Localization of the maximal entropy random walk.

  title={Localization of the maximal entropy random walk.},
  author={Z. Burda and J. Duda and J. M. Luck and B. Waclaw},
  journal={Physical review letters},
  volume={102 16},
  • Z. Burda, J. Duda, +1 author B. Waclaw
  • Published 2009
  • Physics, Medicine
  • Physical review letters
  • 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… CONTINUE READING
    120 Citations

    Figures and Topics from this paper.

    Explore Further: Topics Discussed in This Paper

    Large deviations of random walks on random graphs.
    • 4
    • PDF
    From Maximal Entropy Random Walk to quantum thermodynamics
    • 8
    • PDF
    Extended Maximal Entropy Random Walk
    • 3
    Maximal entropy random walk in community detection
    • 21
    • PDF
    Maximal-entropy random walks in complex networks with limited information.
    • 78
    • PDF
    Core-biased random walks in complex networks
    Core-biased random walks in networks
    • 3
    • Highly Influenced
    • PDF
    Maximal entropy random walk improves efficiency of trapping in dendrimers.
    • 10
    • PDF
    The Entropy of Conditional Markov Trajectories
    • 14
    • PDF
    Random walks and diffusion on networks
    • 213
    • PDF