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math.PR2004★ 34 cited
Lower estimates of transition densities and bounds on exponential ergodicity for stochastic PDE's
B. Goldys, B. Maslowski
A formula for the transition density of a Markov process defined by an infinite-dimensional stochastic equation is given in terms of the Ornstein--Uhlenbeck bridge and a useful low…
math.PR2002
Symmetric Ornstein-Uhlenbeck Semigroups and their Generators
A. Chojnowska-Michalik, B. Goldys
We provide necessary and sufficient conditions for a Hilbert space-valued Ornstein-Uhlenbeck process to be reversible with respect to its invariant measure . For a reversible pr…
math.PR2001
Uniform exponential ergodicity of stochastic dissipative systems
Beniamin Goldys, Bohdan Maslowski
We study ergodic properties of stochastic dissipative systems with additive noise. We show that the system is uniformly exponentially ergodic provided the growth of nonlinearity at…