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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Generic properties of processes

Benjamin Weiss
Hebrew University of Jerusalem
https://mathematics.huji.ac.il/people/benjamin-weiss

Date(s) : 25/02/2025   iCal
11h00 - 12h00

For a fixed ergodic measure preserving transformation T of a standard measure space [(X, \mathcal{B}, μ)] each finite labelled partition defines an ergodic stationary process. There is a complete metric on the space of partitions which is separable. Various generic properties of these processes will be given. For example:
1. The generic partition defines a process that is not Rosenblatt mixing.
2. If T is a K-automorphism that is not Bernoulli then the generic partition is also K but not Bernoulli.

Emplacement
I2M Luminy - TPR2, Salle de Séminaire 304-306 (3ème étage)

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