Lecture Notes
Here you will find some material I made for some courses, some as a student and some as a teacher.
2022:
MAT4001 Generalized Thermodynamic Formalism at IME-USP. Full slides here.
If you want the slides separated by lecture, they can be found below. =)
The recordings of the lectures will be available soon.
Lectures:
Day 01: standard Markov shifts and thermodynamic formalism. (slides) (video)
Day 02: C*-algebras, Exel-Laca algebras, generalized Markov shifts. (slides) (video)
Day 03: Generalized Markov shifts. (slides) (video)
Day 04: generalized Markov shifts and thermodynamic formalism. (slides) (video)
Day 05: generalized thermodynamic formalism. (slides) (video)
Day 06: generalized thermodynamic formalism and length-type phase transition. (slides) (video)
Bibliography slides here.
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An Introduction to C*-algebras and KMS states for Physicists.