Speed calculations for random walks in degenerate random environments

TL;DR

This paper computes explicit and non-monotone speeds of random walks in various degenerate random environments, providing new insights into their behavior.

Contribution

It introduces explicit calculations of speeds in uniform environments and explores non-monotonic speeds in non-uniform environments, advancing understanding of these processes.

Findings

Explicit speeds for uniform environments derived

Non-monotone speeds identified in non-uniform environments

Enhanced understanding of random walk dynamics in degenerate settings

Abstract

We calculate explicit speeds for random walks in uniform degenerate random environments. For certain non-uniform random environments, we calculate speeds that are non-monotone.