52 citations · 247 across the 19 of their papers we have counts for
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math.PR2017
Heat kernel estimates and intrinsic metric for random walks with general speed measure under degenerate conductances
Sebastian Andres, Jean-Dominique Deuschel, Martin Slowik
We establish heat kernel upper bounds for a continuous-time random walk under unbounded conductances satisfying an integrability assumption, where we correct and extend recent resu…
math.PR2017★ 4 cited
Poincaré and logarithmic Sobolev constants for metastable Markov chains via capacitary inequalities
André Schlichting, Martin Slowik
We investigate the metastable behavior of reversible Markov chains on possibly countable infinite state spaces. Based on a new definition of metastable Markov processes, we compute…
math.PR2017
Homogenization theory for the random conductance model with degenerate ergodic weights and unbounded-range jumps
Franziska Flegel, Martin Heida, Martin Slowik
We study homogenization properties of the discrete Laplace operator with random conductances on a large domain in . More precisely, we prove almost-sure homogenizatio…