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On some ergodicity properties for time inhomogeneous Markov processes with $T$-periodic semigroup
Markov processes diffusion processes inhomogeneity in time periodicity Lyapunov function
2011/2/25
We consider a time inhomogeneous strong Markov process (ξt)t0 taking values in a Polish state space whose semigroup has a T -periodic structure. After reviewing some conditions which imply ergodicity...
On Supercontractivity for Markov Semigroups
Markov semigroup logarithmic Sobolev inequality supercontractivity compact embedding
2007/12/10
In this paper, we study the supercontractivity for Markov semigroups and obtain some sufficient and necessary conditions; especially explicit formulae are obtained for birth-death process and diffusio...