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math.PRMay 3, 2016
4
citations (OpenAlex)
authors
  • Takashi Kumagai
  • Chikara Nakamura
institutions
  • Kyoto University
arXiv abstractPDF
paper

Laws of the Iterated Logarithm for random walks on Random Conductance Models

arXiv:1604.04882

Abstract

We derive laws of the iterated logarithm for random walks on random conductance models under the assumption that the random walks enjoy long time sub-Gaussian heat kernel estimates.

arXiv comment12 pages

References in corpus (9)

  • Quenched invariance principle for simple random walk on percolation clusters
  • Random walks on supercritical percolation clusters
  • Recent progress on the Random Conductance Model
  • Phase transition and level-set percolation for the Gaussian free field
  • On the uniqueness of the infinite cluster of the vacant set of random interlacements
  • Harnack inequalities on weighted graphs and some applications to the random conductance model
  • Law of the Iterated Logarithm for the random walk on the infinite percolation cluster
  • Lamplighter random walks on fractals
  • Rate functions for random walks on Random conuctance Models and related topics

Cited by in corpus (2)

  • Lower Gaussian heat kernel bounds for the Random Conductance Model in a degenerate ergodic environment
  • Rate functions for random walks on Random conuctance Models and related topics
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