Work

Simplicial branching random walks and their applications

Year: 2014

Type: preprint

Abstract: We define a new stochastic process on general simplicial complexes which allows to study their spectral and homological properties. Some results for random walks on graphs are shown to hold in this general setting. As an application, the process is used to calculate the spectral measure of high-dimensional analogues of regular trees and to construct solutions to the high-dimensional Dirichlet problem for forms.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1412.5406

Author: Rosenthal, Ron

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2254841113

Cites: 8

Cited by: 3

Related to: 10