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Article Dans Une Revue Journal of Functional Analysis Année : 2021

On interweaving relations

Résumé

Interweaving relations are introduced and studied here in a general Markovian setting as a strengthening of usual intertwining relations between semigroups, obtained by adding a randomized delay feature. They provide a new classification scheme of the set of Markovian semigroups which enables to transfer from a reference semigroup and up to an independent warm-up time, some ergodic, analytical and mixing properties including the φ-entropy convergence to equilibrium, the hyperboundedness and, when the warm-up time is deterministic, the cut-off phenomena. We also present several useful transformations that preserve interweaving relations. We provide a variety of examples of interweaving relations ranging from classical, discrete, and non-local Laguerre and Jacobi semigroups to degenerate hypoelliptic Ornstein-Uhlenbeck semigroups and some non-colliding particle systems.
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Dates et versions

hal-03159496 , version 1 (07-11-2022)

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Paternité - Pas d'utilisation commerciale

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Laurent Miclo, Pierre Patie. On interweaving relations. Journal of Functional Analysis, 2021, 280 (3), ⟨10.1016/j.jfa.2020.108816⟩. ⟨hal-03159496⟩
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