### 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) |
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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 | |

State | Published - Jan 1 2017 |

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

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## 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