# Random walks in dynamic random environments and ancestry under local population regulation

@article{Birkner2016RandomWI, title={Random walks in dynamic random environments and ancestry under local population regulation}, author={Matthias C. F. Birkner and Jivr'i vCern'y and Andrej Depperschmidt}, journal={Electronic Journal of Probability}, year={2016}, volume={21} }

We consider random walks in dynamic random environments, with an environment generated by the time-reversal of a Markov process from the oriented percolation universality class. If the influence of the random medium on the walk is small in space-time regions where the medium is typical, we obtain a law of large numbers and an averaged central limit theorem for the walk via a regeneration construction under suitable coarse-graining.
Such random walks occur naturally as spatial embeddings of…

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