Search for tag: "mathematics"

Grigoris Paouris - Concentration and Convexity, Part 3

The Concentration of measure phenomenon is a fundamental tool of high dimensional probability and of Asymptotic Geometric Analysis. Independence or Isoperimetry are two typical reasons for the…

From  Kathryn Gentilello on December 18th, 2019 5 plays 0  

Grigoris Paouris - Concentration and Convexity, Part 2

The Concentration of measure phenomenon is a fundamental tool of high dimensional probability and of Asymptotic Geometric Analysis. Independence or Isoperimetry are two typical reasons for the…

From  Kathryn Gentilello on December 18th, 2019 3 plays 0  

Elisabeth Werner - Floating Bodies and Approximation, Part 3

Two important closely related notions in affine convex geometry are the floating body and the affine surface area of a convex body. The floating body of a convex body is obtained by cutting off caps…

From  Kathryn Gentilello on December 18th, 2019 2 plays 0  

Alexander Koldobsky - Fourier analysis in geometric tomography, Part 3

Geometric tomography is the study of geometric properties of solids based on data about sections and projections of these solids. The lectures will include: 1. An outline of proofs of two of the main…

From  Kathryn Gentilello on December 18th, 2019 11 plays 0  

Alexander Koldobsky - Fourier analysis in geometric tomography, Part 2

Geometric tomography is the study of geometric properties of solids based on data about sections and projections of these solids. The lectures will include: 1. An outline of proofs of two of the main…

From  Kathryn Gentilello on December 12th, 2019 19 plays 0  

Elisabeth Werner - Floating Bodies and Approximation, Part 2

Two important closely related notions in affine convex geometry are the floating body and the affine surface area of a convex body. The floating body of a convex body is obtained by cutting off caps…

From  Kathryn Gentilello on December 12th, 2019 10 plays 0  

Grigoris Paouris - Concentration and Convexity, Part 1

The Concentration of measure phenomenon is a fundamental tool of high dimensional probability and of Asymptotic Geometric Analysis. Independence or Isoperimetry are two typical reasons for the…

From  Kathryn Gentilello on December 12th, 2019 17 plays 0  

Alexander Koldobsky - Fourier analysis in geometric tomography, Part 1

Geometric tomography is the study of geometric properties of solids based on data about sections and projections of these solids. The lectures will include: 1. An outline of proofs of two of the main…

From  Kathryn Gentilello on December 12th, 2019 33 plays 0  

Elisabeth Werner - Floating Bodies and Approximation, Part 1

Two important closely related notions in affine convex geometry are the floating body and the affine surface area of a convex body. The floating body of a convex body is obtained by cutting off caps…

From  Kathryn Gentilello on December 12th, 2019 12 plays 0  

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 3 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 60 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 28 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 148 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 138 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 31 plays 0