We study dynamic random conductance models on Z2 in which the environment evolves as a reversible Markov process that is stationary under space-time shifts. prove second moment assumption two conditionally independent walks same collide infinitely often almost surely. These results apply particular to dynamical percolation.

In a classical random walk model, walker moves through deterministic d-dimensional integer lattice in one step at time, without drifting any direction. more advanced setting, randomly over configured (non equidistant) jumping number of steps. some further variants, there is limited access walker’s moves. That is, the movements are not available real time. Instead, observations to epochs resulti...