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Walkden, Charles - Department of Mathematics, University of Manchester
Livsic regularity theorems for twisted cocycle equations over hyperbolic
Cocycles in Hyperbolic Dynamics: Livsic Regularity Theorems and
Spectral Methods for Compact Group Extensions of Shifts
This thesis is about cocycle equations over hyperbolic dynamical sys tems. The three chapters are interrelated but can be read independently.
Livsic theorems for hyperbolic flows C. P. Walkden
Livsic theorems for connected Lie groups M. Pollicott C.P. Walkden
Regularity of invariant graphs over hyperbolic systems
Stable ergodicity of skew products of onedimensional hyperbolic flows
The box dimension of invariant graphs over hyperbolic systems
Solutions to the twisted cocycle equation over hyperbolic systems
Stable ergodic properties of cocycles over hyperbolic attractors