First meeting was today, next meeting 24.04 10-12:00
Topics
Spectral estimates
Logarithmic Sobolev inequality
Literature:
https://isis.tu-berlin.de/pluginfile.php/2980072/course/section/552557/Discrete%20time%20Markov%20chains%20SPECTRAL%20GAP%20P-PK.pdf
Spectral gap, Sobolev notes
https://isis.tu-berlin.de/pluginfile.php/2980072/course/section/552557/Discrete%20time%20Markov%20chains%20Random%20walk%20on%20weighted%20graphs%20Spectral%20gap%2C%20Sobolev%20inequality.pdf
J.-D. Deuschel, D. Stroock, Large Deviations Chapter 6.
Geometric Bounds for Eigenvalues of Markov Chains
Persi Diaconis, Daniel Stroock
https://projecteuclid.org/journals/annals-of-applied-probability/volume-1/issue-1/Geometric-Bounds-for-Eigenvalues-of-Markov-Chains/10.1214/aoap/1177005980.full
- Trainer/in: Jean-Dominique Deuschel
- Trainer/in: Kaan Koçaslan