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Failure of the \(L^1\) pointwise ergodic theorem for \(\text{PSL}_2(\mathbb{R})\)

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Publication:776198
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DOI10.1007/s10711-019-00487-5zbMath1446.37005arXiv1901.01299OpenAlexW3006280876MaRDI QIDQ776198

D. Kharzeev

Publication date: 30 June 2020

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.01299


zbMATH Keywords

hyperbolic geometrymaximal inequalitypointwise ergodic theorem


Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) General groups of measure-preserving transformations and dynamical systems (37A15) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10)




Cites Work

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  • Pointwise ergodic theorems for radial averages on simple Lie groups. II
  • A generalization of Birkhoff's pointwise ergodic theorem
  • Pointwise ergodic theorems for radial averages on simple Lie groups. I
  • Analogs of Wiener's ergodic theorems for semisimple groups. I
  • Analogs of Wiener's ergodic theorems for semisimple Lie groups. II
  • Pointwise theorems for amenable groups.
  • FAILURE OF THE POINTWISE AND MAXIMAL ERGODIC THEOREMS FOR THE FREE GROUP
  • Harmonic Analysis and Pointwise Ergodic Theorems for Noncommuting Transformations
  • Geometry and spectra of compact Riemann surfaces
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