Heat kernel estimates and intrinsic metric for random walks with general speed measure under degenerate conductances

DOI10.1214/18-ECP207zbMath1410.82020arXiv1711.11119MaRDI QIDQ1725499

Martin Slowik, Sebastian Andres, Jean-Dominique Deuschel

Publication date: 14 February 2019

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.11119

zbMATH Keywords

heat kernelrandom walkintrinsic metric

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Processes in random environments (60K37) Discrete version of topics in analysis (39A12) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Transition functions, generators and resolvents (60J35) Heat kernel (35K08)

Related Items (11)

Local limit theorems for the random conductance model and applications to the Ginzburg-Landau \(\nabla \phi\) interface model ⋮ Quenched local limit theorem for random walks among time-dependent ergodic degenerate weights ⋮ Off-diagonal heat kernel estimates for symmetric diffusions in a degenerate ergodic environment ⋮ Heat kernels, stochastic processes and functional inequalities. Abstracts from the workshop held October 30 -- November 5, 2022 ⋮ Green kernel asymptotics for two-dimensional random walks under random conductances ⋮ Berry-Esseen theorem and quantitative homogenization for the random conductance model with degenerate conductances ⋮ Quantitative homogenization of the parabolic and elliptic Green's functions on percolation clusters ⋮ Quenched invariance principle for a class of random conductance models with long-range jumps ⋮ Lower Gaussian heat kernel bounds for the random conductance model in a degenerate ergodic environment ⋮ Disconnection and entropic repulsion for the harmonic crystal with random conductances ⋮ Quenched tail estimate for the random walk in random scenery and in random layered conductance. II.

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