11 citations · 40 across the 39 of their papers we have counts for
4 papers · 1 filter
Two Stronger Versions of the Union-closed Sets Conjecture
Zhen Cui, Ze-Chun Hu
The union-closed sets conjecture (Frankl's conjecture) says that for any finite union-closed family of finite sets, other than the family consisting only of the empty set, there ex…
A system of nonlinear equations with application to large deviations for Markov chains with finite lifetime
Ze-Chun Hu, Wei Sun, Jing Zhang
In this paper, we first show the existence of solutions to the following system of nonlinear equations \begin{eqnarray*}\left\{\begin{array}{l} a_{11}x_1+a_{12}x_2+a_{13}x_3+\cdots…
A Note on Uniform Integrability of Random Variables in a Probability Space and Sublinear Expectation Space
Ze-Chun Hu, Qian-Qian Zhou
In this note we discuss uniform integrability of random variables. In a probability space, we introduce two new notions on uniform integrability of random variables, and prove that…
Hunt's Hypothesis (H) for the Sum of Two Independent Levy Processes
Ze-Chun Hu, Wei Sun
Which Levy processes satisfy Hunt's hypothesis (H) is a long-standing open problem in probabilistic potential theory. The study of this problem for one-dimensional Levy processes s…