Lingyan Cheng

most citedExponential convergence in the Wasserstein metric

W_{1}

for one dimensional diffusions

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.PR2019

Ricci curvature and $W_{1}$ -exponential convergence of Markov processes on graphs

Lingyan Cheng, Ruinan Li, Liming Wu

In this paper, we show that the Ricci curvature lower bound in Ollivier's Wasserstein metric sense of a continuous time jumping Markov process on a graph can be characterized by so…

math.PR2017★ 2 cited

Exponential convergence in the Wasserstein metric $W_{1}$ for one dimensional diffusions

Lingyan Cheng, Ruinan Li, Liming Wu

In this paper, we find some general and efficient sufficient conditions for the exponential convergence $W_{1, d} (P_{t} (x, \cdot), P_{t} (y, \cdot)) \leq K e^{- δ t} d (x, y)$ for the semigroup $…

math.PR2017

Centered Sobolev inequality and exponential convergence in $Φ$ -entropy

Lingyan Cheng, Liming Wu

In this short paper we find that the Sobolev inequality $\frac{1}{p - 2} [(\int f^{p} d μ)^{2/ p} - \int f^{2} d μ] \leq C \int ∣\nabla f ∣^{2} d μ$ ( $p \geq 0$ ) is equival…

Ricci curvature and W1​-exponential convergence of Markov processes on graphs

Exponential convergence in the Wasserstein metric W1​ for one dimensional diffusions

Centered Sobolev inequality and exponential convergence in Φ-entropy

Ricci curvature and $W_{1}$ -exponential convergence of Markov processes on graphs

Exponential convergence in the Wasserstein metric $W_{1}$ for one dimensional diffusions

Centered Sobolev inequality and exponential convergence in $Φ$ -entropy