Collisions of random walks in dynamic random environments
Copyright policy )Collisions of random walks in dynamic random environments
We study dynamic random conductance models on $\mathbb{Z}^2$ in which the environment evolves as a reversible Markov process that is stationary under space-time shifts. We prove under a second moment assumption that two conditionally independent random walks in the same environment collide infinitely often almost surely. These results apply in particular to random walks on dynamical percolation.
Sums of independent random variables; random walks, Probability (math.PR), random walks, Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics, collisions, Markov chains (discrete-time Markov processes on discrete state spaces), 510, Random walks on graphs, FOS: Mathematics, dynamic random environments, Collisions, Dynamical percolation, Processes in random environments, dynamical percolation, Random walks, Mathematics - Probability
Sums of independent random variables; random walks, Probability (math.PR), random walks, Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics, collisions, Markov chains (discrete-time Markov processes on discrete state spaces), 510, Random walks on graphs, FOS: Mathematics, dynamic random environments, Collisions, Dynamical percolation, Processes in random environments, dynamical percolation, Random walks, Mathematics - Probability
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