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Critical branching processes in a sparse random environment
Modern Stochastics: Theory and Applications, 2023 We introduce a branching process in a sparse random environment as an intermediate model between a Galton–Watson process and a branching process in a random environment.
Dariusz Buraczewski +3 more
doaj +1 more source
Annihilating branching processes
Stochastic Processes and their Applications, 1991 AbstractWe consider Markov processes ηt ⊂ Zd in which (i) particles die at rate δ ⩾ 0, (ii) births from x to a neighboring y occur at rate 1, and (iii) when a new particle lands on an occupied site the particles annihilate each other and a vacant site results.
Ding Wan-ding +2 more
openaire +2 more sources
The coalescent point process of branching trees [PDF]
, 2013 We define a doubly infinite, monotone labeling of Bienayme-Galton-Watson (BGW) genealogies. The genealogy of the current generation backwards in time is uniquely determined by the coalescent point process $(A_i; i\ge 1)$, where $A_i$ is the coalescence ...
Lambert, Amaury, Popovic, Lea
core +2 more sources
Quasi-processes for branching Markov chains [PDF]
arXiv, 2021 Potential theory is a central tool to understand and analyse Markov processes. In this article, we develop its probabilistic counterpart for branching Markov chains. Specifically, we examine versions of quasi-processes or interlacements that incorporate branching, referred to as branching quasi-processes.
arxiv
On subcritical multi-type branching process in random environment [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We investigate a multi-type Galton-Watson process in a random environment generated by a sequence of independent identically distributed random variables.
Elena Dyakonova
doaj +1 more source
Infinite-Scale Percolation in a New Type of Branching Diffusion Processes [PDF]
Journal of Statistical Physics, vol. 71, p. 799 (1993), 1992 We give an account of matter and (basically) a solution of a new class of problems synthesizing percolation theory and branching diffusion processes. They led us to realizing a novel type of stochastic processes, namely branching processes with diffusion on the space of parameters distinguishing the branching `particles' each other.
arxiv +1 more source
Quasi-stationary distributions associated with explosive CSBP
, 2013 We characterise all the quasi-stationary distributions and the Q-process associated with a continuous state branching process that explodes in finite time.
Labbé, Cyril
core +3 more sources
A particle system with cooperative branching and coalescence [PDF]
, 2015 In this paper, we introduce a one-dimensional model of particles performing independent random walks, where only pairs of particles can produce offspring ("cooperative branching"), and particles that land on an occupied site merge with the particle ...
Sturm, Anja, Swart, Jan M.
core +1 more source
Stochastic SIS Modelling: Coinfection of Two Pathogens in Two-Host Communities
Entropy, 2019 A pathogen can infect multiple hosts. For example, zoonotic diseases like rabies often colonize both humans and animals. Meanwhile, a single host can sometimes be infected with many pathogens, such as malaria and meningitis.
Auwal Abdullahi +4 more
doaj +1 more source
Scaling Limits of Controlled Branching Processes [PDF]
arXiv, 2022 In this paper, a special sequence of controlled branching processes is considered. We provide a simple set of sufficient conditions for the weak convergence of such processes to a weak solution to a kind of continuous branching processes with dependent immigration.
arxiv