Work

Heat Kernel estimations for the simple random walk

Year: 2024

Type: article

Abstract: In this paper, we investigate the convergence rate of the heat kernel defined on locally finite graphs in the one-dimensional simple random walk case. The heat kernel represents the transition density and can be estimated by approximating the factorial. Through asymptotic expansions of certain functions and Taylor expansions of some terms, upper and lower bounds of the heat kernel can be derived.

Source: Science and Technology of Engineering Chemistry and Environmental Protection

DOI: 10.61173/nn0ejf73

Author: Xiaoyuan Wang

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4405928273

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