# Localization of the maximal entropy random walk.

@article{Burda2008LocalizationOT, title={Localization of the maximal entropy random walk.}, author={Zdzislaw Burda and Jarek Duda and J M Luck and Bartlomiej Waclaw}, journal={Physical review letters}, year={2008}, volume={102 16}, pages={ 160602 } }

We define a new class of random walk processes which maximize entropy. This maximal entropy random walk is equivalent to generic random walk if it takes place on a regular lattice, but it is not if the underlying lattice is irregular. In particular, we consider a lattice with weak dilution. We show that the stationary probability of finding a particle performing maximal entropy random walk localizes in the largest nearly spherical region of the lattice which is free of defects. This…

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