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Communication Dans Un Congrès Année : 2016

Continued fractions: natural extensions and invariant measures

Pierre Arnoux
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Résumé

We give a heuristic technique to find a model for the natural extension of a piecewise homographic, or more generally projective, map on a domain of R or Rd. In case of success, this gives explicit formula for an invariant density.
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Dates et versions

hal-01486173 , version 1 (09-03-2017)

Identifiants

  • HAL Id : hal-01486173 , version 1

Citer

Pierre Arnoux. Continued fractions: natural extensions and invariant measures. Natural extension of arithmetic algorithms and S-adic system, RIMS, Research Institute of Mathematical Science, Kyoto University, Jul 2015, Kyoto, Japan. pp.19-32. ⟨hal-01486173⟩
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