Work

Ergodicity of stochastic functional differential equation with jumps and finite delay

Year: 2026

Type: preprint

Abstract: This paper investigates the ergodicity of stochastic functional differential equations with jumps under the Wasserstein distance by the generalized coupling method. Two key conditions are verified. The first is verified by establishing an exponential decay bound for the coupled segment processes and applying the Girsanov theorem for Itô-Lévy processes. The second is verified through a support theorem developed for an auxiliary process and then extended to the underlying process. Combining these results yields the desired ergodicity.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2605.04684

Authors: Ye, Mingkun, Zhai, Yafei, Zhang, Zuozheng

Institutions: Sun Yat-sen University, Beijing Institute of Technology, Wuhan University

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7160489807

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