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of 39
pro vyhledávání: '"60J80, 60J10"'
Let $G$ be an infinite, locally finite graph. We investigate the relation between supercritical, transient branching random walk and the Martin boundary of its underlying random walk. We show results regarding the typical asymptotic directions taken
Externí odkaz:
http://arxiv.org/abs/2308.03711
Autor:
Wang, Hua-Ming
Consider a branching process $\{Z_n\}_{n\ge 0}$ with immigration in varying environment. For $a\in\{0,1,2,...\},$ let $C=\{n\ge0:Z_n=a\}$ be the collection of times at which the population size of the process attains level $a.$ We give a criterion to
Externí odkaz:
http://arxiv.org/abs/2308.03614
In this paper, we consider certain linear-fractional branching processes with immigration in varying environments. For $n\ge0,$ let $Z_n$ counts the number of individuals of the $n$-th generation, which excludes the immigrant which enters into the sy
Externí odkaz:
http://arxiv.org/abs/2205.00490
Autor:
Blancas, Airam, Palau, Sandra
Consider an arbitrary large population at the present time, originated at an unspecified arbitrary large time in the past, where individuals in the same generation reproduce independently, forward in time, with the same offspring distribution but pot
Externí odkaz:
http://arxiv.org/abs/2202.07084
Autor:
Greco, Lila, Levine, Lionel
A branching process in a Markovian environment consists of an irreducible Markov chain on a set of "environments" together with an offspring distribution for each environment. At each time step the chain transitions to a new random environment, and o
Externí odkaz:
http://arxiv.org/abs/2106.11249
Autor:
Wang, Hua-Ming
In this paper we study a 2-type linear-fractional branching process in varying environment with asymptotically constant mean matrices. Let $\nu$ be the extinction time and for $k\ge1$ let $M_k$ be the mean matrix of offspring distribution of individu
Externí odkaz:
http://arxiv.org/abs/2106.01203
Publikováno v:
Electron. J. Probab. 27: 1-19 (2022)
We consider diffusion-limited annihilating systems with mobile $A$-particles and stationary $B$-particles placed throughout a graph. Mutual annihilation occurs whenever an $A$-particle meets a $B$-particle. Such systems, when ran in discrete time, ar
Externí odkaz:
http://arxiv.org/abs/2104.12797
We consider Galton-Watson branching processes with countable typeset $\mathcal{X}$. We study the vectors ${\bf q}(A)=(q_x(A))_{x\in\mathcal{X}}$ recording the conditional probabilities of extinction in subsets of types $A\subseteq \mathcal{X}$, given
Externí odkaz:
http://arxiv.org/abs/2011.10071
We study the recurrence of one-per-site frog model $\text{FM}(d, p)$ on a $d$-ary tree with drift parameter $p\in [0,1]$, which determines the bias of frogs' random walks. We are interested in the minimal drift $p_{d}$ so that the frog model is recur
Externí odkaz:
http://arxiv.org/abs/2008.09226
Autor:
Sørensen, Frederik
In this paper, we propose to study a general notion of a down-up Markov chain for multifurcating trees with n labelled leaves. We study in detail down-up chains associated with the $(\alpha, \gamma)$-model of Chen et al. (2009), generalising and furt
Externí odkaz:
http://arxiv.org/abs/2008.02761