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5 papers · 2 filters
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…
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 , we construct a class of reversible infinite dimensional diffusion processes on $\DD_\infty:= \…
Log-Sobolev inequalities: Different roles of Ric and Hess
Feng-Yu Wang
Let be the diffusion semigroup generated by on a complete connected Riemannian manifold with for some constants …
Diffusion approximation for equilibrium Kawasaki dynamics in continuum
Y. G. Kondratiev, O. V. Kutoviy, E. W. Lytvynov
A Kawasaki dynamics in continuum is a dynamics of an infinite system of interacting particles in which randomly hop over the space. In this paper, we deal with an equ…
Non-equilibrium stochastic dynamics in continuum: The free case
Y. Kondratiev, E. Lytvynov, M. Röckner
We study the problem of identification of a proper state-space for the stochastic dynamics of free particles in continuum, with their possible birth and death. In this dynamics, th…