In statistical physics and mathematics, percolation theory describes the behavior of a network when nodes or links are added. This is a geometric type of phase transition, since at a critical fraction of addition the network of small, disconnected clusters merge into significantly larger connected, so-called spanning clusters. The applications of percolation theory to materials science and in many other disciplines are discussed here and in the articles network theory and percolation. (Wikipedia).
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
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
Cluster size distribution for Bernoulli site percolation on a Poisson disc process
Like the recent video https://youtu.be/zvKh0rxQgAs , this simulation shows percolation on a Poisson disc process, but this time all clusters are shown in colors depending on their size. The Poisson disc process is similar to a Poisson point process (points thrown independently and uniforml
From playlist Percolation
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
Bernoulli site percolation on a Poisson disc process
Several recent videos on this channel have shown percolation on regular lattices. This simulation shows for a change percolation on a random lattice. The vertices of the lattice form a Poisson disc process, which is similar to a Poisson point process (points thrown independently and unifor
From playlist Percolation
Omer Bobrowski (12/11/19): Homological Percolation: The Formation of Giant Cycles
Title: Homological Percolation: The Formation of Giant Cycles Abstract: In probability theory and statistical physics, the field of percolation studies the formation of “giant” (possibly infinite) connected components in various random structures. In this talk, we will discuss a higher di
From playlist AATRN 2019
The Nature of Causation: The Counterfactual Theory of Causation
In this second lecture in this series on the nature of causation, Marianne Talbot discusses the counterfactual theory of causation. We have causal theories of reference, perception, knowledge, content and numerous other things. If it were to turn out that causation doesn’t exist, we would
From playlist The Nature of Causation
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
Bernoulli bond percolation on a square lattice
This percolation simulation shows bond percolation on a square lattice, as opposed to site percolation, that is shown in the video https://youtu.be/9-yn6_2pu0Y . This means that all the action happens on the edges of a square lattice, like the dark lines on graph paper. The video is a vari
From playlist Percolation
The Collapse of Viruses: Graph-Based Percolation Theory in the Wolfram Language
Graph-based percolation theory may be done in the Wolfram Language, here to aid in the understanding of viruses, their disassembly and eventual collapse. Capsids are protein nanocontainers that store and protect a virus’s genetic material in transit between hosts. Capsids consist of hundre
From playlist Wolfram Technology Conference 2020
Heterogeneous dynamics during onset of shear flow in glasses by Pinaki Chaudhuri
Date & Time: 17 February 2017 to 19 February 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru This is an annual discussion meeting of the Indian statistical physics community which is attended by scientists, postdoctoral fellows, and graduate students, from across the country, working
From playlist Indian Statistical Physics Community Meeting 2017
Mathematical Physics (Phil Sosoe) | Ep. 6
Phil Sosoe is a professor at Cornell working in probability and mathematical physics. We discuss the major problems in his field and the difference between the approaches of mathematicians and physicists. 0:00 How COVID has affected teaching at Cornell 4:25 Probability and mathematical p
From playlist Daniel Rubin Show, Full episodes
Gallai-Edmonds Percolation by Kedar Damle
DISCUSSION MEETING : STATISTICAL PHYSICS OF COMPLEX SYSTEMS ORGANIZERS : Sumedha (NISER, India), Abhishek Dhar (ICTS-TIFR, India), Satya Majumdar (University of Paris-Saclay, France), R Rajesh (IMSc, India), Sanjib Sabhapandit (RRI, India) and Tridib Sadhu (TIFR, India) DATE : 19 December
From playlist Statistical Physics of Complex Systems - 2022
Hugo DUMINIL-COPIN - Critical phenomena through the lens of the Ising model
https://ams-ems-smf2022.inviteo.fr/
From playlist International Meeting 2022 AMS-EMS-SMF
Monomer Percolation by Kedar Damle
PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In
From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)
Variational formulas for directed polymer and percolation models on the plane - Timo Seppalainen
Timo Seppalainen Univ Wisconsin April 2, 2014 For more videos, visit http://video.ias.edu
From playlist Mathematics
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
The Nature of Causation: The Regularity Theory
What is causation? In this first lecture in this series on the nature of causation, Marianne Talbot discusses Hume's famous account of causation, which is a version of the so-called regularity theory. We have causal theories of reference, perception, knowledge, content and numerous other
From playlist The Nature of Causation
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