Lecture notes on disordered models, under construction, with an exercise and solution on the absence of magnetization in the two-dimensional random-field Ising model, joint with Paul Dario. Initially prepared for the School on Disordered media, Rényi Institute, Budapest, Hungary, January 2025.
Slides of a talk (with many pictures!) on Non-constant ground configurations in the disordered ferromagnet and on Minimal surfaces in random environment, given at SPA 2025, Wrocław, Poland, July 2025. Slides with more proof details from the UK Easter Probability meeting, Durham, UK, April 2025.
Slides of a talk on Non-constant ground configurations in the disordered ferromagnet, given at the Stanford Probability Seminar, May 2023. Video at the Percolation Today webinar.
Lecture notes and video for a talk on Localization of Random Band Matrices at the Mathematical Challenges in Quantum Physics workshop, PCTS, Princeton, March 2023.
Lecture on coalescence of geodesics and influence of edges in first-passage percolation given at Peking University's Fall School in Probability, December 2023. Hand-written notes with ideas of proof for coalescence, given at the University of Chicago Probability and Statistical Physics Seminar, October 2022. Slides of a short version delivered at the 123rd Statistical Mechanics Conference, Rutgers, December 2022. Video of an earlier version given at the IAS probability Seminar, September 2022. Additional video by Barbara Dembin on the same work, given at the ICTS on July 2022. Additional slides and video of a talk by Dor Elboim on the same work, given at the online Joint Israeli Probability Seminar, March 2022.
Slides of a talk (with many pictures!) on Random Packings and Liquid Crystals, following the paper Columnar order in random packings of 2×2 squares on the square lattice, given at the Mathematical Physics Webinar of Rutgers University, January 2023. Video of an earlier version of the talk given at the online TIFR-CAM Colloquium Bengaluru, India, March 2022.
Slides of a talk on the papers Quantitative disorder effects in low-dimensional spin systems and Random-field random surfaces, given at Peking University's Fall School in Probability, December 2023. Hand-written notes focusing on the magnetization decay in the continuous-symmetry random-field spin O(n) models. Video of a talk on the topic, given at the One World Mathematical Physics Seminar, August 2021. Second video focusing on a different proof from probability seminar of Northwestern University and the University of Minnesota, November 2020.
Slides and video of a talk on the cycle structure of Euclidean random permutations following the papers On the Cycle Structure of Mallows Permutations and Limit distributions for Euclidean random permutations, given at the online BIRS workshop on Permutations and Probability, September 2020.
Slides and video of a talk on the paper Concentration inequalities for log-concave distributions with applications to random surface fluctuations, given at the One World Probability Seminar, July 2020.
Slides 1, Slides 2 of a talk on the paper Site percolation on planar graphs and circle packings at the Discrete Mathematics Seminar of Rutgers University, January 2023. Video and video of talks at the Random Geometry and Statistical Physics Seminar (March 2021) and at the Oxford Discrete Mathematics and Probability Seminar (April 2020).
Three lectures on random proper colorings of Zd. Joint with Yinon Spinka. Expanded version of lectures given at the workshop on Random Walks, Random Graphs and Random Media, Ludwig Maximilian University of Munich, September 2019, and at the Lectures in Probability and Stochastic Processes XIV, ISI Delhi, December 2019.
Plenary talk (ppt, pdf) on "The proper way to color a grid", Israel Mathematical Union annual meeting, June 2019, Hebrew University of Jerusalem.
Slides and Video of a talk on roughness of the height function of square ice and long-range order in proper colorings and other models on Zd, Critical Phenomena in Statistical Mechanics and Quantum Field Theory, October 2018, PCTS Princeton.
Presentation of a talk on the correlations in the 2D random-field Ising model, International Congress of Mathematical Physics, July 2018, Montreal.
The Fröhlich-Spencer Proof of the Berezinskii-Kosterlitz-Thouless Transition. Master's thesis of Vital Kharash.
Video of talk on a condition for long-range order in discrete spin systems (see also this paper and this paper) by Yinon Spinka at Elegance in Probability: A conference honoring Russell Lyons' 60th birthday, September 2017, Tel Aviv University.
Lectures on the spin and loop O(n) models. Joint with Yinon Spinka. Expanded version of lectures given at the School and Workshop on Random Interacting systems, June 2016, University of Bath.
Video of talk on Band Permutations, Groups, Graphs and Stochastic Processes workshop, June 2015, Banff.
Lecture notes on Spatial Random Permutations for the Warsaw Summer School in Probability, June 2015, Warsaw University.
Video of talk on Delocalization of Two-Dimensional Random Surfaces with Hard-Core Constraints, Random Graphs, Random Trees and Applications workshop, March 2015, Newton Institute, Cambridge.
Video of talk on Probabilistic Existence of Regular Combinatorial Structures, Midrasha Mathematica 18, January 2015, IAS Hebrew University.
Presentation of a talk on gravitational allocation to Poisson points in Rd, d≥3.