2 citations · 6 across the 15 of their papers we have counts for
5 papers · 1 filter
The average genus for bouquets of circles and dipoles
Jinlian Zhang, Xuhui Peng, Yichao Chen
The bouquet of circles and dipole graph are two important classes of graphs in topological graph theory. For , we give an explicit formula for the average genu…
Limits for embedding distributions
Jinlian Zhang, Xuhui Peng, Yichao Chen
In this paper, we find and prove that, under some conditions, the embedding distributions of -linear graph families with spiders are asymptotic normal distributions. It can been…
Well-posedness and large deviations for 2-D Stochastic Navier-Stokes equations with jumps
Zdzislaw Brzezniak, Xuhui Peng, Jianliang Zhai
The aim of this paper is threefold. Firstly, we prove the existence and the uniqueness of a global strong (in both the probabilistic and the PDE senses) -valued s…
Euler-genus distributions of cubic Halin graphs
Jinlian Zhang, Xuhui Peng
Gross derived an -time algorithm to calculate the genus distribution of a given cubic Halin graph. In this paper, with the help of overlap matrix, we get a recurrence relat…
Hörmander's hypoelliptic theorem for nonlocal operators
Zimo Hao, Xuhui Peng, Xicheng Zhang
In this paper we show the Hörmander hypoelliptic theorem for nonlocal operators by a purely probabilistic method: the Malliavin calculus. Roughly speaking, under general Hörmander'…