A Pedagogical Introduction to Critical Percolation via the Hierarchical Lattice Pt II
[HYBRID WORKSHOP] Introductory Workshop: The Analysis and Geometry of Random Spaces January 24, 2022 - January 28, 2022
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Tags/Keywords
percolation
critical exponents
hierarchical
critical phenomena
A Pedagogical Introduction To Critical Percolation Via The Hierarchical Lattice Pt. II
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.
A Pedagogical Introduction To Critical Percolation Via The Hierarchical Lattice Pt. II
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