Examples of exponentially many collisions in a hard ball system

Dmitri Burago; Sergei Ivanov

doi:10.1017/etds.2020.54

Examples of exponentially many collisions in a hard ball system

Dmitri Burago, Sergei Ivanov

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Consider the system of n identical hard balls in moving freely and colliding elastically. We show that there exist initial conditions such that the number of collisions is exponential in n.

Original language	English (US)
Pages (from-to)	2754-2769
Number of pages	16
Journal	Ergodic Theory and Dynamical Systems
Volume	41
Issue number	9
DOIs	https://doi.org/10.1017/etds.2020.54
State	Published - Sep 2021

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

Access to Document

10.1017/etds.2020.54

Cite this

@article{7f7db0895fa844aea8df6dd0188e87a9,

title = "Examples of exponentially many collisions in a hard ball system",

abstract = "Consider the system of n identical hard balls in moving freely and colliding elastically. We show that there exist initial conditions such that the number of collisions is exponential in n.",

author = "Dmitri Burago and Sergei Ivanov",

note = "Funding Information: Acknowledgments. The first author was partially supported by NSF grant DMS-1205597. The second author was partially supported by RFBR grant 17-01-00128. Publisher Copyright: {\textcopyright} ",

year = "2021",

month = sep,

doi = "10.1017/etds.2020.54",

language = "English (US)",

volume = "41",

pages = "2754--2769",

journal = "Ergodic Theory and Dynamical Systems",

issn = "0143-3857",

publisher = "Cambridge University Press",

number = "9",

}

TY - JOUR

T1 - Examples of exponentially many collisions in a hard ball system

AU - Burago, Dmitri

AU - Ivanov, Sergei

N1 - Funding Information: Acknowledgments. The first author was partially supported by NSF grant DMS-1205597. The second author was partially supported by RFBR grant 17-01-00128. Publisher Copyright: ©

PY - 2021/9

Y1 - 2021/9

N2 - Consider the system of n identical hard balls in moving freely and colliding elastically. We show that there exist initial conditions such that the number of collisions is exponential in n.

AB - Consider the system of n identical hard balls in moving freely and colliding elastically. We show that there exist initial conditions such that the number of collisions is exponential in n.

UR - http://www.scopus.com/inward/record.url?scp=85112275831&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85112275831&partnerID=8YFLogxK

U2 - 10.1017/etds.2020.54

DO - 10.1017/etds.2020.54

M3 - Article

AN - SCOPUS:85112275831

SN - 0143-3857

VL - 41

SP - 2754

EP - 2769

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

IS - 9

ER -

Examples of exponentially many collisions in a hard ball system

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this