Lingyan Cheng

activity

20162019

most citedModerate deviations for the Langevin equation with strong damping

8 citations · 11 across the 5 of their papers we have counts for

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Showing 2017 · math.PRShow all

3 papers · 2 filters

math.PR2017★ 8 cited

Moderate deviations for the Langevin equation with strong damping

Lingyan Cheng, Ruinan Li, Wei Liu

In this paper, we establish a moderate deviations principle for the Langevin dynamics with strong damping. The weak convergence approach plays an important role in the proof.

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…

Moderate deviations for the Langevin equation with strong damping

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

Centered Sobolev inequality and exponential convergence in Φ-entropy

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

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