In dynamical systems, a branch of mathematics, a structure formed from the stable manifold and unstable manifold of a fixed point. (Wikipedia).
Homophily Solution - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Homomorphisms in abstract algebra
In this video we add some more definition to our toolbox before we go any further in our study into group theory and abstract algebra. The definition at hand is the homomorphism. A homomorphism is a function that maps the elements for one group to another whilst maintaining their structu
From playlist Abstract algebra
Introduction to Homotopy Theory- PART 1: UNIVERSAL CONSTRUCTIONS
The goal of this series is to develop homotopy theory from a categorical perspective, alongside the theory of model categories. We do this with the hope of eventually developing stable homotopy theory, a personal goal a passion of mine. I'm going to follow nLab's notes, but I hope to add t
From playlist Introduction to Homotopy Theory
Group Homomorphisms - Abstract Algebra
A group homomorphism is a function between two groups that identifies similarities between them. This essential tool in abstract algebra lets you find two groups which are identical (but may not appear to be), only similar, or completely different from one another. Homomorphisms will be
From playlist Abstract Algebra
Introduction to Homotopy Theory- Part 5- Transition to Abstract Homotopy Theory
Credits: nLab: https://ncatlab.org/nlab/show/Introdu... Animation library: https://github.com/3b1b/manim Music: ► Artist Attribution • Music By: "KaizanBlu" • Track Name: "Remember (Extended Mix)" • YouTube Track Link: https://bit.ly/31Ma5s0 • Spotify Track Link: https://spoti.fi/
From playlist Introduction to Homotopy Theory
Homomorphisms (Abstract Algebra)
A homomorphism is a function between two groups. It's a way to compare two groups for structural similarities. Homomorphisms are a powerful tool for studying and cataloging groups. Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W ♦♦♦♦♦♦♦♦♦♦ W
From playlist Abstract Algebra
Arnold diffusion and Mather theory - Ke Zhang
Emerging Topics Working Group Topic: Arnold diffusion and Mather theory Speaker: Ke Zhang Affiliation: University of Toronto Date: April 11, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Lecture 5: Periodic and cyclic homology
In this video, we construct periodic and cyclic homology and compute examples. Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture Homepage with further information: https://www.uni-muenster.de/IVV5WS/WebHop/user
From playlist Topological Cyclic Homology
Minimality and stable ergodicity by Jana Rodriguez Hertz
PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.
From playlist Smooth And Homogeneous Dynamics
Martin Lo (10/21/20): The topology of the 3 body problem & space
Title: The topology of the 3 body problem & space The seminal work of Charles Conley in the 1960s on the topological structure of invariant manifolds in the Circular Restricted 3 Body Problem (CR3BP) continues to have a profound influence today on the design of space missions and our unde
From playlist AATRN 2020
Ville Salo: Nilpotent endomorphisms of expansive group actions
We say a pointed dynamical system is asymptotically nilpotent if every point tends to zero. We study group actions whose endomorphism actions are nilrigid, meaning that for all asymptotically nilpotent endomorphisms the convergence to zero is uniform. We show that this happens for a large
From playlist Dynamical Systems and Ordinary Differential Equations
The Inner Equation for Generalized Standard Maps - Pau Martin
Pau Martin Universitat Poliecnica de Catalunya, Barcelona, Spain February 15, 2012 We study particular solutions of the "inner equation" associated to the splitting of separatrices on "generalized standard maps". An exponentially small complete expression for their difference is obtained.
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
Homoclinic classes and equilibrium states (Lecture 1) by Sylvain Crovisier
PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.
From playlist Smooth And Homogeneous Dynamics
Boundary dynamics for surface homeomorphisms – Andres Koropecki & Meysam Nassiri – ICM2018
Dynamical Systems and Ordinary Differential Equations Invited Lecture 9.12 Boundary dynamics for surface homeomorphisms Andres Koropecki & Meysam Nassiri Abstract: We discuss some aspects of the topological dynamics of surface homeomorphisms. In particular, we survey recent results about
From playlist Dynamical Systems and ODE
Diffusion along chains of normally hyperbolic cylinders - Marian Gidea
Emerging Topics Working Group Topic: Diffusion along chains of normally hyperbolic cylinders Speaker: Marian Gidea Affiliation: Yeshiva University Date: April 11, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Homotopy type theory: working invariantly in homotopy theory -Guillaume Brunerie
Short talks by postdoctoral members Topic: Homotopy type theory: working invariantly in homotopy theory Speaker: Guillaume Brunerie Affiliation: Member, School of Mathematics Date: September 26, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Homotopy Group - (1)Dan Licata, (2)Guillaume Brunerie, (3)Peter Lumsdaine
(1)Carnegie Mellon Univ.; Member, School of Math, (2)School of Math., IAS, (3)Dalhousie Univ.; Member, School of Math April 11, 2013 In this general survey talk, we will describe an approach to doing homotopy theory within Univalent Foundations. Whereas classical homotopy theory may be des
From playlist Mathematics
Lecture 14: The Definition of TC
In this video, we finally give the definition of topological cyclic homology. In fact, we will give two definitions: the first is abstract in terms of a mapping spectrum spectrum in cyclotomic spectra and then we unfold this to a concrete definition on terms of negative topological cyclic
From playlist Topological Cyclic Homology
Arnold Diffusion by Variational Methods III - John Mather
John Mather Princeton University; Institute for Advanced Study November 9, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics