Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.12202/9558
Title: | Infinite measure mixing for some mechanical systems |
Authors: | Dolgopyat, Dmitry Nándori, Péter 0000-0001-8238-6653 |
Keywords: | Infinite ergodic theory Mixing Mechanical systems Hyperbolic billiards |
Issue Date: | 2022 |
Publisher: | Elsevier |
Citation: | Dolgopyat, D., & Nándori, P. (2022). Infinite measure mixing for some mechanical systems. Advances in Mathematics, 410, Part B, 1-56. https://doi.org/10.1016/j.aim.2022.108757 |
Series/Report no.: | Advances in Mathematics;410, Part B |
Abstract: | We show that if an infinite measure preserving system is well approximated on most of the phase space by a system satisfying the local limit theorem, then the original system enjoys mixing with respect to global observables, that is, the observables which admit an infinite volume average. The systems satisfying our conditions include the Lorentz gas with Coulomb potential, the Galton board, and piecewise smooth Fermi-Ulam pingpongs. |
Description: | Scholarly article / Open access (arXiv PDF) |
URI: | https://hdl.handle.net/20.500.12202/9558 |
ISSN: | 0001-8708 (print) 1090-2082 (online) |
Appears in Collections: | Stern College for Women -- Faculty Publications |
Files in This Item:
File | Description | Size | Format | |
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Nandori Dolgopyat 2022 OA Infinite measure 1812.01174.pdf | 557.92 kB | Adobe PDF | View/Open |
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