Twisted cohomological equations for translation flows

DOI10.1017/etds.2021.120zbMath1503.37056arXiv2007.04084OpenAlexW3209176595WikidataQ114119005 ScholiaQ114119005MaRDI QIDQ5027308

Giovanni Forni

Publication date: 4 February 2022

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.04084

zbMATH Keywords

flowsSobolev estimatestranslation surfacestwisted cohomological equationstwisted invariant distributions

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Flows on surfaces (37E35) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20) Relations between ergodic theory and harmonic analysis (37A46)

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