Zobrazeno 1 - 10
of 47
pro vyhledávání: '"60J27, 60J80"'
We study the Fleming--Viot particle system in a discrete state space, in the regime of a fast selection mechanism, namely with killing rates which grow to infinity. This asymptotics creates a time scale separation which results in the formation of a
Externí odkaz:
http://arxiv.org/abs/2407.02054
We consider a model of a population with fixed size $N$, which is subjected to an unlimited supply of beneficial mutations at a constant rate $\mu_N$. Individuals with $k$ beneficial mutations have the fitness $(1+s_N)^k$. Each individual dies at rat
Externí odkaz:
http://arxiv.org/abs/2407.01999
Autor:
Ramanan, Kavita
Large ensembles of stochastically evolving interacting particles describe phenomena in diverse fields including statistical physics, neuroscience, biology, and engineering. In such systems, the infinitesimal evolution of each particle depends only on
Externí odkaz:
http://arxiv.org/abs/2401.00082
Autor:
Filichkina, E., Yarovaya, E.
We consider a time-continuous branching random walk on a one-dimensional lattice on which there is one center (lattice point) of particle generation, called branching source. The generation of particles in the branching source is described by a Marko
Externí odkaz:
http://arxiv.org/abs/2312.11398
We consider a continuous-time branching random walk on $\mathbb{Z}$ in a random non homogeneous environment. Particles can walk on the lattice points or disappear with random intensities. The process starts with one particle at initial time $t=0$. It
Externí odkaz:
http://arxiv.org/abs/2312.05872
Autor:
Esser, Manuel, Kraut, Anna
We consider a stochastic individual-based model of adaptive dynamics for an asexually reproducing population with mutation, with linear birth and death rates, as well as a density-dependent competition. To depict repeating changes of the environment,
Externí odkaz:
http://arxiv.org/abs/2310.20509
Autor:
Filichkina, E., Yarovaya, E.
We consider a new model of a branching random walk on a multidimensional lattice with continuous time and one source of particle reproduction and death, as well as an infinite number of sources in which, in addition to the walk, only absorption of pa
Externí odkaz:
http://arxiv.org/abs/2302.05689
We develop a new methodology for the fluctuation theory of continuous-time skip-free Markov chains, extending the recent work of Choi and Patie [5] for discrete-time skip-free Markov chains. As the main application we use it to derive a full set of f
Externí odkaz:
http://arxiv.org/abs/2208.14425
Publikováno v:
Mathematics 2022, 10, 867. Molchanov, S.; Yarovaya, E. Branching RandomWalks with Two Types of Particles on Multidimensional Lattices. Mathematics 2022, 10, 867
We consider a continuous-time branching random walk on a multidimensional lattice with two types of particles and an infinite number of initial particles. The main results are devoted to the study of the generating function and the limiting behavior
Externí odkaz:
http://arxiv.org/abs/2202.02742
Autor:
Esser, Manuel, Kraut, Anna
We consider a stochastic individual-based model of adaptive dynamics on a finite trait graph $G=(V,E)$. The evolution is driven by a linear birth rate, a density dependent logistic death rate an the possibility of mutations along the (possibly direct
Externí odkaz:
http://arxiv.org/abs/2112.12675