Journal of Statistical Physics

, Volume 62, Issue 1–2, pp 257–267 | Cite as

A note on the Artuso-Aurell-Cvitanovic approach to the Feigenbaum tangent operator

  • Mark Pollicott
Articles

Abstract

In this note we explain the rigorous mathematical arguments underlying some recent work of Artuso, Aurell and Cvitanovic on the Feigenbaum tangent operator. In particular, we attempt to clarify the advantages of introducing zeta functions through the ideas of Ruelle and Grothendieck.

Key words

Feigenbaum conjectures zeta functions transfer operators hyperbolic fixed points 

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Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • Mark Pollicott
    • 1
  1. 1.Centro de Matematica, Faculdade de CienciasPraca Gomes TeixeiraPortoPortugal

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