Measure-preserving dynamical system

Discrete-Time Dynamical Systems

This video shows how discrete-time dynamical systems may be induced from continuous-time systems. https://www.eigensteve.com/

From playlist Data-Driven Dynamical Systems

Review of Linear Time Invariant Systems

http://AllSignalProcessing.com for more great signal-processing content: ad-free videos, concept/screenshot files, quizzes, MATLAB and data files. Review: systems, linear systems, time invariant systems, impulse response and convolution, linear constant-coefficient difference equations

From playlist Introduction and Background

How an Equilibrium Constant varies with Temperature - Thermodynamics - Physical Chemistry

Deriving a quantitative relationship to show how an equilibrium constant varies with temperature and so showing were Le Chatelier's Principle comes from in this context. Along the way, the Gibbs-Helmholtz van't Hoff equations are derived and used. My video for deriving the thermodynamics

From playlist Introductory Thermodynamics

Evaluation 8: F-measure

F-measure is a harmonic mean of recall and precision. Think of it as accuracy, but without the effect of true negatives (which made accuracy meaningless for evaluating search algorithms). F-measure can also be interpreted as the Dice coefficient between the relevant set and the retrieved s

From playlist IR13 Evaluating Search Engines

Using Dimensional Analysis to Find the Units of a Constant

This video shows you how to use dimensional analysis to find the units for constants in physics and chemistry equations. For example, why are the units for the gravitational constant (G) newtons, meters squared over kilograms squared. Dimensional analysis in physics is an important tool t

From playlist Metric Units

VARIABLES in Statistical Research (2-1)

A variable is any characteristic that can vary. An organized collection of numbers can be a variable. Qualitative variables indicate an attribute or belongingness to a category. Dichotomous variables are discrete variables that can have two and only two values. Quantitative variables indic

From playlist Forming Variables for Statistics & Statistical Software (WK 2 - QBA 237)

Topics in Dynamical Systems: Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos

This video provides a high-level overview of dynamical systems, which describe the changing world around us. Topics include nonlinear dynamics, linearization at fixed points, eigenvalues and eigenvectors, bifurcations, invariant manifolds, and chaos!! @eigensteve on Twitter eigensteve.co

From playlist Dynamical Systems (with Machine Learning)

Thermodynamics 4c - Entropy and the Second Law III

We consider in more detail how the fundamental laws of mechanics cannot account for the irreversibility of a system. Yet we find evidence that "special" states are easily transformed into "non-special" states while transforming a non-special state into a special state requires "fine-tuning

From playlist Thermodynamics

Markus Haase : Operators in ergodic theory - Lecture 1 : Operators dynamics versus ...

Abstract : The titles of the of the individual lectures are: 1. Operators dynamics versus base space dynamics 2. Dilations and joinings 3. Compact semigroups and splitting theorems Recording during the thematic meeting : "Probabilistic Aspects of Multiple Ergodic Averages " the December 6

From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi

Corinna Ulcigrai - 1/4 Chaotic Properties of Area Preserving Flows

Flows on surfaces are one of the fundamental examples of dynamical systems, studied since Poincaré; area preserving flows arise from many physical and mathematical examples, such as the Novikov model of electrons in a metal, unfolding of billiards in polygons, pseudo-periodic topology. In

From playlist Corinna Ulcigrai - Chaotic Properties of Area Preserving Flows

Markus Haase : On some operator-theoretic aspects of ergodic theory

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 Dynamical Systems and Ordinary Differential Equations

The general case? - Amie Wilkinson

Members' Seminar Topic: The general case? Speaker: Amie Wilkinson Affiliation: University of Chicago Date: March 25, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

Quantum chaos, random matrices and statistical physics (Lecture 02) by Arul Lakshminarayan

ORGANIZERS: Abhishek Dhar and Sanjib Sabhapandit DATE: 27 June 2018 to 13 July 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the ninth in the series. This is a pedagogical school, aimed at bridging the gap between masters-level courses and topics in

From playlist Bangalore School on Statistical Physics - IX (2018)

Thermodynamic System | Open, Closed, Adiabatic, Isolated | Statistical Mechanics

In this video, we will define a thermodynamic system, in particular what kinds of thermodynamic systems there are and how they can interact with their surroundings. References: [1] Ansermet, Brechet, "Principles of Thermodynamics", Cambridge University Press (2019). Follow us on Insta

From playlist Thermodynamics, Statistical Mechanics

Geometric Representation of Structured Extensions in Ergodic Theory - Henrik Kreidler

Special Year Research Seminar Topic: Geometric Representation of Structured Extensions in Ergodic Theory Speaker: Henrik Kreidler Affiliation: Bergische Universität Wuppertal Date: March 14, 2023 The Mackey-Zimmer representation theorem is a key structural result from ergodic theory: Eve

From playlist Mathematics

Vitaly Bergelson : Potpourri of open problems and conjectures in linear dynamics and ergodic theory

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 Dynamical Systems and Ordinary Differential Equations

Ahlfors-Bers 2014 "On isomorphism and disjointness of interval exchanges and flows on flat surfaces"

Jon Chaika (University of Utah): A basic question in dynamical systems is when are two systems isomorphic. Starting from rotations of the circle and flows on tori we will talk about the fact that typical interval exchanges and flows on flat surfaces are not isomorphic. In fact, they satisf

From playlist The Ahlfors-Bers Colloquium 2014 at Yale

On a Conjecture of Veech About Möbius Orthogonality - Thierry de la Rue

Workshop on Dynamics, Discrete Analysis and Multiplicative Number Theory Topic: On a Conjecture of Veech About Möbius Orthogonality Speaker: Thierry de la Rue Affiliation: CNRS-Université de Rouen Normandie Date: February 28, 2023 In unpublished lecture notes, William A. Veech considered

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

Discovering Variables – Combining Numbers for More Powerful Statistics (1-4)

Combining numbers creates variables – values that can vary or take on more than one value. If a value can be measured among a group and that value will be different for at least some of the group members, then you are measuring a variable. You will learn about qualitative (categorical) and

From playlist WK1 Numbers and Variables - Online Statistics for the Flipped Classroom