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Comparison Results for Branching Processes in Random Environments [PDF]
Journal of Applied Probability, 2007 We consider branching processes whose behaviors depend on a dynamic random environment, in the sense that we assume the offsprings distributions of individuals parametrized, during time, by the realizations of a process describing the environmental ...
Pellerey, Franco
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Large deviations for Branching Processes in Random Environment
, 2008 A branching process in random environment $(Z_n, n \in \N)$ is a generalization of Galton Watson processes where at each generation the reproduction law is picked randomly.
Bansaye, Vincent, Berestycki, Julien
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Three eruptions at the Fagradalsfjall Volcano in Iceland show rapid and predictable microbial community establishment [PDF]
Communications BiologyHow natural environments transition from uninhabited to inhabited is an incompletely understood question in ecology. We leverage the 2021–2023 Fagradalsfjall eruptions in Iceland as a natural experiment, tracking microbial colonization on the new lava ...
Nathan Hadland +3 more
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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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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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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 random environments with thresholds
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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Branching Processes in a Lévy Random Environment [PDF]
Acta Applicandae Mathematicae, 2017 في هذه الورقة، نقدم عمليات التفرع في بيئة عشوائية ليفي. من أجل تحديد هذه الفئة من العمليات، ندرس فئة معينة من المعادلات التفاضلية العشوائية غير السلبية المدفوعة بالضوضاء البيضاء ومقاييس بواسون العشوائية المستقلة بشكل متبادل. باتباع تقنيات مماثلة كما هو الحال في داوسون ولي (آن. بروباب. 40: 813-857، 2012) ولي وبو (إلكترون. Commun. Probab.
Sandra Palau, Juan Carlos Pardo
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Applied Network Science, 2023 Interactive programming environments are powerful tools for promoting innovative network thinking, teaching science of complexity, and exploring emergent phenomena.
Ayan Chatterjee +3 more
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