Note on the Heat-Kernel Decay for Random Walk among Random Conductances with Heavy Tail
Omar Boukhadra
TL;DR
This paper investigates the decay properties of heat kernels associated with random walks in environments with heavy-tailed conductances, providing insights into their long-term behavior and decay rates.
Contribution
It offers new theoretical analysis of heat-kernel decay in heavy-tailed random conductance models, extending previous work in the field.
Findings
Derived decay rates for heat kernels in heavy-tailed environments
Established conditions under which decay behavior changes
Provided mathematical bounds for heat-kernel decay
Abstract
Results have been moved to a published article, see arXiv:0812.2669v4[math.PR]
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Taxonomy
TopicsStochastic processes and statistical mechanics · Theoretical and Computational Physics · Markov Chains and Monte Carlo Methods