RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Journal history Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Fundam. Prikl. Mat.: Year: Volume: Issue: Page: Find

 Fundam. Prikl. Mat., 2018, Volume 22, Issue 3, Pages 37–56 (Mi fpm1803)

Simulation of branching random walks on a multidimensional lattice

E. M. Ermishkina, E. B. Yarovaya

Lomonosov Moscow State University

Abstract: We consider continuous-time branching random walks on multidimensional lattices with birth and death of particles at a finite number of lattice points. Such processes are used in numerous applications, in particular, in statistical physics, population dynamics, and chemical kinetics. In the last decade, for various models of branching random walks, a series of limit theorems about the behavior of the process for large times has been obtained. However, it is almost impossible to analyze analytically branching random walks on finite time intervals; so in this paper we present an algorithm for simulating branching random walks and examples of its numerical realization.

 Funding Agency Grant Number Russian Foundation for Basic Research 17-01-00468_a

Full text: PDF file (508 kB)
References: PDF file   HTML file

UDC: 519.21+519.245

Citation: E. M. Ermishkina, E. B. Yarovaya, “Simulation of branching random walks on a multidimensional lattice”, Fundam. Prikl. Mat., 22:3 (2018), 37–56

Citation in format AMSBIB
\Bibitem{ErmYar18} \by E.~M.~Ermishkina, E.~B.~Yarovaya \paper Simulation of branching random walks on a~multidimensional lattice \jour Fundam. Prikl. Mat. \yr 2018 \vol 22 \issue 3 \pages 37--56 \mathnet{http://mi.mathnet.ru/fpm1803}