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A Pedagogical Introduction to Critical Percolation via the Hierarchical Lattice

[HYBRID WORKSHOP] Introductory Workshop: The Analysis and Geometry of Random Spaces January 24, 2022 - January 28, 2022

January 26, 2022 (11:10 AM PST - 12:00 PM PST)
Speaker(s): Tom Hutchcroft (California Institute of Technology)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Tags/Keywords

  • percolation

  • critical exponents

  • hierarchical

  • critical phenomena

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

A Pedagogical Introduction To Critical Percolation Via The Hierarchical Lattice
Abstract

I will give an introduction to critical exponents in Bernoulli percolation by analyzing the model on the hierarchical lattice, a toy model that has much more symmetry than the Euclidean lattice and permits exact computation of several interesting quantities. Along the way I will review some classical topics such as the sharpness of the phase transition.
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Video/Audio Files

A Pedagogical Introduction To Critical Percolation Via The Hierarchical Lattice

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