Inducing Schemes and Their Role in Thermodynamics - ICTP 2021

Explore the intricate relationship between inducing schemes and thermodynamics in this 55-minute lecture by Agnieszka Zelerowicz from the University of Maryland, USA. Delve into topics such as Young differemorphism, symbolic representation, invariant measures, and the Bernoulli property. Examine the Central Limit Theorem, equilibrium measures, and induced maps. Investigate Markov partitions, phase transitions, and pressure analyticity. Gain insights into cardinality and positive recurrence as the lecture progresses through various mathematical concepts and their applications in thermodynamics.

Introduction
Setup
Young differemorphism
Symbolic representation
Invariant measures
Natural question
Bernoulli property
Central Limit Theorem
Equilibrium measures
Induced map
Original map
Binomial property
Markov partition
Phase transitions
Pressure analyticity
Conditions
Questions
Cardinality
Positive Recurrence
Outro