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
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
Measure Theory - Part 7 - Monotone convergence theorem (and more)
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From playlist Measure Theory
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
Measure Theory - Part 8 - Monotone convergence theorem (Proof and application)
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From playlist Measure Theory
Fubini's Theorem (Measure Theory Part 19)
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From playlist Measure Theory
Time Change for Unipotent Flows and Rigidity - Elon Lindenstrauss
Special Program Learning Seminar Topic: Time Change for Unipotent Flows and Rigidity Speaker: Elon Lindenstrauss Affiliation: The Hebrew University of Jerusalem Date: September 21, 2022 Two flows are said to be Kakutani equivalent if one is isomorphic to the other after time change, or e
From playlist Mathematics
Radon–Nikodym theorem and Lebesgue's decomposition theorem (Measure Theory Part 14)
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From playlist Measure Theory
Yuval Peres - Breaking barriers in probability
http://www.lesprobabilitesdedemain.fr/index.html Organisateurs : Céline Abraham, Linxiao Chen, Pascal Maillard, Bastien Mallein et la Fondation Sciences Mathématiques de Paris
From playlist Les probabilités de demain 2016
Lecture 17: Existence of Equilibria
MIT 14.04 Intermediate Microeconomic Theory, Fall 2020 Instructor: Prof. Robert Townsend View the complete course: https://ocw.mit.edu/courses/14-04-intermediate-microeconomic-theory-fall-2020/ YouTube Playlist: https://www.youtube.com/watch?v=XSTSfCs74bg&list=PLUl4u3cNGP63wnrKge9vllow3Y2
From playlist MIT 14.04 Intermediate Microeconomic Theory, Fall 2020
Equidistribution of Unipotent Random Walks on Homogeneous spaces by Emmanuel Breuillard
PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis
From playlist Ergodic Theory and Dynamical Systems 2022
Carathéodory's extension theorem (Measure Theory Part 12)
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From playlist Measure Theory
Yakov Sinai: Now everything has been started? The origin of deterministic chaos
Abstract: The theory of deterministic chaos studies statistical properties of solutions of non-linear equations and has many applications. The appearance of these properties is connected with intrinsic instability of dynamics. This lecture was held by Abel Laureate Yakov Grigorevich Sina
From playlist Abel Lectures
What is the max and min of a horizontal line on a closed interval
👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points
From playlist Extreme Value Theorem of Functions
Matthias Liero: On entropy transport problems and the Hellinger Kantorovich distance
In this talk, we will present a general class of variational problems involving entropy-transport minimization with respect to a couple of given finite measures with possibly unequal total mass. These optimal entropy-transport problems can be regarded as a natural generalization of classic
From playlist HIM Lectures: Follow-up Workshop to JTP "Optimal Transportation"
Corinna Ulcigrai - 3/4 Chaotic Properties of Area Preserving Flows
Flows on surfaces are one of the fundamental examples of dynamical systems, studied since Poincaré; area preserving flows arise from many physical and mathematical examples, such as the Novikov model of electrons in a metal, unfolding of billiards in polygons, pseudo-periodic topology. In
From playlist Corinna Ulcigrai - Chaotic Properties of Area Preserving Flows
John Nash - The Abel Prize interview 2015
0:00 Introduction, reaction to the award 01:37 Talent, encouragement, early years 03:12 E T Bell's Men of Mathematics 03:20 Princeton, atmosphere, competition 04:15 Game theory, Nash (the game), games 06:06 Equilibria in games, Fixed Point theorems 07:20 The Nobel, Beautiful Mind (film) 08
From playlist John F. Nash Jr.
Hillel Furstenberg - The Abel Prize interview 2020
00:00 Congratulations 00:30 Furstenberg tells us about his childhood and his love for mathematics 03:20 Enjoying problem-solving challenges 05:44 Being an undergraduate student at Yeshiva College and his paper "on the infinitude of primes" 08:27 PhD thesis at Princeton University proving
From playlist The Abel Prize Interviews
Xavier Tolsa: The weak-A∞ condition for harmonic measure
Abstract: The weak-A∞ condition is a variant of the usual A∞ condition which does not require any doubling assumption on the weights. A few years ago Hofmann and Le showed that, for an open set Ω⊂ℝn+1 with n-AD-regular boundary, the BMO-solvability of the Dirichlet problem for the Laplace
From playlist Analysis and its Applications
In this video, I explain function space and how to change the basis vectors we use to describe function. This lead us to a different understanding of Taylor series, Fourier series and most series. I also explain the Heisenberg uncertainty principle using function space. Additionnal video
From playlist Summer of Math Exposition Youtube Videos