Lectures in Probability and Statistics (LPS) XV

Date: December 2022

Place: Indian Institute of Science, Bengaluru

The conference webpage is available here.

Lecture notes/transcripts

For some notes and references on basic Markov chain theory, please see the webpages for iterations of related courses I taught in Winter 2020, Monsoon 2017 and Winter 2022.

References

[ALOGV]: Anari, Nima, Kuikui Liu, Shayan Oveis Gharan, and Cynthia Vinzant. Log-Concave Polynomials II: High-Dimensional Walks and an FPRAS for Counting Bases of a Matroid. Proc. ACM STOC 2018. Available at arXiv:1811.01816.

[BH]: Brändén, Petter, and June Huh. Lorentzian Polynomials. Ann. Math. Available at arXiv:1902.03719.

[CE]: Chen, Yuansi, and Ronen Eldan. Localization Schemes: A Framework for Proving Mixing Bounds for Markov Chains. Proc. IEEE FOCS 2022. Available at arXiv:2203.04163.

[CGM]: Cryan, Mary, Heng Guo, and Giorgos Mousa. Modified Log-Sobolev Inequalities for Strongly Log-Concave Distributions. Proc. IEEE FOCS 2019 Available at arXiv:1903.06081.