Exactness, K-property and infinite mixing

Abstract

We explore the consequences of exactness or K-mixing on the notions of mixing (a.k.a. infinite-volume mixing) recently devised by the author for infinite-measure-preserving dynamical systems.

Corrected reference to published version and fixed some typos, 15 pages

References in corpus (3)

• Operator renewal theory and mixing rates for dynamical systems with infinite measure
• Rational weak mixing in infinite measure spaces
• Mixing rate for semi-dispersing billiards with non-compact cusps

Cited by in corpus (5)

• Infinite mixing for one-dimensional maps with an indifferent fixed point
• Pointwise convergence of Birkhoff averages for global observables
• Pomeau-Manneville maps are global-local mixing
• Global-local mixing for the Boole map
• A simple proof of the exactness of expanding maps of the interval with an indifferent fixed point