Lecture notes on ergodic transformations

Autor:	Ryzhikov, Valery V.
Rok vydání:	2024
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	Content of the lectures is the following. Properties of transformations equivalent to ergodicity. Birkhoff's Theorem. Properties equivalent to weak mixing. On typical properties of transformations. Lego to construct transformations. Typical entropy invariants. Poisson suspensions with completely positive P-entropy. Spectral theorem for unitary operators. Compact factors, Kronecker algebra. Progression recurrence for weakly mixing transformations. Double recurrence for ergodic transformations. Comment: 33 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.20180 Zobrazit plný text záznamu View this record from Arxiv