Queueing theory | Markov processes

Kelly's lemma

In probability theory, Kelly's lemma states that for a stationary continuous time Markov chain, a process defined as the time-reversed process has the same stationary distribution as the forward-time process. The theorem is named after Frank Kelly. (Wikipedia).

Video thumbnail

Berge's lemma, an animated proof

Berge's lemma is a mathematical theorem in graph theory which states that a matching in a graph is of maximum cardinality if and only if it has no augmenting paths. But what do those terms even mean? And how do we prove Berge's lemma to be true? == CORRECTION: at 7:50, the red text should

From playlist Summer of Math Exposition Youtube Videos

Video thumbnail

Regularity lemma and its applications Part I - Fan Wei

Computer Science/Discrete Mathematics Seminar II Topic: Regularity lemma and its applications Part I Speaker: Fan Wei Affiliation: Member, School of Mathematics Dater: December 3, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Water and Wine

This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt

From playlist Problems, Paradoxes, and Sophisms

Video thumbnail

Linear Algebra Vignette 2a: RREF - What It's For

This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt

From playlist Linear Algebra Vignettes

Video thumbnail

Burnside's Lemma (Part 1) - combining group theory and combinatorics

A result often used in math competitions, Burnside's lemma is an interesting result in group theory that helps us count things with symmetries considered, e.g. in some situations, we don't want to count things that can be transformed into one another by rotation different, like in this cas

From playlist Traditional topics, explained in a new way

Video thumbnail

Linear Algebra Vignette 3h: Easy Eigenvalues - The Grand Finale

This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt

From playlist Linear Algebra Vignettes

Video thumbnail

On the Hitchin fibration for algebraic surfaces

Distinguished Visitor Lecture Series On the Hitchin fibration for algebraic surfaces Ngô Bảo Châu The University of Chicago, USA and Vietnam Institute for Advanced Study in Mathematics, Vietnam

From playlist Distinguished Visitors Lecture Series

Video thumbnail

Alan Sola: Clark measures for rational inner functions

HYBRID EVENT Recorded during the meeting "Frontiers of Operator Theory" the November 30, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovis

From playlist Analysis and its Applications

Video thumbnail

Probability on Kazhdan Groups (Lecture 1) by Gábor Pete

PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, India), Anish Ghosh (TIFR, Mumbai, India), Subhajit Goswami (TIFR, Mumbai, India) and Mahan M J (TIFR, Mumbai, India) DATE & TIME: 27 February 2023 to 10 March 2023 VENUE: Madhava Lecture Hall

From playlist PROBABILISTIC METHODS IN NEGATIVE CURVATURE - 2023

Video thumbnail

Non-amenable groups admitting no sofic approximation by expander graphs - Gabor Kun

Stability and Testability Topic: Non-amenable groups admitting no sofic approximation by expander graphs Speaker: Gabor Kun Affiliation: Alfréd Rényi Institute of Mathematics Date: February 10, 2021 For more video please visit http://video.ias.edu

From playlist Stability and Testability

Video thumbnail

Unterschied Theorem, Lemma und Korollar? Was sind Axiome? | Die Matrix der Mathematik

Wir setzten die Begriffe Definition, Axiom, Satz, und Beweis in einen gemeinsamen Kontext. Außerdem klären wir die Unterschiede zwischen Theorem, Lemma und Korollar. In diesem Video sehen wir uns Mathematik aus der Metaperspektive an. Du wirst sehen: Die Basis mathematischen Arbeitens ist

From playlist Summer of Math Exposition Youtube Videos

Video thumbnail

Jeroen Schillewaert: Constructing highly regular expanders from hyperbolic Coxeter groups

Thursday 17 November 2022 Jeroen Schillewaert, University of Auckland Abstract: Given a string Coxeter system (W,S), we construct highly regular quotients of the 1-skeleton of its universal polytope P, which form an infinite family of expander graphs when (W,S) is indefinite and P has fin

From playlist SMRI Seminars

Video thumbnail

Burnside's Lemma (Part 2) - combining math, science and music

Part 1 (previous video): https://youtu.be/6kfbotHL0fs Orbit-stabilizer theorem: https://youtu.be/BfgMdi0OkPU Burnside's lemma is an interesting result in group theory that helps us count things with symmetries considered, e.g. in some situations, we don't want to count things that can be

From playlist Traditional topics, explained in a new way

Video thumbnail

Visual Group Thoery, Lecture 5.5: p-groups

Visual Group Thoery, Lecture 5.5: p-groups Before we can introduce the Sylow theorems, we need to develop some theory about groups of prime power order, which we call p-groups. In this lecture, we show that the number of fixed point of a p-group acting on a set S is congruent modulo p to

From playlist Visual Group Theory

Video thumbnail

Probability on Kazhdan Groups (Lecture 4) by Gábor Pete

PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, India), Anish Ghosh (TIFR, Mumbai, India), Subhajit Goswami (TIFR, Mumbai, India) and Mahan M J (TIFR, Mumbai, India) DATE & TIME: 27 February 2023 to 10 March 2023 VENUE: Madhava Lecture Hall

From playlist PROBABILISTIC METHODS IN NEGATIVE CURVATURE - 2023

Video thumbnail

Describing Functions (Discrete Math)

This video covered the various ways to describe functions in a discrete math class.

From playlist Functions (Discrete Math)

Video thumbnail

Linear Algebra Vignette 3b: Easy Eigenvalues - Diagonal Entry

This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt

From playlist Linear Algebra Vignettes

Video thumbnail

Live CEOing Ep 336: Language Design in Wolfram Language

In this episode of Live CEOing, Stephen Wolfram discusses the language design of Wolfram Language functions. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram here: ht

From playlist Behind the Scenes in Real-Life Software Design

Video thumbnail

7. Szemerédi's graph regularity lemma II: triangle removal lemma

MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX Continuing the discussion of Szemerédi's graph regularity

From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019

Video thumbnail

Formal Definition of a Function using the Cartesian Product

Learning Objectives: In this video we give a formal definition of a function, one of the most foundation concepts in mathematics. We build this definition out of set theory. **************************************************** YOUR TURN! Learning math requires more than just watching vid

From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)

Related pages

Probability theory | Transition rate matrix