structured populations
, 2004 We establish convergence to the Kingman coalescent for a class of age-structured population models with time-constant population size. Time is discrete with unit called a year.
Jagers, Peter, Sagitov, Serik
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Time averages, recurrence and transience in the stochastic replicator dynamics
, 2009 We investigate the long-run behavior of a stochastic replicator process, which describes game dynamics for a symmetric two-player game under aggregate shocks.
Hofbauer, Josef, Imhof, Lorens A.
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The long-run behavior of the stochastic replicator dynamics
, 2005 Fudenberg and Harris' stochastic version of the classical replicator dynamics is considered. The behavior of this diffusion process in the presence of an evolutionarily stable strategy is investigated.
Imhof, Lorens A.
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A multispecies birth-death-immigration process and its diffusion approximation
, 2016 We consider an extended birth-death-immigration process defined on a lattice formed by the integers of $d$ semiaxes joined at the origin. When the process reaches the origin, then it may jumps toward any semiaxis with the same rate.
Di Crescenzo, Antonio +2 more
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Ancestral processes with selection: Branching and Moran models
, 2007 We consider two versions of stochastic population models with mutation and selection. The first approach relies on a multitype branching process; here, individuals reproduce and change type (i.e., mutate) independently of each other, without restriction ...
Ellen Baake +3 more
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A stochastic model for the stepwise motion in actomyosin dynamics
, 2003 A jump-diffusion process is proposed to describe the displacements performed by single myosin heads along actin filaments during the rising phases.
Buonocore, A. +3 more
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