Localization of the maximal entropy random walk.

  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},
  volume={102 16},
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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