Examples of exponentially many collisions in a hard ball system

DOI10.1017/etds.2020.54zbMath1476.37048arXiv1809.02800OpenAlexW2891415568WikidataQ114119159 ScholiaQ114119159MaRDI QIDQ5005956

Dmitri Burago, Sergei Ivanov

Publication date: 12 August 2021

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.02800

zbMATH Keywords

number of collisionsexamples with many collisionshard ball gas model

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Collision of rigid or pseudo-rigid bodies (70F35) Dynamical systems with singularities (billiards, etc.) (37C83)

Related Items (3)

On pinned billiard balls and foldings ⋮ A lower bound for the number of elastic collisions ⋮ An improved upper bound on the number of billiard ball collisions

Cites Work

• Hard balls gas and Alexandrov spaces of curvature bounded above
• Uniform estimates on the number of collisions in semi-dispersing billiards
• Maximum number of collisions among identical hard spheres
• A lower bound for the number of elastic collisions
• Topological entropy of semi-dispersing billiards
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