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4 papers · 2 filters
Some explorations on two conjectures about Rademacher sequences
Ze-Chun Hu, Guolie Lan, Wei Sun
In this paper, we explore two conjectures about Rademacher sequences. Let be a Rademacher sequence, i.e., a sequence of independent -valued symmetric random varia…
Periodic solutions of stochastic differential equations driven by Levy noises
Xiao-Xia Guo, Wei Sun
In this paper, we first show the well-posedness of the SDEs driven by Lévy noises under mild conditions. Then, we consider the existence and uniqueness of periodic solutions of the…
Two Theorems on Hunt's Hypothesis (H) for Markov Processes
Ze-Chun Hu, Wei Sun, Li-Fei Wang
Hunt's hypothesis (H) and the related Getoor's conjecture is one of the most important problems in the basic theory of Markov processes. In this paper, we investigate the invarianc…
Products of Conditional Expectation Operators: Convergence and Divergence
Guolie Lan, Ze-Chun Hu, Wei Sun
In this paper, we investigate the convergence of products of conditional expectation operators. We show that if is a probability space that is not purely atomic, th…