Lecture Notes

(These were never proof read, and probably never will be. Use with care!)

• Measure Theory (prepared by Tim Sullivan)

• Ergodic Theory

• Thermodynamic Formalism for countable Markov shifts

• Horocycle flows on surfaces with infinite genus , Geometric and Ergodic Aspects of Group actions, S.G. Dani and A. Gosh (editors), Infosys Science Foundation Series in Math Sciences, Springer, 2019

• Introduction to the transfer operator method (HMI notes)

• Local limit theorems for inhomogeneous Markov chains, with Dmitry Dolgopyat , to appear in Springer Lecture Notes in Math. Note: This is a preliminary version, which differs from the final version. Springer does not allow us to post the final version online.