Equivariant discretizations of diffusions, random walks, and harmonic functions: Corrections and additions

The Martin boundary of a diffusion process on a manifold consists of positive harmonic functions. In a previous publication, we erroneously assumed that the same holds for discretizations of diffusions. In this article, we correct this mistake and extend some of our previous results.

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Publication Details

Journal
L’Enseignement Mathématique
Published
2025-02-12
DOI
https://doi.org/10.4171/lem/1091
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
Field-Weighted Citation Impact
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article

Equivariant discretizations of diffusions, random walks, and harmonic functions: Corrections and additions

Panagiotis Polymerakis, Werner Ballmann
L’Enseignement Mathématique
Advanced Mathematical Modeling in Engineering
article

Equivariant discretizations of diffusions, random walks, and harmonic functions: Corrections and additions

Panagiotis Polymerakis, Werner Ballmann
article en

Abstract

The Martin boundary of a diffusion process on a manifold consists of positive harmonic functions. In a previous publication, we erroneously assumed that the same holds for discretizations of diffusions. In this article, we correct this mistake and extend some of our previous results.

L’Enseignement MathématiqueVol. 72(1)
University of Thessaly (GR), Max Planck Institute for Mathematics (DE)
Openalex Percentile: Top 97%
Advanced Mathematical Modeling in Engineering
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