Bond percolation on a square lattice. Each edge of the lattice is open with probability p, independently of all others. p is varied from 0 to 1. For more details on the simulations, see http://www.univ-orleans.fr/mapmo/membres/berglund/ressim.html
From playlist Percolation
Percolation: a Mathematical Phase Transition
—————SOURCES———————————————————————— Percolation – Béla Bollobás and Oliver Riordan Cambridge University Press, New York, 2006. Sixty Years of Percolation – Hugo Duminil-Copin https://www.ihes.fr/~duminil/publi/2018ICM.pdf Percolation – Geoffrey Grimmett volume 321 of Grundlehren der Ma
From playlist Prob and Stats
Sixty years of percolation – Hugo Duminil-Copin – ICM2018
Mathematical Physics | Probability and Statistics Invited Lecture 11.10 | 12.13 Sixty years of percolation Hugo Duminil-Copin Abstract: Percolation models describe the inside of a porous material. The theory emerged timidly in the middle of the twentieth century before becoming one of th
From playlist Percolation
Remco van der Hofstad - Hypercube percolation
Consider bond percolation on the hypercube {0,1}^n at the critical probability p_c defined such that the expected cluster size equals 2^{n/3}, where 2^{n/3} acts as the cube root of the number of vertices of the n-cube. Percolation on the Hamming cube was proposed by Erdös and Spencer (197
From playlist Les probabilités de demain 2017
From playlist Contributed talks One World Symposium 2020
Multivariable Maximum and Minimum Problems
In this video, we will work through several examples of problems where we find critical points of multivariable functions and test them to find local maximum and local minimum points.
From playlist Multivariable Calculus
2020.05.14 Louigi Addario-Berry - Critical first-passage percolation (part 1)
Part 1: background and behaviour on regular trees Part 2: limit theorems for lattice first-passage times For many lattice models in probability, the high-dimensional behaviour is well-predicted by the behaviour of a corresponding random model defined on a regular tree. Rigorous resul
From playlist One World Probability Seminar
Bond percolation on a square lattice. Each edge of the lattice is open with probability p, independently of all others. p is varied from 0 to 1. The connected component of the left-hand boundary is highlighted. It touches the right-hand boundary for p close to 0.5. For more information,
From playlist Percolation
Zooming out of Bernoulli site percolation configurations on a lattice of triangles
This three-part video shows zooms out of percolation configurations on a lattice of equilateral triangles, for three different values of the probability p that a cell is open: Subcritical (p = 0.8*pc): 0:00 Supercritical (p = 1.2*pc): 0:38 Critical (p = pc): 1:16 Here pc is the critical p
From playlist Percolation
Universality Classes of avalanches in sandpiles and growing interfaces by Deepak Dhar
PROGRAM :UNIVERSALITY IN RANDOM STRUCTURES: INTERFACES, MATRICES, SANDPILES ORGANIZERS :Arvind Ayyer, Riddhipratim Basu and Manjunath Krishnapur DATE & TIME :14 January 2019 to 08 February 2019 VENUE :Madhava Lecture Hall, ICTS, Bangalore The primary focus of this program will be on the
From playlist Universality in random structures: Interfaces, Matrices, Sandpiles - 2019
Geoffrey Grimmett (University of Cambridge, UK) by Geoffrey Grimmett
PROGRAM FIRST-PASSAGE PERCOLATION AND RELATED MODELS (HYBRID) ORGANIZERS: Riddhipratim Basu (ICTS-TIFR, India), Jack Hanson (City University of New York, US) and Arjun Krishnan (University of Rochester, US) DATE: 11 July 2022 to 29 July 2022 VENUE: Ramanujan Lecture Hall and online This
From playlist First-Passage Percolation and Related Models 2022 Edited
From playlist Plenary talks One World Symposium 2020
Multiple giant clusters and spongy phases in generalized percolation, and... by Peter Grassberger
DISCUSSION MEETING STATISTICAL PHYSICS: RECENT ADVANCES AND FUTURE DIRECTIONS (ONLINE) ORGANIZERS: Sakuntala Chatterjee (SNBNCBS, Kolkata), Kavita Jain (JNCASR, Bangalore) and Tridib Sadhu (TIFR, Mumbai) DATE: 14 February 2022 to 15 February 2022 VENUE: Online In the past few decades,
From playlist Statistical Physics: Recent advances and Future directions (ONLINE) 2022
2020.05.14 Jack Hanson - Critical first-passage percolation (part 2)
Part 1: background and behaviour on regular trees Part 2: limit theorems for lattice first-passage times For many lattice models in probability, the high-dimensional behaviour is well-predicted by the behaviour of a corresponding random model defined on a regular tree. Rigorous results
From playlist One World Probability Seminar
Directed percolation and the route to turbulence by Dwight Barkley
DISCUSSION MEETING: 7TH INDIAN STATISTICAL PHYSICS COMMUNITY MEETING ORGANIZERS : Ranjini Bandyopadhyay, Abhishek Dhar, Kavita Jain, Rahul Pandit, Sanjib Sabhapandit, Samriddhi Sankar Ray and Prerna Sharma DATE: 19 February 2020 to 21 February 2020 VENUE: Ramanujan Lecture Hall, ICTS Ba
From playlist 7th Indian Statistical Physics Community Meeting 2020
Michael Damron (Georgia Tech) -- Critical first-passage percolation in two dimensions
In 2d first-passage percolation (FPP), we place nonnegative i.i.d. weights (t_e) on the edges of Z^2 and study the induced weighted graph pseudometric T = T(x,y). If we denote by p = P(t_e = 0), then there is a transition in the large-scale behavior of the model as p varies from 0 to 1. Wh
From playlist Columbia Probability Seminar
Hugo Duminil-Copin - 1/4 Sharp threshold phenomena in Statistical Physics
In this course, we will present different techniques developed over the past few years, enabling mathematicians to prove that phase transitions are sharp. We will focus on a few classical models of statistical physics, including Bernoulli percolation, the Ising model and the random-cluster
From playlist Percolation