Harnack Inequality for Self-Repelling Diffusions Driven by Subordinated Brownian Motion

In this paper, we consider a self-repelling diffusion driven by the Lévy process. By using the coupling argument, we establish the corresponding Bismut formula and Harnack inequality.

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Publication Details

Journal
Mathematics
Published
2025-04-11
DOI
https://doi.org/10.3390/math13081262
Primary Topic
Stochastic processes and financial applications
Type
article
Field-Weighted Citation Impact
0.00

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article

Harnack Inequality for Self-Repelling Diffusions Driven by Subordinated Brownian Motion

Yaqin Sun, Litan Yan
Mathematics
Stochastic processes and financial applications
article

Harnack Inequality for Self-Repelling Diffusions Driven by Subordinated Brownian Motion

Yaqin Sun, Litan Yan
article en

Abstract

In this paper, we consider a self-repelling diffusion driven by the Lévy process. By using the coupling argument, we establish the corresponding Bismut formula and Harnack inequality.

MathematicsVol. 13(8)
Donghua University (CN)
National Science Foundation, National Natural Science Foundation of China
Openalex Percentile: Top 90%
Stochastic processes and financial applications
DOIOpen Access PDFOpenAlex
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Harnack Inequality for Self-Repelling Diffusions Driven by Subordinated Brownian Motion — Yaqin Sun, Litan Yan · Mathematics (2025) | TGRS Research Map | TGRS