Beijing Normal University

output

20022009

most citedImproving the security of multiparty quantum secret sharing against Trojan horse attack

580 citations

Showing 2007 · math.PRShow all

5 papers · 2 filters

math.PR2007

Intrinsic Ultracontractivity on Riemannian Manifolds with Infinite Volume Measures

Feng-Yu Wang

By establishing the intrinsic super-Poincaré inequality, some explicit conditions are presented for diffusion semigroups on a non-compact complete Riemannian manifold to be intrins…

math.PR2007

Transportation Cost Inequality on Path Spaces with Uniform Distance

Shizan Fang, Feng-Yu Wang, Bo Wu

Starting from a sequence of independent Wright-Fisher diffusion processes on $[0, 1]$ , we construct a class of reversible infinite dimensional diffusion processes on $\DD_\infty:= \…

math.PR2007★ 14 cited

Log-Sobolev inequalities: Different roles of Ric and Hess

Feng-Yu Wang

Let $P_{t}$ be the diffusion semigroup generated by $L := Δ + \nabla V$ on a complete connected Riemannian manifold with $Ric \geq - (σ^{2} ρ_{o}^{2} + c)$ for some constants $σ, c > 0$ …

math.PR2007★ 124 cited

Harnack inequality and applications for stochastic generalized porous media equations

Feng-Yu Wang

By using coupling and Girsanov transformations, the dimension-free Harnack inequality and the strong Feller property are proved for transition semigroups of solutions to a class of…

math.PR2007

A quenched CLT for super-Brownian motion with random immigration

Wenming Hong, Ofer Zeitouni

A quenched central limit theorem is derived for the super-Brownian motion with super-Brownian immigration, in dimension $d \geq 4$ . At the critical dimension $d = 4$ , the quenched and…