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2020 Exponential ergodicity for general continuous-state nonlinear branching processes
Pei-Sen Li, Jian Wang
Electron. J. Probab. 25: 1-25 (2020). DOI: 10.1214/20-EJP528

Abstract

By combining the coupling by reflection for Brownian motion with the refined basic coupling for Poisson random measure, we present sufficient conditions for the exponential ergodicity of general continuous-state nonlinear branching processes in both the $L^{1}$-Wasserstein distance and the total variation norm, where the drift term is dissipative only for large distance, and either diffusion noise or jump noise is allowed to be vanished. Sufficient conditions for the corresponding strong ergodicity are also established.

Citation

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Pei-Sen Li. Jian Wang. "Exponential ergodicity for general continuous-state nonlinear branching processes." Electron. J. Probab. 25 1 - 25, 2020. https://doi.org/10.1214/20-EJP528

Information

Received: 13 September 2019; Accepted: 3 October 2020; Published: 2020
First available in Project Euclid: 12 October 2020

MathSciNet: MR4161135
Digital Object Identifier: 10.1214/20-EJP528

Subjects:
Primary: 60G51, 60G52, 60J25, 60J75

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