Manifolds | Sobolev spaces | Homotopy theory | Maps of manifolds

Sobolev mapping

In mathematics, a Sobolev mapping is a mapping between manifolds which has smoothness in some sense. Sobolev mappings appear naturally in manifold-constrained problems in the calculus of variations and partial differential equations, including the theory of harmonic maps. (Wikipedia).

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Applying the Mandelbrot mapping to the top bulb

Source code: https://github.com/timhutton/mandelstir The Mandelbrot z^2+c mapping is applied to every point in the circle to the top of the main cardioid, with linear interpolation between iterations to show how the points move. Points in this region fall into period-3 orbits. The backgrou

From playlist mandelstir

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Simulink Basics - A Practical Look

Watch live as Ed Marquez and Connell D’Souza walk through the fundamentals of using Simulink. This session isn’t just for beginners; we’ll show you the latest and greatest tips and tricks to help you get the most out of Simulink. We’ll also walk through core concepts for things like system

From playlist MATLAB and Simulink Livestreams

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Getting Started with Simulink

This video tutorial outlines how to get started using Simulink. In this video we will cover topics such as: -What is Simulink -How to perform simple calculations in Simulink -Using various blocks in Simulink -Implementing a simple algorithm in Simulink This requires no prior experience

From playlist Working with Matlab

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Linear Transformations: Onto

Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.

From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics

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How I Use Simulink

This video I created to Simulink Student Challenge contest.

From playlist Simulink Student Challenge 2012 Entries

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Riemannian Exponential Map on the Group of Volume-Preserving Diffeomorphisms - Gerard Misiolek

Gerard Misiolek University of Notre Dame; Institute for Advanced Study October 19, 2011 In 1966 V. Arnold showed how solutions of the Euler equations of hydrodynamics can be viewed as geodesics in the group of volume-preserving diffeomorphisms. This provided a motivation to study the geome

From playlist Mathematics

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Mandelbulbs: the search for a 3D Mandelbrot Fractal

Follow Tom on his journey to Delft in the Netherlands in his quest to find a 3D Mandelbrot Set, otherwise known as a 'Mandelbulb'. We begin with a discussion of the definition of a fractal, with examples from the natural world, as well as generating our very own in the form of the Koch Sn

From playlist Director's Cut

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Jean-Luc Thiffeault: "On mix-norms and the rate of decay of correlations"

Transport and Mixing in Complex and Turbulent Flows 2021 "On mix-norms and the rate of decay of correlations" Jean-Luc Thiffeault - University of Wisconsin-Madison, Mathematics Abstract: Two quantitative notions of mixing are the decay of correlations and the decay of a mix-norm --- a ne

From playlist Transport and Mixing in Complex and Turbulent Flows 2021

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Stirring the Mandelbrot - HD version

http://code.google.com/p/mandelstir/

From playlist mandelstir

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Applying the Mandelbrot mapping: inside the set is green, outside is red

Source code: https://github.com/timhutton/mandelstir The Mandelbrot z^2+c mapping is applied to every point in the radius-2 disk, with linear interpolation between iterations to show how the points move. Points that belong to the Mandelbrot set are colored in green, while those outside are

From playlist mandelstir

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Thomas KAPPELER - Analytic extensions of frequencies of integrable PDEs and applications

In form of a case study for the mKdV and the KdV2 equation we discuss a novel approach of representing frequencies of integrable PDEs which allows to extend them analytically to spaces of low regularity and to study their asymptotics. Applications include properties of the actions to frequ

From playlist Trimestre "Ondes Non linéaires" - June Conference

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Liangbing Luo (U Conn) -- Logarithmic Sobolev Inequalities on Non-isotropic Heisenberg Groups

A Heisenberg group is the simplest non-trivial example of a sub-Riemannian manifold. In this talk, we will discuss the dimension (in)dependence of the constants in logarithmic Sobolev inequalities on non-isotropic Heisenberg groups. In this setting, a natural Laplacian is not an elliptic b

From playlist Northeastern Probability Seminar 2020

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Chris WENDL - 2/3 Classical transversality methods in SFT

In this talk I will discuss two transversality results that are standard but perhaps not so widely understood: (1) Dragnev's theorem that somewhere injective curves in symplectizations are regular for generic translation-invariant J, and (2) my theorem on automatic transversality in 4-dime

From playlist 2015 Summer School on Moduli Problems in Symplectic Geometry

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Applying the Mandelbrot mapping to the main cardioid

Source code: https://github.com/timhutton/mandelstir The Mandelbrot z^2+c mapping is applied to every point in the main cardioid, with linear interpolation between iterations to show how the points move. The final result seems almost evenly spread over the radius 0.5 disk centered at the o

From playlist mandelstir

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Concentration of quantum states from quantum functional (...) - N. Datta - Workshop 2 - CEB T3 2017

Nilanjana Datta / 24.10.17 Concentration of quantum states from quantum functional and transportation cost inequalities Quantum functional inequalities (e.g. the logarithmic Sobolev- and Poincaré inequalities) have found widespread application in the study of the behavior of primitive q

From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester

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Flows of vector fields: classical and modern - Camillo DeLellis

Analysis Seminar Topic: Flows of vector fields: classical and modern Speaker: Camillo DeLellis Affiliation: Faculty, School of Mathematics; IBM von Neumann Professor, School of Mathematics Date: April 13, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Miroslav Englis: Analytic continuation of Toeplitz operators

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Analysis and its Applications

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Repulsive Shape Optimization

In visual computing, point locations are often optimized using a "repulsive" energy, to obtain a nice uniform distribution for tasks ranging from image stippling to mesh generation to fluid simulation. But how do you perform this same kind of repulsive optimization on curves and surfaces?

From playlist Repulsive Videos

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Stirring the Mandelbrot Set: a checkerboard

http://code.google.com/p/mandelstir/

From playlist mandelstir

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Anthony Nouy: Approximation and learning with tree tensor networks - Lecture 2

Recorded during the meeting "Data Assimilation and Model Reduction in High Dimensional Problems" the July 21, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Luca Récanzone A kinetic description of a plasma in external and self-consistent fiel

From playlist Numerical Analysis and Scientific Computing

Related pages

Nash embedding theorems | Trace operator | Manifold | Metric space | Covering space | Obstruction theory | Harmonic map | Calculus of variations | Riemannian manifold | Smoothness | Partial differential equation | Triangulation (topology) | Simply connected space