Positive dilations of piecewise monotonic Markov maps

Research output: Contribution to journalArticlepeer-review


We provide an explicit formula which gives natural extensions of piecewise monotonic Markov maps defined on an interval of the real line. These maps are exact endomorphisms and define chaotic discrete dynamical systems.
Original languageEnglish
Pages (from-to)261-269
Number of pages9
JournalInfinite Dimensional Analysis Quantum Probability and Related Topics
Issue number2
Publication statusPublished - Jun 2004

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics
  • Mathematical Physics
  • Statistics and Probability
  • Statistical and Nonlinear Physics


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