Laboratoire de Mathématiques de Besançon - UMR 6623 CNRS
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12 mars 2019: 1 événement

  • Séminaire d’Analyse Fonctionnelle

    Mardi 12 mars 13:45-15:00 - Uwe Franz - LMB

    Monotone Increment Processes, Classical Markov Processes and Loewner Chains

    Résumé : We prove a one-to-one correspondence between certain decreasing Loewner chains in the upper half-plane, a special class of real-valued Markov processes, and quantum stochastic processes with monotonically independent additive increments. This leads us to a detailed investigation of probability measures on the real line with univalent Cauchy transform. We discuss several subclasses of such measures and obtain characterizations in terms of analytic and geometric properties of the corresponding Cauchy transforms. Joint work with Takahiro Hasebe and Sebastian Schleissinger.

    En savoir plus : Séminaire d’Analyse Fonctionnelle