Vilas's Math Notes
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Notes From Talks I've Given at UC Berkeley
Discrete Analysis Seminar
Critical Random Graphs and Brownian Excursions (Autumn 2022)
A Birds-Eye View of Longest Increasing Subsequences (Spring 2023)
An Exposition to an Exposition to Information Percolation (Fall 2023)
Student Probability Seminar
Stein's Method: Size-Bias and Isolated Vertices (Spring 2023)
Stein's Method: Concentration of Magnetization in the Curie-Weiss Model (Spring 2023)
Superconcentration: Introduction (Fall 2023)
Superconcentration: and Chaos (Fall 2023)
Connectedness Threshold in Random Graphs (Spring 2024)
Approximation, Inference, and Sampling of Gibbs Measures (Fall 2024)
Self-Organized Criticality in the 1D Activated Random Walk (Spring 2025)
Miscellaneous
Notes for a discussion about limiting fluctuations of exponential last-passage percolation (Spring 2023)
Notes for a lecture about the (weak) regularity lemma in a class about Gibbs measures (Fall 2024)
Notes for a lecture about how fast mixing of a Markov chaing can yield concentration results (Fall 2024)