Snake representation of a superprocess in random environment
Leonid Mytnik, Jie Xiong, Ofer Zeitouni
TL;DR
This paper introduces a novel representation of the limiting behavior of branching particles in a random environment using a Brownian snake, providing new insights into their stochastic dynamics.
Contribution
It presents a new representation of the limit process of branching particles in random environments via a Brownian snake, extending existing models.
Findings
Limit process represented by a Brownian snake in random environment
Applicable to i.i.d. in time and spatially correlated environments
Provides a new framework for analyzing branching processes in random settings
Abstract
We consider (discrete time) branching particles in a random environment which is i.i.d. in time and possibly spatially correlated. We prove a representation of the limit process by means of a Brownian snake in random environment.
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Taxonomy
TopicsStochastic processes and statistical mechanics · Algorithms and Data Compression · Bayesian Methods and Mixture Models