S.Rigot - Besicovitch covering property in sub-Riemannian geometry
The Besicovitch covering property originates from works of Besicovitch about differentiation of measures in Euclidean spaces. It can more generally be used as a usefull tool to deduce global properties of a metric space from local ones. We will discuss in this talk the validity or non vali
From playlist Journées Sous-Riemanniennes 2017
Functional Analysis Lecture 26 2014 05 01 Closed Graph Theorem, Besicovitch Sets
Does every sequence of complex numbers (of vanishing modulus) arise as Fourier coefficients? No. Closed graph theorem. Besicovitch sets: definition, power sets, distance from a point to a set; delta-neighborhood of a set; Hausdorff distance between two sets.
From playlist Course 9: Basic Functional and Harmonic Analysis
Functional Analysis Lecture 27 2014 05 06 Besicovitch sets are generic
Besicovitch sets are generic
From playlist Course 9: Basic Functional and Harmonic Analysis
Universal covering spaces | Algebraic Topology | NJ Wildberger
We begin by giving some examples of the main theorem from the last lecture: that the associated homomorphism of fundamental groups associated to a covering space p:X to B injects pi(X) as a subgroup of pi(B). We look at helical coverings of a circle, and also a two-fold covering of the wed
From playlist Algebraic Topology
Analytic Geometry Over F_1 - Vladimir Berkovich
Vladimir Berkovich Weizmann Institute of Science March 10, 2011 I'll talk on work in progress on algebraic and analytic geometry over the field of one element F_1. This work originates in non-Archimedean analytic geometry as a result of a search for appropriate framework for so called skel
From playlist Mathematics
A covering of a topological space X is a topological space Y together with a continuous surjective map from X to Y that is locally bi-continuos. The infinite spiral is for example a covering of the circle. Notice how every path on the circle can be lifted to the spiral. If a coveri
From playlist Algebraic Topology
The Tempered Topology (on Berkovich Spaces)
This video introduces the tempered topology on Berkovich spaces. These constructions are used to construct Tempered Frobenioids. See Lepage's notes: https://webusers.imj-prg.fr/~emmanuel.lepage/publis/mumfordcurves.pdf
From playlist Geometry of Frobenioids
This video attempts to analyze cloud shapes and ventures into figuring out their dimensionality. The cloud analysis done in this video uses the protocol mentioned in Reference 1. Reach out to us at perceptiveproductions6@gmail.com for further queries. Script: Daksh and Richa Narration:
From playlist Summer of Math Exposition Youtube Videos
T. Toro - Geometry of measures and applications (Part 3)
In the 1920's Besicovitch studied linearly measurable sets in the plane, that is sets with locally finite "length". The basic question he addressed was whether the infinitesimal properties of the "length" of a set E in the plane yield geometric information on E itself. This simple question
From playlist Ecole d'été 2015 - Théorie géométrique de la mesure et calcul des variations : théorie et applications
T. Toro - Geometry of measures and applications (Part 5)
In the 1920's Besicovitch studied linearly measurable sets in the plane, that is sets with locally finite "length". The basic question he addressed was whether the infinitesimal properties of the "length" of a set E in the plane yield geometric information on E itself. This simple question
From playlist Ecole d'été 2015 - Théorie géométrique de la mesure et calcul des variations : théorie et applications
On The Cover Time of Random Walks on Graphs - Nathanaël Berestycki
Probability Seminar Topic: On The Cover Time of Random Walks on Graphs Speaker: Nathanaël Berestycki Affiliation: University of Vienna Date: February 3, 2023 How long does it take for a random walk to cover all the vertices of a graph? And what is the structure of the uncovered set (th
From playlist Mathematics
T. Toro - Geometry of measures and applications (Part 1)
In the 1920's Besicovitch studied linearly measurable sets in the plane, that is sets with locally finite "length". The basic question he addressed was whether the infinitesimal properties of the "length" of a set E in the plane yield geometric information on E itself. This simple question
From playlist Ecole d'été 2015 - Théorie géométrique de la mesure et calcul des variations : théorie et applications
T. Toro - Geometry of measures and applications (Part 2)
In the 1920's Besicovitch studied linearly measurable sets in the plane, that is sets with locally finite "length". The basic question he addressed was whether the infinitesimal properties of the "length" of a set E in the plane yield geometric information on E itself. This simple question
From playlist Ecole d'été 2015 - Théorie géométrique de la mesure et calcul des variations : théorie et applications
T. Toro - Geometry of measures and applications (Part 4)
In the 1920's Besicovitch studied linearly measurable sets in the plane, that is sets with locally finite "length". The basic question he addressed was whether the infinitesimal properties of the "length" of a set E in the plane yield geometric information on E itself. This simple question
From playlist Ecole d'été 2015 - Théorie géométrique de la mesure et calcul des variations : théorie et applications
Introduction to Number Theory, Part 5: Bezout's Theorem
Some corollaries to the Euclidean algorithm and Bezout's theorem are established.
From playlist Introduction to Number Theory
Kakeya's Needle Problem - Numberphile
The famed Kakeya Needle Problem, discussed by Charles Fefferman from Princeton University. More links & stuff in full description below ↓↓↓ Edit and animation by Pete McPartlan Film and interview by Brady Haran 17-gon: https://youtu.be/87uo2TPrsl8 Support us on Patreon: http://www.patre
From playlist Fields Medallists on Numberphile
Algebraic Topology 1.5 : Covering Maps and the Fundamental Group of the Circle
In this video, I introduce what covering maps are, their property of lifting maps, the construction of unique lifts of paths, and then prove that the fundamental group of the circle is isomorphic to the integers using those lifts. Translate This Video : Notes : None yet Patreon : https://
From playlist Topology