A Lower Bound for the Number of Elastic Collisions

Krzysztof Burdzy, Mauricio Duarte

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


We prove by example that the number of elastic collisions of n balls of equal mass and equal size in d-dimensional space can be greater than n 3 /27 for n≥ 3 and d≥ 2. The previously known lower bound was of order n 2 .

Original languageEnglish
Pages (from-to)679-711
Number of pages33
JournalCommunications in Mathematical Physics
Issue number2
Publication statusPublished - 1 Jan 2019

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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