Heat kernel estimates for random walks with degenerate weights

@article{Andres2014HeatKE,
  title={Heat kernel estimates for random walks with degenerate weights},
  author={Sebastian Andres and Jean-Dominique Deuschel and Martin Slowik},
  journal={Electronic Journal of Probability},
  year={2014},
  volume={21}
}
We establish Gaussian-type upper bounds on the heat kernel for a continuous-time random walk on a graph with unbounded weights under an ergodicity assumption. For the proof we use Davies' perturbation method, where we show a maximal inequality for the perturbed heat kernel via Moser iteration. 

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