TIFR-CAM, August-November, 2023.

Here is a brief description of the course : "Link".
Classes will be held from 2:00 PM to 5:00 PM on Wednesdays. The classes will be held in person at Chern, ICTS.
Office can be scheduled upon request.


Grading Scheme: The grade will be decided upon a presentation and final report (50% each).

Lecture notes

Lecture 1, date: 9 August, 2023 Notes Introduction and random banter

Lecture 2, date: 16 August, 2023 Notes 1 dimensional warm up

Lecture 3, date: 23 August, 2023 Notes 1 dimensional warm up continued

Lecture 4, date: 30 August, 2023 Notes What is a shift space?

Lecture 5, date: 6 September, 2023 Notes_1 Notes_2 Undecidability of the emptiness problem for SFTs; Lecture by Aditya Thorat

Lecture 6, date: 13 September, 2023 Notes An introduction to entropy

Lecture 7, date: 20 September, 2023 Notes Basic properties of entropy: Upper Semicontinuity and some Affinity

Lecture 8, date: 27 September, 2023 Notes The variational principle

Lecture 9, date: 4 October, 2023 Notes Computability of entropy in various cases

Lecture 10, date: 11 October, 2023 Notes DLR equations

Lecture 11, date: 18 October, 2023 Notes Entropy minimality

Lecture 12, date: 25 October, 2023 Notes An introduction to Percolation by Shaibal Karmakar

Lecture 13, date: 1 November, 2023 Link Uniqueness of measures of maximal entropy

Lecture 14, date: 8 November, 2023 Notes 1 Notes 2 On large deviations by Sudeshna Bhattacharjee and Sourish Maniyar

Lecture 15, date: 15 November, 2023 Notes Lifts to trees and extensions by Subhajit Ghosh and Priyadarshini

Lecture 16 and 17, date: 22 and 29 November, 2023 Notes About proper 3-colourings

Some Resources

Simulations for the Ising model Link

Simulations for the dimer model in 3 dimensions Link