A Livšic type theorem for germs of analytic diffeomorphisms

DOI10.1088/0951-7715/26/1/297zbMath1271.37002arXiv1110.1911OpenAlexW2964162914MaRDI QIDQ4920062

Andrés Navas, Mario Ponce

Publication date: 16 May 2013

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1911

zbMATH Keywords

cohomological equationLivšic theoremgroup of germs of analytic diffeomorphismsthe Faa di Bruno type formula

Mathematics Subject Classification ID

Power series, series of functions of several complex variables (32A05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) General theory of random and stochastic dynamical systems (37H05) Dynamical systems with hyperbolic behavior (37D99)

Related Items (6)

Livšic theorem for low-dimensional diffeomorphism cocycles ⋮ Relating boundary and interior solutions of the cohomological equation for cocycles by isometries of negatively curved spaces. The Lǐsic case* ⋮ Livšic theorems for Banach cocycles: existence and regularity ⋮ Degenerate behavior in non-hyperbolic semigroup actions on the interval: fast growth of periodic points and universal dynamics ⋮ Livšic theorem for diffeomorphism cocycles ⋮ Livšic theorem for matrix cocycles over an axiom a flow

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