Simons Semester in Banach Center: "Dynamical Systems"

Mark Pollicott: Ergodic theory of hyperbolic flows

Mark Pollicott (University of Warwick)

Ergodic theory of hyperbolic flows


i) Hyperbolic Systems and Thermodynamic Formalism.
ii) Transfer Operator and Spectral Methods.
iii) Statistical Properties: Central limit theorems and related properties.
iv)  Decay of Correlations: Different rates of mixing for flows.
v) Zeta functions: Properties, connection to decay of correlations and applications to counting problems.
vi) Applications: Spectral theory of thin groups; Higher Teichmuller Theory.