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Here is my favorite answer. Web page of a course on Markov chain mixing. Expositions and Riddles: Discussions of problems and riddles in probability, analysis, and theoretical computer science (Last update: Spread of a contagion in a heterogeneous population – Linear algebra tutorial, Aug 2020 ).
- Gaussian Analytic Functions
Gaussian Analytic Functions A Poisson point process (left)...
- Expositions and Riddles
Note: this problem was posted (with fewer details) by Oliver...
- Rotor-Router Model
Yuval Peres > Rotor-Router Model. Rotor-Router Model....
- Random Walks
Yuval Peres > Random Walks. Random Walks Two simple random...
- Gaussian Analytic Functions
Yuval Peres (Hebrew: יובל פרס; born 5 October 1963) is an Israeli mathematician best known for his research in probability theory, ergodic theory, mathematical analysis, theoretical computer science, and in particular for topics such as fractals and Hausdorff measure, random walks, Brownian motion, percolation and Markov chain ...
Articles 1–20. yuvalperes.com - Cited by 28,234 - Probability Theory - Ergodic Theory and Fractals - Markov chains and Random walks - Game Theory - Brownian Motion.
Yuval Peres is a renowned researcher in probability, analysis and computing, with publications in Annals of Mathematics and other journals. He also shares his unsolved mathematical problems on his website and invites feedback from the community.
Yuval Peres is an international member of the US National Academy of Sciences and a researcher at Kent State University. He has worked on probability theory, analysis, statistical learning, algorithms, PDE, fractals, and dynamical systems.
His research encompasses random walks, Brownian motion, percolation, and random graphs. Dr. Peres is an IMS fellow and a recipient of the Rollo Davidson prize and the Loeve prize.
Yuval Peres. Benjamini et al. (Inst Hautes Études Sci Publ Math 90:5–43, 2001) showed that weighted majority functions of n independent unbiased bits are uniformly stable under noise: when each...
