Search for tag: "school of mathematics"

Rafael de la Llave - An introduction to KAM theory II: The twist theorem

The KAM (Kolmogorov Arnold and Moser) theory studies the persistence of quasi-periodic solutions under perturbations. It started from a basic set of theorems and it has grown into a systematic…

From  Kathryn Gentilello on May 31st, 2019 2 plays 0  

Rafael de la Llave - An introduction to KAM theory: I the basics

The KAM (Kolmogorov Arnold and Moser) theory studies the persistence of quasi-periodic solutions under perturbations. It started from a basic set of theorems and it has grown into a systematic…

From  Kathryn Gentilello on May 30th, 2019 53 plays 0  

Sivakanth Gopi - Locally decodable codes and arithmetic progressions in random settings

(1) A set D of natural numbers is called t-intersective if every positive upper density subset A of natural numbers contains a (t+1)-length arithmetic progression (AP) whose common differences is in…

From  Kathryn Gentilello on November 20th, 2018 3 plays 0  

Gabor Lugosi - Combinatorial Testing Problems

In these lectures we discuss some statistical problems with an interesting combinatorial structure behind. We start by reviewing the "hidden clique" problem, a simple prototypical example…

From  Kathryn Gentilello on November 7th, 2018 25 plays 0  

Lutz Warnke - Large girth approximate Steiner triple systems

In 1973 Erdos asked whether there are n-vertex partial Steiner triple systems with arbitrary high girth and quadratically many triples. (Here girth is defined as the smallest integer g \ge 4 for…

From  Kathryn Gentilello on October 6th, 2018 134 plays 0  

Sara van de Geer - Sharp Oracle Inequalities for Non-Convex Loss

There will be three lectures, which in principle will be independent units. Their common theme is exploiting sparsity in high-dimensional statistics. Sparsity means that the statistical model…

From  Kathryn Gentilello on September 7th, 2018 130 plays 0  

Cryptography: From Ancient Times to a Post-Quantum Age - Jill C. Pipher

How is it possible to send encrypted information across an insecure channel (like the internet) so that only the intended recipient can decode it, without sharing the secret key in advance?In 1976,…

From  Kathryn Gentilello on March 14th, 2018 27 plays 0  

Modern Erdos Magic - Joel Spencer

Traditional Erdos Magic (a.k.a. The Probabilistic Method) proves the existence of an object with certain properties by showing that a random (appropriately defined) object will have those properties…

From  Kathryn Gentilello on November 13th, 2017 28 plays 0  

Universality of transport coefficients in the HaldaneHubbard model - Alessandro Giuliani

https://mediaspace.gatech.edu/media/Universality+of+transport+coefficients+in+the+HaldaneHubbard+mod...

From  Kathryn Gentilello on December 2nd, 2016 5 plays 0  

Emergent Pfaffian Relations in QuasiPlanar Models - Michael Aizenman

https://mediaspace.gatech.edu/media/Federico+Bonetto+-+Aizenman/1_li7b58fv

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From  Kathryn Gentilello on December 2nd, 2016 6 plays 0  

Microlocal Methods in Dynamical Systems - Maciej Zworski

https://mediaspace.gatech.edu/media/Federico+Bonetto+-+Zworski/1_3yr38e2d

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From  Kathryn Gentilello on December 2nd, 2016 12 plays 0  

Quantum Approximate Markov Chains and the Locality of Entanglement Spectrum - Fernando Brandao

https://mediaspace.gatech.edu/media/Federico+Bonetto+-+Brandao/1_rgtfz69a

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From  Kathryn Gentilello on December 2nd, 2016 15 plays 0