Abstract
We prove a law of large numbers and invariance principles for the tagged particle in the asymmetric exclusion process with long jumps when the process starts from its equilibrium measure.
Funding Statement
The project is supported by the Fundamental Research Funds for the Central Universities in China, by Hubei Key Laboratory of Engineering Modeling and Scientific Computing, and by the National Natural Science Foundation of China with grant numbers 11971038 and 12371142.
Citation
Linjie Zhao. "The motion of the tagged particle in the asymmetric exclusion process with long jumps." Bernoulli 30 (3) 2399 - 2422, August 2024. https://doi.org/10.3150/23-BEJ1678
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