Critical phenomena | Renormalization group

Scaling limit

In mathematical physics and mathematics, the continuum limit or scaling limit of a lattice model refers to its behaviour in the limit as the lattice spacing goes to zero. It is often useful to use lattice models to approximate real-world processes, such as Brownian motion. Indeed, according to Donsker's theorem, the discrete random walk would, in the scaling limit, approach the true Brownian motion. (Wikipedia).

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Properties of Limits

This video covers the properties of limits and verifies them graphically.

From playlist Limits

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How to Compute a One Sided limit as x approaches from the right

In this video I will show you How to Compute a One Sided limit as x approaches from the right.

From playlist One-sided Limits

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Determine Limits Using Limit Laws (Properties)

This video explains how to determine limits using limit laws or limit properties.

From playlist Limits

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Determining Limits of Trigonometric Functions

An introductory video on determining limits of trigonometric functions. http://mathispower4u.wordpress.com/

From playlist Limits

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Calculus 2.4 The Precise Definition of a Limit

My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart

From playlist Calculus

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Computing Limits from a Graph with Infinities

In this video I do an example of computing limits from a graph with infinities.

From playlist Limits

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Examples 2: Determining Limits and One-Sided Limits Graphically

This video provides several examples of determining limits and one-sided limits graphically. Complete Video List at http://www.mathispower4u.com

From playlist Limits

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Determining Limits

http://mathispower4u.wordpress.com/

From playlist Limits

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Calculus 2.1b - Intro to Limits

continued from the previous video. An introduction to the chapter on Limits.

From playlist Calculus Chapter 2: Limits (Complete chapter)

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Rita Ferreira: "Homogenization of a stationary mean-field game via two-scale convergence"

High Dimensional Hamilton-Jacobi PDEs 2020 Workshop III: Mean Field Games and Applications "Homogenization of a stationary mean-field game via two-scale convergence" Rita Ferreira - King Abdullah Univ. of Science and Technology (KAUST) Abstract: In this talk, we address the study of the

From playlist High Dimensional Hamilton-Jacobi PDEs 2020

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C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 2

We introduce various notions of convergence of Riemannian manifolds and metric spaces. We then survey results and open questions concerning the limits of sequences of Riemannian manifolds with uniform lower bounds on their scalar curvature. We close the course by presenting methods and the

From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics

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Diffusion from deterministic dynamics - Antti Kupiainen

Antti Kupiainen University of Helsinki; Member, School of Mathematics October 24, 2013 I discuss a renormalization group method to derive diffusion from time reversible quantum or classical microscopic dynamics. I start with the problem of return to equilibrium and derivation of Brownian m

From playlist Mathematics

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Diffusion from deterministic dynamics - Antti Kupiainen

Antti Kupiainen University of Helsinki; Member, School of Mathematics October 24, 2013 I discuss a renormalization group method to derive diffusion from time reversible quantum or classical microscopic dynamics. I start with the problem of return to equilibrium and derivation of Brownian m

From playlist Mathematics

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C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 2 (version temporaire)

We introduce various notions of convergence of Riemannian manifolds and metric spaces. We then survey results and open questions concerning the limits of sequences of Riemannian manifolds with uniform lower bounds on their scalar curvature. We close the course by presenting methods and the

From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics

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Martin Hairer (DDMCS@Turing): Universality classes for 1+1 dimensional systems

Complex models in all areas of science and engineering, and in the social sciences, must be reduced to a relatively small number of variables for practical computation and accurate prediction. In general, it is difficult to identify and parameterize the crucial features that must be incorp

From playlist Data driven modelling of complex systems

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Constructing a solution of the 2D Kardar-Parisi-Zhang equation (Lecture - 03) by Sourav Chatterjee

INFOSYS-ICTS RAMANUJAN LECTURES SOME OPEN QUESTIONS ABOUT SCALING LIMITS IN PROBABILITY THEORY SPEAKER Sourav Chatterjee (Stanford University, California, USA) DATE & TIME 14 January 2019 to 18 January 2019 VENUE Madhava Lecture Hall, ICTS campus GALLERY Lecture 1: Yang-Mills for mathemat

From playlist Infosys-ICTS Ramanujan Lectures

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Martin Hairer: Survey of research directions

SMRI-MATRIX Symposium with Martin Hairer 4 February 2021: Survey of research directions Title: Open problems and conjectures in SPDE theory Abstract: We will survey a number of open problems and conjectures both within SPDE theory and linking SPDE theory to other areas of mathematics.

From playlist Symposium with Martin Hairer

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Anomalous Collective Diffusion of Interacting Self-propelled Particles by Punyabrata Pradhan

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

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Jens Marklof - Quantum Lorentz gas in the Boltzmann-Grad limit: random vs periodic

Jens Marklof (University of Bristol) Quantum Lorentz gas in the Boltzmann-Grad limit: random vs periodic. A major challenge in the kinetic theory of gases is to establish the convergence of the dynamics to a macroscopic transport process described by the appropriate kinetic equation. In

From playlist Large-scale limits of interacting particle systems

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Part 1: Formal Definition of a Limit

This video states the formal definition of a limit and provide an epsilon delta proof that a limit exists. complete Video Library at http://www.mathispower4u.com

From playlist Limits

Related pages

Donsker's theorem | Mathematics | Brownian motion | Random walk