Feigenbaum universality and the thermodynamic formalism

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

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish (US)
Title of host publicationUniversality in Chaos, Second Edition
PublisherCRC Press
Pages491-530
Number of pages40
ISBN (Electronic)9781351406048
ISBN (Print)0852742606, 9780852742600
DOIs
StatePublished - Jan 1 2017

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Feigenbaum universality and the thermodynamic formalism'. Together they form a unique fingerprint.

  • Cite this

    Vul, E. B., Sinai, Y. G., & Khanin, K. M. (2017). Feigenbaum universality and the thermodynamic formalism. In Universality in Chaos, Second Edition (pp. 491-530). CRC Press. https://doi.org/10.1201/9780203734636