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)
Conjectured Phase Diagram for Edge–Triangle Model (Fall 2025)
Coupling of Regularizing Tilts of GFF via Polchinski Dynamics (Fall 2025)
Dynamics of the Hypercube and Curie–Weiss Model (Spring 2026)
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 chain can yield concentration results (Fall 2024)