### Abstract

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 language | English |
---|---|

Journal | Communications in Mathematical Physics |

DOIs | |

Publication status | Published - 1 Jan 2019 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

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**A Lower Bound for the Number of Elastic Collisions.** / Burdzy, Krzysztof; Duarte, Mauricio.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A Lower Bound for the Number of Elastic Collisions

AU - Burdzy, Krzysztof

AU - Duarte, Mauricio

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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 .

AB - 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 .

UR - http://www.scopus.com/inward/record.url?scp=85062780392&partnerID=8YFLogxK

U2 - 10.1007/s00220-019-03399-3

DO - 10.1007/s00220-019-03399-3

M3 - Article

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

ER -