Trous spectraux pour certains algorithmes de Metropolis sur
Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry.
We introduce and study a notion of Orlicz hypercontractive semigroups. We analyze their relations with general F-Sobolev inequalities, thus extending Gross hypercontractivity theory. We provide criteria for these Sobolev type inequalities and for related properties. In particular, we implement in the context of probability measures the ideas of Maz'ja's capacity theory, and present equivalent forms relating the capacity of sets to their measure. Orlicz hypercontractivity efficiently describes the...
Isoperimetry between exponential and Gaussian.
Diffusive long-time behavior of Kawasaki dynamics.
Functional inequalities for heavy tailed distributions and application to isoperimetry.
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