In the random walks context, such models are referred to as Random Walks in Random Environments (RWRE). This is a relatively new chapter in applied probability and physics of disordered systems, initiated in the 1970s. Early interest was motivated by some problems in biology, crystallography ...
Glossary Definition of the Subject Introduction One Dimensional RWRE Multi Dimensional RWRE – non Perturbative Regime Multi Dimensional RWRE – the Perturbative Regime Diffusions in Random Environmentsdoi:10.1007/978-1-4614-1800-9_157Ofer Zeitouni...
Chapter Random Walks in Random Environments Introduction Random walks provide a simple conventional model to describe various transport processes, for example, propagation of heat or diffusion of matter through a medium (for a general reference see, e.g., Hughes (1995)). However, in many practical...
10.Limit Properties for Random Walks in Random Environments on Half-Line半直线上随机环境中随机游动的极限性质 11.RANDOM WALKS WITH RESTING STATE IN A INDEPENDENT RANDOM ENVIRONMENT ON THE LINE直线上的独立随机环境中可逗留的随机游动 12.THE LARGE DEVIATION PRINCIPLE FOR PERSISTENT RANDOM WALKS IN RAND...
Thomann, Continuity and anomalous fluctuations in random walks in dynamic random environments: numerics, phase diagrams and conjectures, arXiv:1201.2890 [math.PR].L. Avena and P. Thomann, Continuity and anomalous fluctuations in random walks in dynamic random environments: numerics, phase diagrams and...
We consider random walks in dynamic random environments, with an environment generated by the time-reversal of a Markov process from the oriented percolation universality class. If the influence of the random medium on the walk is small in space-time regions where the medium is typical, we ...
Random Walk in Random Environment: Introduction of Part III In the First Six Days After the Sixth Day What Can a Physicist Say About the Local Time ξ(0,n)? On the Favourite Value of the RWIRE A Few Further Problems Random Walks in Graphs: ...
摘要: We consider a transient one-dimensional random walk $X_n$ in random environment having zero asymptotic speed. For a class of non-i.i.d. environments we show that $\log X_n / \log n$ converges in probability to a positive constant.关键词:...
The Recurrence for a Class of Non-nearest-neighbor Random Walks in Random Environments。直线上独立随机环境中的随机游动。 Random Walks in a Independent Environment on the Line。随机环境中1维紧邻随机游动首达时渐近性质 。Asymptotic Behaviour of the First-Arrive Time Series of...
1) Random walk in time-random environments 时间随机环境下随机游动2) random walk in a random environment 随机环境下随机游动 1. Recurrence criteria for random walk in a random environment; 一类随机环境下随机游动的常返性3) random walks/random environment 随机游动/随机环境...