3 citations · 5 across the 8 of their papers we have counts for
8 papers
Asymptotic limit of the principal eigenvalue of asymmetric nonlocal diffusion operators and propagation dynamics
Yihong Du, Xiangdong Fang, Wenjie Ni
For fixed , and a general non-symmetric kernel function satisfying a standard assumption, we consider the nonlocal diffusion operator \begin{align*} \bf…
Tightness of Bernoulli Gibbsian line ensembles
Evgeni Dimitrov, Xiang Fang, Lukas Fesser +4
A Bernoulli Gibbsian line ensemble is the law of the trajectories of independent Bernoulli random walkers with possib…
A Gaussian version of Littlewood's theorem on random power series
Guozheng Cheng, Xiang Fang, Kunyu Guo +1
We prove a Littlewood-type theorem on random analytic functions for not necessarily independent Gaussian processes. We show that if we randomize a function in the Hardy space $H^2(…
Random weighted shifts
Guozheng Cheng, Xiang Fang, Sen Zhu
In this paper we initiate the study of a fundamental yet untapped random model of non-selfadjoint, bounded linear operators acting on a separable complex Hilbert space. We replace…
Three Remarks on Carleson Measures for Dirichlet Space
Guozheng Cheng, Xiang Fang, Zipeng Wang +1
In this paper, we prove that all doubling measures on the unit disk are Carleson measures for the standard Dirichlet space . The proof has three ingredien…
Composition Operators with Quasiconformal Symbols
Xiang Fang, Kunyu Guo, Zipeng Wang
This paper seeks to extend the theory of composition operators on analytic functional Hilbert spaces from analytic symbols to quasiconformal ones. The focus is the boundedness but…