Ergodic theory | Ramsey theory

Ergodic Ramsey theory

Ergodic Ramsey theory is a branch of mathematics where problems motivated by additive combinatorics are proven using ergodic theory. (Wikipedia).

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Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics - part 5

Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl

From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi

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Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics - part 3

Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl

From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi

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Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics - part 2

Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl

From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi

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Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics - part 7

Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl

From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi

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Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics - part 1

Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl

From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi

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Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics - part 6

Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl

From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi

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Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics - part 8

Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl

From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi

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Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics- part 4

Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl

From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi

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Karma Dajani - An introduction to Ergodic Theory of Numbers (Part 3)

In this course we give an introduction to the ergodic theory behind common number expansions, like expansions to integer and non-integer bases, Luroth series and continued fraction expansion. Starting with basic ideas in ergodic theory such as ergodicity, the ergodic theorem and natural ex

From playlist École d’été 2013 - Théorie des nombres et dynamique

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1. A bridge between graph theory and additive combinatorics

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 In an unsuccessful attempt to prove Fermat's last theorem

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

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Karma Dajani - An introduction to Ergodic Theory of Numbers (Part 2)

In this course we give an introduction to the ergodic theory behind common number expansions, like expansions to integer and non-integer bases, Luroth series and continued fraction expansion. Starting with basic ideas in ergodic theory such as ergodicity, the ergodic theorem and natural ex

From playlist École d’été 2013 - Théorie des nombres et dynamique

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The Abel Prize announcement 2020 — Hillel Furstenberg & Gregory Margulis

0:50 The Abel Prize announced by Hans Petter Graver, President of The Norwegian Academy of Science and Letters 1:37 Citation by Hans Munthe-Kaas, Chair of the Abel committee 9:28 Popular presentation of the prize winners work by Alex Bellos, British writer, and science communicator 16:21 I

From playlist Gregory Margulis

Related pages

Additive combinatorics | Piecewise syndetic set | Ergodic theory | Arithmetic progression | Pál Turán | Szemerédi's theorem | Mathematics | Ramsey theory | Arithmetic combinatorics | Paul Erdős | Syndetic set | Thick set | Van der Waerden's theorem | IP set | Measure-preserving dynamical system | Natural density