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math.PR2023
Limit theorems for additive functionals of some self-similar Gaussian processes
Minhao Hong, Heguang Liu, Fangjun Xu
Under certain mild conditions, limit theorems for additive functionals of some -dimensional self-similar Gaussian processes are obtained. These limit theorems work for general G…
math.PR2012
Regularity of harmonic functions for some Markov chains with unbounded range
Fangjun Xu
We consider a class of continuous time Markov chains on . These chains are the discrete space analogue of Markov processes with jumps. Under some conditions, we show that har…