Feigenbaum universality and the thermodynamic formalism

E. B. Vul; Ya G. Sinai; K. M. Khanin

doi:10.1201/9780203734636

Feigenbaum universality and the thermodynamic formalism

E. B. Vul, Ya G. Sinai, K. M. Khanin

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

This article is an exposition of a recent remarkable discovery in the theory of dynamical systems-the so-called Feigenbaum universality. This discovery lies on the boundary of mathematics and physics: the statement of the problem comes, in essence, from mathematics, while the method of approach to its solution is taken from physics and is based on the well known renormalization-group method in theoretical physics, first used in statistical mechanics and quantum field theory.

Original language	English (US)
Title of host publication	Universality in Chaos, Second Edition
Publisher	CRC Press
Pages	491-530
Number of pages	40
ISBN (Electronic)	9781351406048
ISBN (Print)	0852742606, 9780852742600
DOIs	https://doi.org/10.1201/9780203734636
State	Published - Jan 1 2017

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Access to Document

10.1201/9780203734636

Cite this

@inbook{8a71e941186343568563b73194a7dda0,

title = "Feigenbaum universality and the thermodynamic formalism",

abstract = "This article is an exposition of a recent remarkable discovery in the theory of dynamical systems-the so-called Feigenbaum universality. This discovery lies on the boundary of mathematics and physics: the statement of the problem comes, in essence, from mathematics, while the method of approach to its solution is taken from physics and is based on the well known renormalization-group method in theoretical physics, first used in statistical mechanics and quantum field theory.",

author = "Vul, {E. B.} and Sinai, {Ya G.} and Khanin, {K. M.}",

note = "Publisher Copyright: {\textcopyright} 1989 by Taylor & Francis Group, LLC.",

year = "2017",

month = jan,

day = "1",

doi = "10.1201/9780203734636",

language = "English (US)",

isbn = "0852742606",

pages = "491--530",

booktitle = "Universality in Chaos, Second Edition",

publisher = "CRC Press",

}

TY - CHAP

T1 - Feigenbaum universality and the thermodynamic formalism

AU - Vul, E. B.

AU - Sinai, Ya G.

AU - Khanin, K. M.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - This article is an exposition of a recent remarkable discovery in the theory of dynamical systems-the so-called Feigenbaum universality. This discovery lies on the boundary of mathematics and physics: the statement of the problem comes, in essence, from mathematics, while the method of approach to its solution is taken from physics and is based on the well known renormalization-group method in theoretical physics, first used in statistical mechanics and quantum field theory.

AB - This article is an exposition of a recent remarkable discovery in the theory of dynamical systems-the so-called Feigenbaum universality. This discovery lies on the boundary of mathematics and physics: the statement of the problem comes, in essence, from mathematics, while the method of approach to its solution is taken from physics and is based on the well known renormalization-group method in theoretical physics, first used in statistical mechanics and quantum field theory.

UR - http://www.scopus.com/inward/record.url?scp=85054434902&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85054434902&partnerID=8YFLogxK

U2 - 10.1201/9780203734636

DO - 10.1201/9780203734636

M3 - Chapter

AN - SCOPUS:85054434902

SN - 0852742606

SN - 9780852742600

SP - 491

EP - 530

BT - Universality in Chaos, Second Edition

PB - CRC Press

ER -

Feigenbaum universality and the thermodynamic formalism

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this