Mark Pollicott (University of Warwick)
Ergodic theory of hyperbolic flows
Contents:
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.