Fabrice Baudoin

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math.PR2024

Dimension-independent functional inequalities by tensorization and projection arguments

Fabrice Baudoin, Maria Gordina, Rohan Sarkar

We study stability under tensorization and projection-type operations of gradient-type estimates and other functional inequalities for Markov semigroups on metric spaces. Using tra…

math.PR2024

Fractional stable random fields on the SierpiÅski gasket

We define and study fractional stable random fields on the SierpiÅski gasket. Such fields are formally defined as $(- I^)^{- s} W_{K, I^\pm}$ , where $I^$ is the Laplace operator on the…

Dimension-independent functional inequalities by tensorization and projection arguments

Fractional stable random fields on the SierpiÅski gasket

Fractional stable random fields on the SierpiÅski gasket