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math.PR2024
On ergodic properties of stochastic PDEs
Le Chen, Cheng Ouyang, Samy Tindel +1
In this note we review several situations in which stochastic PDEs exhibit ergodic properties. We begin with the basic dissipative conditions, as stated by Da Prato and Zabczyk in…
math.PR2024
Parabolic Anderson model in bounded domains of recurrent metric measure spaces
Fabrice Baudoin, Li Chen, Che-Hung Huang +3
A metric measure space equipped with a Dirichlet form is called recurrent if its Hausdorff dimension is less than its walk dimension. In bounded domains of such spaces we study the…