We study the behavior of random walk in random environment (RWRE) on trees in the critical case left open in previous work. Representing the random walk by an electrical network, we assume that the ...

Branching processes in random environments constitute a significant class of stochastic models designed to capture the interplay between intrinsic reproductive dynamics and extrinsic environmental ...

In an unpredictably changing environment, phenotypic variability may evolve as a "bet-hedging" strategy We examine here two models for evolutionarily stable phenotype distributions resulting from ...

Random walks in random environments constitute a pivotal area of research at the interface of probability theory, statistical physics and mathematical modelling. This field investigates stochastic ...

Even in a world with a pristine environment, no cigarettes and the ability to fix faulty genes inherited from our parents, most of the cancers diagnosed today still would occur thanks to a combination ...