2 citations · 3 across the 6 of their papers we have counts for
8 papers · 1 filter
Symmetry and functional inequalities for stable Lévy-type operators
Lu-Jing Huang, Tao Wang
In this paper, we provide the sufficient and necessary conditions for the symmetry of the following stable Lévy-type operator on : $$\mathcal{L}=a(x){Δ^{α…
Uniqueness of the critical long-range percolation metrics
Jian Ding, Zherui Fan, Lu-Jing Huang
In this work, we study the random metric for the critical long-range percolation on . A recent work by Bäumler [3] implies the subsequential scaling limit, and our ma…
Strict Kantorovich contractions for Markov chains and Euler schemes with general noise
Lu-Jing Huang, Mateusz B. Majka, Jian Wang
We study contractions of Markov chains on general metric spaces with respect to some carefully designed distance-like functions, which are comparable to the total variation and the…
Variational principles for asymptotic variance of general Markov processes
Lu-Jing Huang, Yong-Hua Mao, Tao Wang
A variational formula for the asymptotic variance of general Markov processes is obtained. As application, we get a upper bound of the mean exit time of reversible Markov processes…
Variational Formulas of Asymptotic Variance for General Discrete-time Markov Chains
Lu-Jing Huang, Yong-Hua Mao
The asymptotic variance is an important criterion to evaluate the performance of Markov chains, especially for the central limit theorems. We give the variational formulas for the…
Approximation of heavy-tailed distributions via stable-driven SDEs
Lu-Jing Huang, Mateusz B. Majka, Jian Wang
Constructions of numerous approximate sampling algorithms are based on the well-known fact that certain Gibbs measures are stationary distributions of ergodic stochastic differenti…