Lebesgue covering dimension
In mathematics, the Lebesgue covering dimension or topological dimension of a topological space is one of several different ways of defining the dimension of the space in atopologically invariant way. (Wikipedia).
In mathematics, the Lebesgue covering dimension or topological dimension of a topological space is one of several different ways of defining the dimension of the space in atopologically invariant way. (Wikipedia).
Measure Theory 2.1 : Lebesgue Outer Measure
In this video, I introduce the Lebesgue outer measure, and prove that it is, in fact, an outer measure. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Measure Theory
Measure Theory 2.2 : Lebesgue Measure of the Intervals
In this video, I prove that the Lebesgue measure of [a, b] is equal to the Lebesgue measure of (a, b) is equal to b - a. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Measure Theory
algebraic geometry 14 Dimension
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the dimension of a topological space, algebraic set, or ring.
From playlist Algebraic geometry I: Varieties
Space-Filling Curves (3 of 4: Lebesgue Curve)
More resources available at www.misterwootube.com
From playlist Exploring Mathematics: Fractals
In this video, I present an overview (without proofs) of the Lebesgue integral, which is a more general way of integrating a function. If you'd like to see proods of the statements, I recommend you look at fematika's channel, where he gives a more detailed look of the Lebesgue integral. In
From playlist Real Analysis
Chapter 1 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.
From playlist Dimensions
Chapter 5 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.
From playlist Dimensions
Observable events" and "typical trajectories" in...dynamical systems - Lai-Sang Young
Analysis Seminar Topic: Observable events" and "typical trajectories" in finite and infinite dimensional dynamical systems Speaker: Lai-Sang Young Affiliation: New York University; Distinguished Visiting Professor, School of Mathematics and Natural Sciences Date: February 24, 2020 For mo
From playlist Mathematics
Measure Theory 2.3 : Open and Closed Inervals are Lebesgue Measurable
In this video, I prove that the open and closed intervals (a, b) and [a, b] (as well as [a, b) and (a, b]) are in fact Lebesgue measurable, and thus validating the previous video in this series. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Measure Theory
STPM - The Spectrum of the Critical Almost Mathieu Operator - Mira Shamis
Mira Shamis Institute for Advanced Study September 29, 2010 For more videos, visit http://video.ias.edu
From playlist Mathematics
R. Ghezzi - Volume measures in non equiregular sub-Riemannian manifolds
In this talk we study the Hausdorff volume in a non equiregular sub-Riemannian manifold and we compare it to a smooth volume. First we give the Lebesgue decomposition of the Hausdorff volume. Then we focus on the regular part, show that it is not commensurable with a smooth volume and give
From playlist Journées Sous-Riemanniennes 2017
Emanuel Milman: 1 D Localization part 1
The lecture was held within the framework of the Hausdorff Trimester Program: Optimal Transportation and the Workshop: Winter School & Workshop: New developments in Optimal Transport, Geometry and Analysis
From playlist HIM Lectures 2015
Uniform rectifiability via perimeter minimization III - Tatiana Toro
Women and Mathematics: Terng Lecture Course Topic: Uniform rectifiability via perimeter minimization III Speaker: Tatiana Toro Affiliation: University of Washington Date: May 23, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Dynamical systems, fractals and diophantine approximations – Carlos Gustavo Moreira – ICM2018
Plenary Lecture 6 Dynamical systems, fractal geometry and diophantine approximations Carlos Gustavo Moreira Abstract: We describe in this survey several results relating Fractal Geometry, Dynamical Systems and Diophantine Approximations, including a description of recent results related
From playlist Plenary Lectures
V. Franceschi - Sub-riemannian soap bubbles
The aim of this seminar is to present some results about minimal bubble clusters in some sub-Riemannian spaces. This amounts to finding the best configuration of m ∈ N regions in a manifold enclosing given volumes, in order to minimize their total perimeter. In a n-dimensional sub-Riemanni
From playlist Journées Sous-Riemanniennes 2018
Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - D.Voiculescu
Dan Voiculescu (UC Berkeley) / 15.09.17 Title: The Macaev operator norm, entropy and supramenability. Abstract: On the (p,1) Lorentz scale of normed ideals of compact operators, the Macaev ideal is the end at infinity. From a perturbation point of view the Macaev ideal is related to ent
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
Plamen Turkedjiev: Least squares regression Monte Carlo for approximating BSDES and semilinear PDES
Abstract: In this lecture, we shall discuss the key steps involved in the use of least squares regression for approximating the solution to BSDEs. This includes how to obtain explicit error estimates, and how these error estimates can be used to tune the parameters of the numerical scheme
From playlist Probability and Statistics
Chapter 6 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.
From playlist Dimensions
Fractals are typically not self-similar
An explanation of fractal dimension. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: https://3b1b.co/fractals-thanks And by Affirm: https://www.affirm.com/careers H
From playlist Explainers
S. Filip - K3 surfaces and Dynamics (Part 3)
K3 surfaces provide a meeting ground for geometry (algebraic, differential), arithmetic, and dynamics. I hope to discuss: - Basic definitions and examples - Geometry (algebraic, differential, etc.) of complex surfaces - Torelli theorems for K3 surfaces - Dynamics on K3s (Cantat, McMullen)
From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications