Branching processes with immigration in atypical random environment
Sign Up to like & getrecommendations! Published in 2021 at "Extremes"
DOI: 10.1007/s10687-021-00427-1
Abstract: Motivated by a seminal paper of Kesten et al. (Ann. Probab., 3(1), 1–31, 1975) we consider a branching process with a conditional geometric offspring distribution with i.i.d. random environmental parameters An, n ≥ 1 and with… read more here.
Keywords: processes immigration; branching processes; random; log ... See more keywords
Lower deviations for supercritical branching processes with immigration
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DOI: 10.1007/s11464-021-0922-9
Abstract: For a supercritical branching processes with immigration { Z n }, it is known that under suitable conditions on the offspring and immigration distributions, Z n / m n converges almost surely to a finite… read more here.
Keywords: lower deviations; immigration; branching processes; supercritical branching ... See more keywords
The survival probability of critical and subcritical branching processes in finite state space Markovian environment
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DOI: 10.1016/j.spa.2018.07.016
Abstract: Let $(Z_n)_{n\geqslant 0}$ be a branching process in a random environment defined by a Markov chain $(X_n)_{n\geqslant 0}$ with values in a finite state space $\mathbb X$ starting at $X_0=i \in\mathbb X$. We extend from… read more here.
Keywords: branching processes; finite state; state space; environment ... See more keywords
On the genealogy and coalescence times of Bienaymé–Galton–Watson branching processes
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DOI: 10.1080/15326349.2017.1375958
Abstract: ABSTRACT Coalescence processes have received a lot of attention in the context of conditional branching processes with fixed population size and non-overlapping generations. Here, we focus on similar problems in the context of the standard… read more here.
Keywords: bienaym galton; galton watson; watson branching; genealogy ... See more keywords
Survival of some measure-valued Markov branching processes
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DOI: 10.1080/15326349.2019.1578238
Abstract: Abstract We investigate conditions for survival in the L1-norm sense of the Log-Laplace equations of a class of Markov branching processes with values in the space of Radon measures on a locally compact space D.… read more here.
Keywords: markov branching; branching processes; survival measure; valued markov ... See more keywords
Ancestral inference for branching processes in random environments and an application to polymerase chain reaction
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DOI: 10.1080/15326349.2019.1588133
Abstract: Abstract Branching processes in random environments arise in a variety of applications such as biology, finance, and other contemporary scientific areas. Motivated by these applications, this article investigates the problem of ancestral inference. Specifically, the… read more here.
Keywords: random environments; branching processes; chain reaction; processes random ... See more keywords
Multivariate Extremes of Random Scores of Particles in Branching Processes with Max-Linear Heredity
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DOI: 10.1134/s0001434619030088
Abstract: The paper continues the author’s long-term study of the extrema of random scores of particles in branching processes. It is assumed that the particle scores are dependent via common heredity, the dependence being determined by… read more here.
Keywords: max linear; particles branching; scores particles; heredity ... See more keywords
Symmetries and Asymmetries in Branching Processes
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DOI: 10.3390/sym15061154
Abstract: As is known in stochastic particle theory, the same random process can be described by two different master equations for the evolution of the probability density, namely, by a forward or a backward master equation.… read more here.
Keywords: symmetries asymmetries; branching processes; asymmetries branching;