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.

We propose a framework for planning in unknown dynamic environments with probabilistic safety guarantees using conformal prediction. Particularly, we design model predictive controller (MPC) that uses i) trajectory predictions of the environment, and ii) prediction regions quantifying uncertainty predictions. To obtain regions, use prediction, statistical tool quantification, requires availabil...