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Computing \(S(\alpha)\) using symbolic Monte Carlo

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Publication:687824
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DOI10.1016/0167-2789(92)90251-HzbMath0779.58024MaRDI QIDQ687824

Juan-Miguel Gracia

Publication date: 23 January 1994

Published in: Physica D (Search for Journal in Brave)


zbMATH Keywords

entropyMonte Carlo methodsymbolic dynamicsquadratic mapFeigenbaum map


Mathematics Subject Classification ID

Monte Carlo methods (65C05) Ergodic theory (37A99) Low-dimensional dynamical systems (37E99)


Related Items

A review of Markov chain Monte Carlo and information theory tools for inverse problems in subsurface flow



Cites Work

  • Unnamed Item
  • The thermodynamic formalism for expanding maps
  • The entropy function for characteristic exponents
  • Quantitative universality for a class of nonlinear transformations
  • The singularity spectrumf(α) for cookie-cutters
  • A computer-assisted proof of the Feigenbaum conjectures
  • Topological Entropy for Noncompact Sets


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