Complex analysis | Types of functions | Dynamical systems

Koenigs function

In mathematics, the Koenigs function is a function arising in complex analysis and dynamical systems. Introduced in 1884 by the French mathematician Gabriel Koenigs, it gives a canonical representation as dilations of a univalent holomorphic mapping, or a semigroup of mappings, of the unit disk in the complex numbers into itself. (Wikipedia).

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Koopman Spectral Analysis (Representations)

In this video, we explore how to obtain finite-dimensional representations of the Koopman operator from data, using regression. This includes the use of sparse regression and neural networks, and highlights the importance of cross-validating. https://www.eigensteve.com/

From playlist Koopman Analysis

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Koopman Spectral Analysis (Multiscale systems)

In this video, we discuss recent applications of data-driven Koopman theory to multi-scale systems. arXiv paper: https://arxiv.org/abs/1805.07411 https://www.eigensteve.com/

From playlist Koopman Analysis

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Koopman Spectral Analysis (Control)

In this video, we explore extensions of Koopman theory for control systems. Much of the excitement and promise of Koopman operator theory is centered around the ability to represent nonlinear systems in a linear framework, opening up the potential use of linear estimation and control tech

From playlist Koopman Analysis

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Koopman Spectral Analysis (Continuous Spectrum)

In this video, we discuss how to use Koopman theory for dynamical systems with a continuous eigenvalue spectrum. These systems are quite common, such as a pendulum, where the period deforms continuously as energy is added to the system. To handle these systems, we use a neural network a

From playlist Koopman Analysis

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(ML 19.5) Positive semidefinite kernels (Covariance functions)

Definition of a positive semidefinite kernel, or covariance function. A simple example. Explanation of terminology: autocovariance, positive definite kernel, stationary kernel, isotropic kernel, covariogram, positive definite function.

From playlist Machine Learning

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How Objective Is The Law? Serial: Part 1 | Idea Channel | PBS Digital Studios

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateidea Tweet us! http://bit.ly/pbsideachanneltwitter Idea Channel Facebook! http://bit.ly/pbsideachannelfacebook Talk about this episode on reddit! http://bit.ly/pbsideachanne

From playlist Newest Episodes

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Les conférences de l'inauguration

Accueil - Thierry Gallay Qui était Joseph Fourier ? - Hervé Pajot La création de l’université de Grenoble : Fourier, Champollion… - René Favier Démonstration de l’analyseur de spectre de Koenig (1905) - Coriandre Vilain

From playlist 250 ans Joseph Fourier

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I. Chalendar - Sur les pas de Gabriel Koenigs

Sur les pas de Gabriel Koenigs : spectre des opérateurs de composition sur l’espace de Fréchet des fonctions holomorphes sur le disque unité Étant donnée une application holomorphe f du disque unité ouvert D dans lui-même, on considère T, l’opérateur de composition par f, qui est une

From playlist Rencontres du GDR AFHP 2019

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(ML 19.1) Gaussian processes - definition and first examples

Definition of a Gaussian process. Elementary examples of Gaussian processes.

From playlist Machine Learning

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Mass Rally (1967)

No title - Mass rally, demonstration of French support for Israel in Middle East dispute. Paris, France. Top shot mass crowds outside the Israeli Embassy, Paris, carrying banners. Top shot people carrying banners proclaiming support for the Israelis. M/S of the Jewish flag outside the

From playlist Johnny Hallyday (aka Halliday) | British Pathé

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Beyond Belief: Science, Religion, Reason and Survival - Session 10

http://www.thesciencenetwork.org Beyond Belief: Science, Religion, Reason and Survival, the first of The Science Network's annual Beyond Belief symposia, held from November 5 to November 7, 2006, was described by the New York Times, as "a free-for-all on science and religion," which seeme

From playlist Beyond Belief 2006 : Religion, Reason and Survival

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Should Journalism Be Objective? Serial: Part 2 | Idea Channel | PBS Digital Studios

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateidea Tweet us! http://bit.ly/pbsideachanneltwitter Idea Channel Facebook! http://bit.ly/pbsideachannelfacebook Talk about this episode on reddit! http://bit.ly/pbsideachanne

From playlist Newest Episodes

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You'd Never Guess What an Acorn Woodpecker Eats | Deep Look

OK. Maybe you would. But the lengths they have to go to to stock up for the winter *will* surprise you. When you see how carefully they arrange each acorn, you might just need to reorganize your pantry. You can learn more about CuriosityStream at https://curiositystream.com/deeplook. Joi

From playlist Deep Look | Series | KQED

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Benjamin DODSON - Cubic nonlinear wave equation

In this talk we will discuss some recent results regarding global well -posedness and scattering for the cubic, radial wave equation in three dimensions. Both type one and type two blowup will be discussed.

From playlist Trimestre "Ondes Non linéaires" - June Conference

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Benjamin Dodson: Conditional global existence and scattering for ...

... radial semi-linear super - critical wave equations The lecture was held within the framework of the Hausdorff Trimester Program Harmonic Analysis and Partial Differential Equations. 17.7.2014

From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"

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Waves 6_2 Doppler Effect

Solution to problems dealing with the Doppler effect.

From playlist Physics - Waves

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Waves 6_3 Doppler Effect

Solution to problems dealing with the Doppler effect.

From playlist Physics - Waves

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Winding for Wave Maps - Max Engelstein

Analysis Seminar Topic: Winding for Wave Maps Speaker: Max Engelstein Affiliation: University of Minnesota Date: June 1, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

Related pages

Möbius transformation | Hurwitz's theorem (complex analysis) | Compact space | Iterated function | Star domain | Complex analysis | Mathematics | Schwarz lemma | Weierstrass M-test | Schröder's equation | Unit disk | Univalent function | Semigroup | Holomorphic function