The Livsic Cocycle Equation for Compact Lie Group Extensions of Hyperbolic Systems

DOI10.1112/S0024610797005474zbMath0943.37009WikidataQ115256135 ScholiaQ115256135MaRDI QIDQ4399281

William Parry, Mark Pollicott

Publication date: 7 September 2000

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

hyperbolic systemscompact Lie group valued cocyclesregularity of equivalence

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85)

Related Items (18)

Smooth Livšic regularity for piecewise expanding maps ⋮ Boundedness, compactness, and invariant norms for Banach cocycles over hyperbolic systems ⋮ Smooth local rigidity for hyperbolic toral automorphisms ⋮ Some questions and remarks on Lyapunov irregular behavior for linear cocycles ⋮ Livšic theorem for matrix cocycles ⋮ Continuous orbit equivalence rigidity for left-right wreath product actions ⋮ Livšic theorem for matrix cocycles over nonuniformly hyperbolic systems ⋮ The mathematical research of William Parry FRS ⋮ Livsic theorems for connected Lie groups ⋮ Precise asymptotics on the Birkhoff sums for dynamical systems ⋮ On the cohomology class of fiber-bunched cocycles on semi simple Lie groups ⋮ On mixing properties of compact group extensions of hyperbolic systems ⋮ Livšic theorems for non-commutative groups including diffeomorphism groups and results on the existence of conformal structures for Anosov systems ⋮ Topological Wiener–Wintner ergodic theorems via non-abelian Lie group extensions ⋮ Cohomology of fiber bunched cocycles over hyperbolic systems ⋮ Livšic measurable rigidity for 𝒞¹ generic volume-preserving Anosov systems ⋮ Shift endomorphisms and compact Lie extensions ⋮ Local rigidity for hyperbolic toral automorphisms

This page was built for publication: The Livsic Cocycle Equation for Compact Lie Group Extensions of Hyperbolic Systems