51 citations · 428 across the 69 of their papers we have counts for
71 papers
Rényi--Sobolev Inequalities and Connections to Spectral Graph Theory
Lei Yu, Hao Wu
In this paper, we generalize the log-Sobolev inequalities to Rényi--Sobolev inequalities by replacing the entropy with the two-parameter entropy, which is a generalized version of…
Regularity of the equilibrium measure for meromorphic correspondences
Tien-Cuong Dinh, Hao Wu
Let be a meromorphic correspondence on a compact Kähler manifold of dimension . Assume that its topological degree is larger than the dynamical degree of order . We…
Berry-Esseen bound and Local Limit Theorem for the coefficients of products of random matrices
Tien-Cuong Dinh, Lucas Kaufmann, Hao Wu
Let be a probability measure on and denote by the associated random matrix product, where are i.i.d. with law . Under…
A level line of the Gaussian free field with measure-valued boundary conditions
Titus Lupu, Hao Wu
In this article, we construct samples of SLE-like curves out of samples of CLE and Poisson point process of Brownian excursions. We show that the law of these curves depends contin…
Random walks on SL_2(C): spectral gap and limit theorems
Tien-Cuong Dinh, Lucas Kaufmann, Hao Wu
We obtain various new limit theorems for random walks on SL_2(C) under low moment conditions. For non-elementary measures with a finite second moment, we prove a Local Limit Theore…
Stability of hybrid pantograph stochastic functional differential equations
Hao Wu, Junhao Hu, Chenggui Yuan
In this paper, we study a new type of stochastic functional differential equations which is called hybrid pantograph stochastic functional differential equations. We investigate se…