9 citations · 16 across the 3 of their papers we have counts for
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math.AP2011★ 4 cited
Exponential ergodicity and regularity for equations with Lévy noise
E. Priola, A. Shirikyan, L. Xu +1
We prove exponential convergence to the invariant measure, in the total variation norm, for solutions of SDEs driven by -stable noises in finite and in infinite dimensions. Two…
math.AP2010★ 11 cited
Exponential mixing for some SPDEs with Lévy noise
Enrico Priola, Jerzy Zabczyk, Lihu Xu
We show how gradient estimates for transition semigroups can be used to establish exponential mixing for a class of Markov processes in infinite dimensions. We concentrate on semil…
math.AP2009★ 9 cited
On linear evolution equations with cylindrical Lévy noise
Enrico Priola, Jerzy Zabczyk
We study an infinite-dimensional Ornstein-Uhlenbeck process in a given Hilbert space . This is driven by a cylindrical symmetric Lévy process without a Gaussian componen…