35 citations · 161 across the 26 of their papers we have counts for
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math.NA2011★ 4 cited
On the concentration properties of Interacting particle processes
Pierre Del Moral, Peng Hu, Liming Wu
These lecture notes present some new concentration inequalities for Feynman-Kac particle processes. We analyze different types of stochastic particle models, including particle pro…
math.PR2011★ 3 cited
Moderate Deviation Principle for dynamical systems with small random perturbation
Yutao ma, Ran Wang, Liming Wu
Consider the stochastic differential equation in $\rr^d$ dX^{\e}_t&=b(X^{\e}_t)dt+\sqrt{\e}σ(X^\e_t)dB_t X^{\e}_0&=x_0,\quad x_0\in\rr^db:\rr^d\to\rr^dC^1$ such that…
math.ST2011★ 6 cited
Transportation inequalities: From Poisson to Gibbs measures
Yutao Ma, Shi Shen, Xinyu Wang +1
We establish an optimal transportation inequality for the Poisson measure on the configuration space. Furthermore, under the Dobrushin uniqueness condition, we obtain a sharp trans…