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Impact of symmetry on ergodic properties of triangular billiards
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Zahradova, Katerina, Slipantschuk, Julia, Bandtlow, Oscar F. and Just, Wolfram (2022) Impact of symmetry on ergodic properties of triangular billiards. Physical Review E, 105 (1). L012201. doi:10.1103/PhysRevE.105.L012201 ISSN 1539-3755.
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Official URL: http://dx.doi.org/10.1103/PhysRevE.105.L012201
Abstract
Polygonal billiards constitute some of the simplest yet counterintuitive dynamical systems in physics. Even basic features of the dynamics, such as ergodicity of the microcanonical distribution or the decay of correlations have not been settled in general. In this Letter, we will highlight the importance of symmetries of the billiard table for the resulting dynamics. Although typical triangular billiards appear to show correlation decay, symmetric billiards may not even be ergodic with respect to the uniform distribution in phase space.
| Item Type: | Journal Article | ||||||
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| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Ergodic theory, Triangle, Symmetry (Mathematics), Dynamics | ||||||
| Journal or Publication Title: | Physical Review E | ||||||
| Publisher: | American Physical Society | ||||||
| ISSN: | 1539-3755 | ||||||
| Official Date: | 18 January 2022 | ||||||
| Dates: |
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| Volume: | 105 | ||||||
| Number: | 1 | ||||||
| Article Number: | L012201 | ||||||
| DOI: | 10.1103/PhysRevE.105.L012201 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Copyright Holders: | ©2022 American Physical Society | ||||||
| Description: | Letter |
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| Date of first compliant deposit: | 23 February 2022 | ||||||
| Date of first compliant Open Access: | 24 February 2022 | ||||||
| RIOXX Funder/Project Grant: |
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