Exact dimension of Oseledets measures by Francois Ledrappier
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
Fun with lists, multisets + sets II | Data structures in Mathematics Math Foundations 153
In this video we look at ordered sets, or osets: the second of our organizing data structures for mathematics. Again we begin with a very focussed and careful set-up so that there is no possibility of ambiguity: k-osets from n, where the objects are always natural numbers from 1 to n, and
From playlist Math Foundations
Isosceles Triangle Theorem: Dynanic Desmos Illustrator
Isosceles triangle theorem animation & explorer made in #Desmos. https://teacher.desmos.com/activitybuilder/custom/60742b18afd8ae0d274b6efb #MTBoS #ITeachMath #math
From playlist Desmos Activities, Illustrations, and How-To's
Ivan Oseledets: QTT FEM solvers for elliptic multiscale problems
The lecture was held within the framework of the Hausdorff Trimester Program Multiscale Problems: Workshop on Numerical Inverse and Stochastic Homogenization. (15.02.2017) The idea of using tensors in the context of multi scale problems is very simple: 1. Discretize the problem using low-
From playlist HIM Lectures: Trimester Program "Multiscale Problems"
Ivan Oseledets: "Tensor-train decomposition and its applications in machine learning"
Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop II: Tensor Network States and Applications "Tensor-train decomposition and its applications in machine learning" Ivan Oseledets - Skolkovo Institute of Science and Technology Abstract: In this talk I
From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021
Lyapunov exponents of linear surface group representations (Lecture 01) by Bertrand Deroin
DISCUSSION MEETING SURFACE GROUP REPRESENTATIONS AND PROJECTIVE STRUCTURES ORGANIZERS: Krishnendu Gongopadhyay, Subhojoy Gupta, Francois Labourie, Mahan Mj and Pranab Sardar DATE: 10 December 2018 to 21 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore The study of spaces o
From playlist Surface group representations and Projective Structures (2018)
Positive Lyapunov exponents and mixing in stochastic fluid flow. Part II - Elia Bruè
Topics in Analysis Topic: Positive Lyapunov exponents and mixing in stochastic fluid flow. Part II Speaker: Elia Bruè Affiliation: Member, School of Mathematics Date: April 28, 2022 In this three-part lecture series, we will present a series of works by Bedrossian, Blumenthal and Punsho
From playlist Mathematics
Lyapunov exponents, from the 1960's to the 2020's by Marcelo Viana
DISTINGUISHED LECTURES LYAPUNOV EXPONENTS, FROM THE 1960'S TO THE 2020'S SPEAKER: Marcelo Viana (IMPA, Brazil) DATE: 24 September 2019, 16:00 to 17:30 VENUE: Ramanujan Lecture Hall The ergodic theory of Lyapunov exponents, initiated by the work of Furstenberg and Kesten at the dawn of
From playlist DISTINGUISHED LECTURES
The SL (2, R) action on spaces of differentials (Lecture 02) by Jayadev Athreya
DISCUSSION MEETING SURFACE GROUP REPRESENTATIONS AND PROJECTIVE STRUCTURES ORGANIZERS: Krishnendu Gongopadhyay, Subhojoy Gupta, Francois Labourie, Mahan Mj and Pranab Sardar DATE: 10 December 2018 to 21 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore The study of spaces o
From playlist Surface group representations and Projective Structures (2018)
André JOYAL - 2/4 A crash course in topos theory : the big picture
I will sketch an overall picture of topos theory and of the theory of locales. It includes the notion of sheaf on a site, the notion of forcing topology, of geometric morphism and Giraud's theorem. A useful principle is that a topos is a commutative ring-like object. Every topos is a quoti
From playlist Topos à l'IHES
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
André JOYAL - 3/4 A crash course in topos theory : the big picture
I will sketch an overall picture of topos theory and of the theory of locales. It includes the notion of sheaf on a site, the notion of forcing topology, of geometric morphism and Giraud's theorem. A useful principle is that a topos is a commutative ring-like object. Every topos is a quoti
From playlist Topos à l'IHES
Fundamentals of Mathematics - Lecture 26: Well-Definedness
course page: https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html videography - Eric Melton, UVM
From playlist Fundamentals of Mathematics
André JOYAL - 4/4 A crash course in topos theory : the big picture
I will sketch an overall picture of topos theory and of the theory of locales. It includes the notion of sheaf on a site, the notion of forcing topology, of geometric morphism and Giraud's theorem. A useful principle is that a topos is a commutative ring-like object. Every topos is a quoti
From playlist Topos à l'IHES
Set Theory (Part 2): ZFC Axioms
Please feel free to leave comments/questions on the video and practice problems below! In this video, I introduce some common axioms in set theory using the Zermelo-Fraenkel w/ choice (ZFC) system. Five out of nine ZFC axioms are covered and the remaining four will be introduced in their
From playlist Set Theory by Mathoma
Lie groups: Poincare-Birkhoff-Witt theorem
This lecture is part of an online graduate course on Lie groups. We state the Poincare-Birkhoff Witt theorem, which shows that the universal enveloping algebra (UEA) of a Lie algebra is the same size as a polynomial algebra. We prove it for Lie algebras of Lie groups and sketch a proof of
From playlist Lie groups
Calculus 1 (Stewart) Ep 22, Mean Value Theorem (Oct 28, 2021)
This is a recording of a live class for Math 1171, Calculus 1, an undergraduate course for math majors (and others) at Fairfield University, Fall 2021. The textbook is Stewart. PDF of the written notes, and a list of all episodes is at the class website. Class website: http://cstaecker.f
From playlist Math 1171 (Calculus 1) Fall 2021
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
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
What is Green's theorem? Chris Tisdell UNSW
This lecture discusses Green's theorem in the plane. Green's theorem not only gives a relationship between double integrals and line integrals, but it also gives a relationship between "curl" and "circulation". In addition, Gauss' divergence theorem in the plane is also discussed, whic
From playlist Vector Calculus @ UNSW Sydney. Dr Chris Tisdell