Search results for: MARKOV OPERATORS, SEMIGROUPS OF INTERVAL HOMEOMORPHISMS,ABSOLUTE CONTINUITY, SINGULARITY, MINIMAL ACTIONS.

• Generalized Dobrushin Coefficients on Banach Spaces

  Publication

  • W. Bartoszek
  • M. Beśka
  • W. Florek

  - Bulletin of the Iranian Mathematical Society - Year 2022

  The asymptotic behavior of iterates of bounded linear operators (not necessarily positive), acting on Banach spaces, is studied. Through the Dobrushin ergodicity coefficient, we generalize some ergodic theorems obtained earlier for classical Markov semigroups acting on L1 (or positive operators on abstract state spaces).

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• Generic invariant measures for iterated systems of interval homeomorphisms

  Publication

  • W. Czernous
  • T. Szarek

  - ARCHIV DER MATHEMATIK - Year 2020

  It is well known that iterated function systems generated by orientation preserving homeomorphisms of the unit interval with positive Lyapunov exponents at its ends admit a unique invariant measure on (0, 1) provided their action is minimal. With the additional requirement of continuous differentiability of maps on a fixed neighbourhood of {0,1} { 0 , 1 } , we present a metric in the space of such systems which renders it complete....

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