Critical phenomena | Percolation theory | Random graphs

Percolation threshold

The percolation threshold is a mathematical concept in percolation theory that describes the formation of long-range connectivity in random systems. Below the threshold a giant connected component does not exist; while above it, there exists a giant component of the order of system size. In engineering and coffee making, percolation represents the flow of fluids through porous media, but in the mathematics and physics worlds it generally refers to simplified lattice models of random systems or networks (graphs), and the nature of the connectivity in them. The percolation threshold is the critical value of the occupation probability p, or more generally a critical surface for a group of parameters p1, p2, ..., such that infinite connectivity (percolation) first occurs. (Wikipedia).

Percolation threshold
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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

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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

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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

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Lecture 02 Assessment of pulmonary risk part 1

Assessment of pulmonary risk part 1

From playlist Perioperative Patient Care _ Demo

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Physics - Thermodynamics: (1 of 8) Boiling Point Of Water

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain evaporation and boiling point of water.

From playlist PHYSICS 25 THERMODYNAMICS AND WATER

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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

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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

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Signal Percolation through Biological Systems by Sanchari Goswami

DISCUSSION MEETING 8TH INDIAN STATISTICAL PHYSICS COMMUNITY MEETING ORGANIZERS: Ranjini Bandyopadhyay (RRI, India), Abhishek Dhar (ICTS-TIFR, India), Kavita Jain (JNCASR, India), Rahul Pandit (IISc, India), Samriddhi Sankar Ray (ICTS-TIFR, India), Sanjib Sabhapandit (RRI, India) and Prer

From playlist 8th Indian Statistical Physics Community Meeting-ispcm 2023

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Percolation of Level-Sets of the Gaussian Free Field (Lecture-2) by Subhajit Goswami

PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE (ONLINE) ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Mahan M J (TIFR, Mumbai) DATE & TIME: 01 March 2021 to 12 March 2021 VENUE: Online Due to the ongoing COVID pandemic, the meeting will

From playlist Probabilistic Methods in Negative Curvature (Online)

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Julia Komjathy: Weighted distances in scale free random graph models

Abstract: In this talk I will review the recent developments on weighted distances in scale free random graphs as well as highlight key techniques used in the proofs. We consider graph models where the degree distribution follows a power-law such that the empirical variance of the degrees

From playlist Probability and Statistics

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GFF Level-Set Percolation (Lecture-1) by Subhajit Goswami

PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE (ONLINE) ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Mahan M J (TIFR, Mumbai) DATE & TIME: 01 March 2021 to 12 March 2021 VENUE: Online Due to the ongoing COVID pandemic, the meeting will

From playlist Probabilistic Methods in Negative Curvature (Online)

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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

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Connecting Random Connection Models by Srikanth K Iyer

PROGRAM: ADVANCES IN APPLIED PROBABILITY ORGANIZERS: Vivek Borkar, Sandeep Juneja, Kavita Ramanan, Devavrat Shah, and Piyush Srivastava DATE & TIME: 05 August 2019 to 17 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Applied probability has seen a revolutionary growth in resear

From playlist Advances in Applied Probability 2019

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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

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Omer Bobrowski: Random Simplicial Complexes, Lecture III

A simplicial complex is a collection of vertices, edges, triangles, tetrahedra and higher dimensional simplexes glued together. In other words, it is a higher-dimensional generalization of a graph. In recent years there has been a growing effort in developing the theory of random simplicia

From playlist Workshop: High dimensional spatial random systems

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