2022/04/30 by Weberson S. Arcanjo, Arcanjo, Weberson S., Rangel Baldasso +5
Mathematics · Decision Sciences · #Stochastic processes and statistical mechanics #Probability and Risk Models #Markov Chains and Monte Carlo Methods
paper · pdf · doi:10.48550/arxiv.2205.00282
We establish a strong law of large numbers for one-dimensional continuous-time random walks in dynamic random environments under two main assumptions: the environment is required to satisfy a decoupling inequality that can be interpreted as a bound on the speed of dependence propagation, while the random walk is assumed to move ballistically with a speed larger than this bound. Applications include environments with strong space-time correlations such as the zero-range process and the asymmetric exclusion process.