Wasserstein-Type Distances of Two-Type Continuous-State Branching Processes in Lévy Random Environments

نویسندگان

چکیده

Under natural conditions, we prove exponential ergodicity in the \( L_1\)-Wasserstein distance of two-type continuous-state branching processes Lévy random environments with immigration. Furthermore, express precisely parameters exponent. The coupling method and conditioned property play an important role approach. Using tool superprocesses, total variation is also proved.

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ژورنال

عنوان ژورنال: Journal of Theoretical Probability

سال: 2022

ISSN: ['1572-9230', '0894-9840']

DOI: https://doi.org/10.1007/s10959-022-01211-y