most citedLower estimates of transition densities and bounds on exponential ergodicity for stochastic PDE's

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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.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…