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Branching processes in random environments with thresholds [PDF]
Advances in Applied Probability, 2023 AbstractMotivated by applications to COVID dynamics, we describe a model of a branching process in a random environment $\{Z_n\}$ whose characteristics change when crossing upper and lower thresholds. This introduces a cyclical path behavior involving periods of increase and decrease leading to supercritical and subcritical regimes.
Giacomo Francisci, Anand N. Vidyashankar
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Large Deviations for Processes in Random Environments with Jumps
Electronic Journal of Probability, 2011 A deterministic walk in a random environment can be understood as a general random process with finite-range dependence that starts repeating a loop once it reaches a site it has visited before. Such process lacks the Markov property. We study the exponential decay of the probabilities that the walk will reach sites located far away from the origin. We
Ivan Matic
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The Growth of Supercritical Branching Processes with Random Environments
Annals of Probability, 1973 For the supercritical branching process with random environments, the rate of growth of the generation size $Z_n$ is studied in the marginal distribution. It is shown that unless the environmental process yields a constant conditional expectation $E(Z_1 \mid \zeta)$, the asymptotic distribution of $$(Z_n \exp(-nE_\zeta(\log E(Z_1 \mid \zeta))))^{n ...
Niels Keiding
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Comparison Results for Branching Processes in Random Environments [PDF]
Journal of Applied Probability, 2007 In this note we consider branching processes whose behavior depends on a dynamic random environment, in the sense that we assume that the offspring distributions of individuals are parametrized, over time, by the realizations of a process describing the environmental evolution.
Pellerey, Franco
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Editorial for Special Issue “Fractional Dynamics: Theory and Applications”
Fractal and Fractional, 2022 The investigation of fluctuations and random processes in complex systems and random environments has been attracting much attention for years [...]
Trifce Sandev
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Zero-Range Process in Random Environment [PDF]
, 2021 We survey our recent articles dealing with one dimensional attractive zero range processes moving under site disorder. We suppose that the underlying random walks are biased to the right and so hyperbolic scaling is expected. Under the conditions of our model the process admits a maximal invariant measure.
Bahadoran, Christophe +3 more
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Fractal Dimensions of Random Trees [PDF]
The Egyptian Statistical Journal, 1994 Our goal in this paper is to determine whether the fractal dimensions (FD) of random trees is finite. Two types of random trees are considered. We first consider spherically symmetric random trees in which all vertices at level n have degree 3 with ...
Mokhtar Konsowa
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Strong Dispersal Limitation of Microbial Communities at Shackleton Glacier, Antarctica
mSystems, 2023 Microbial communities can be structured by both deterministic and stochastic processes, but the relative importance of these processes remains unknown. The ambiguity partly arises from an inability to disentangle soil microbial processes from confounding
Nathan P. Lemoine +8 more
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Frontiers in Physics, 2021 Cell migration through extracellular matrices is critical to many physiological processes, such as tissue development, immunological response and cancer metastasis.
Kejie Chen, Kai-Rong Qin
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Branching Processes in a Lévy Random Environment [PDF]
Acta Applicandae Mathematicae, 2017 In this paper, we introduce branching processes in a Lévy random environment. In order to define this class of processes, we study a particular class of non-negative stochastic differential equations driven by Brownian motions and Poisson random measures which are mutually independent.
Sandra Palau, Juan Carlos Pardo
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