Measure theory | Probabilistic inequalities
In the probability theory field of mathematics , Talagrand's concentration inequality is an isoperimetric-type inequality for product probability spaces. It was first proved by the French mathematician Michel Talagrand. The inequality is one of the manifestations of the concentration of measure phenomenon. (Wikipedia).
Radek Adamczak: Functional inequalities and concentration of measure II
Concentration inequalities are one of the basic tools of probability and asymptotic geo- metric analysis, underlying the proofs of limit theorems and existential results in high dimensions. Original arguments leading to concentration estimates were based on isoperimetric inequalities, whic
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Radek Adamczak: Functional inequalities and concentration of measure III
Concentration inequalities are one of the basic tools of probability and asymptotic geo- metric analysis, underlying the proofs of limit theorems and existential results in high dimensions. Original arguments leading to concentration estimates were based on isoperimetric inequalities, whic
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Radek Adamczak: Functional inequalities and concentration of measure I
Concentration inequalities are one of the basic tools of probability and asymptotic geo- metric analysis, underlying the proofs of limit theorems and existential results in high dimensions. Original arguments leading to concentration estimates were based on isoperimetric inequalities, whic
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Joe Neeman: Gaussian isoperimetry and related topics II
The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Carlo Gasbarri: Liouville’s inequality for transcendental points on projective varieties
Abstract: Liouville inequality is a lower bound of the norm of an integral section of a line bundle on an algebraic point of a variety. It is an important tool in may proofs in diophantine geometry and in transcendence. On transcendental points an inequality as good as Liouville inequality
From playlist Algebraic and Complex Geometry
Jean-René Chazottes: A brief introduction to concentration inequalities
$Let (X,T)$ be a dynamical system preserving a probability measure $\mu $. A concentration inequality quantifies how small is the probability for $F(x,Tx,\ldots,T^{n-1}x)$ to deviate from $\int F(x,Tx,\ldots,T^{n-1}x) \mathrm{d}\mu(x)$ by an given amount $u$, where $F:X^n\to\mathbb{R}$ is
From playlist Probability and Statistics
Nathaël Gozlan : Ehrard’s inequality and hypercontractivity of Ornstein-Ulheinbeck semigroup
Recording during the thematic meeting : "Geometrical and Topological Structures of Information" the August 28, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent
From playlist Geometry
Joe Neeman: Gaussian isoperimetry and related topics I
The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Talagrand's convolution conjecture and geometry via coupling - James Lee
James Lee University of Washington November 10, 2014 This is joint work with Ronen Eldan. More videos on http://video.ias.edu
From playlist Mathematics
Fluctuations of FPP (Lecture 2) by Philippe Sosoe
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
Fluctuations of FPP (Lecture 2) by Philippe Sosoe
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 T
From playlist First-Passage Percolation and Related Models 2022 Edited
Lagrange Multipliers Minimum of f(x, y, z) = x^2 + y^2 + z^2 subject to x + y + z - 9 = 0
Lagrange Multipliers Minimum of f(x, y, z) = x^2 + y^2 + z^2 subject to x + y + z - 9 = 0
From playlist Calculus 3
Elizabeth Collins-Woodfin (U Michigan) -- Spherical spin glass model with external field
This talk will focus on results from a recent paper by Baik, Collins-Woodfin, Le Doussal and Wu. In the paper, we analyze the free energy and the overlaps in the 2-spin spherical Sherrington Kirkpatrick (SSK) spin glass model with an external field. Our goal is to understand the transiti
From playlist Northeastern Probability Seminar 2021
Ivan Gentil - Inégalités fonctionnelles et applications (Part 1)
Inégalités fonctionnelles et applications (Part 1)
From playlist Inter’actions en mathématiques 2015
Assimilation of observations of the solar magnetic cycle - Talagrand - Workshop 2 - CEB T4 2019
Talagrand (CNRS, FR) / 15.11.2019 Assimilation of observations of the solar magnetic cycle ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https:
From playlist 2019 - T3 - The Mathematics of Climate and the Environment
On the Ising perceptron model - Nike Sun
Marston Morse Lectures Topic: On the Ising perceptron model Speaker: Nike Sun Affiliation: Massachusetts Institute of Technology Date: April 23, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Cover Times, Blanket Times, and Majorizing Measures - James Lee
James Lee University of Washington April 12, 2010 The cover time of a graph is one of the most basic and well-studied properties of the simple random walk, and yet a number of fundamental questions concerning cover times have remained open. We show that there is a deep connection between c
From playlist Mathematics
Joe Neeman: Gaussian isoperimetry and related topics III
The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
A Non-Commutative Analog of the Metric for which the... Gradient Flow for the Entropy - Eric Carlen
Eric Carlen Rutgers, The State University of New Jersey November 13, 2012 The Fermionic Fokker-Planck equation is a quantum-mechanical analog of the classical Fokker-Planck equation with which it has much in common, such as the same optimal hypercontractivity properties. In this paper we
From playlist Mathematics