# Analysis

The Analysis seminar meets on Wednesdays at 12:00 in room 70 of the Ross Building.

2020
Apr
01

12:00pm to 1:00pm

2020
Mar
18

# Analysis Seminar: Chris Sogge (JHU) "TBA"

12:00pm to 1:00pm

2020
Jan
08

# Special Analysis Seminar: Andrew Ahn (MIT) "Largest Singular Values of Products of \beta-Ensembles"

2:00pm to 3:00pm

## Location:

221B

Title:Largest Singular Values of Products of \beta-Ensembles

2019
Dec
18

# Special Analysis and Mathematical Physics Seminar: Eliran Subag (Courant) "Spherical spin glass models"

2:30pm to 3:30pm

## Location:

221B

Title: Spherical spin glass models

Abstract: In the 70s, physicists proposed several models fordisordered magnetic alloys called spin glass models. Mathematically, thespherical models are random functions on the sphere in high-dimensions, andmany of the questions physicists are interested in can be phrased aspurely mathematical questions about geometric properties, extreme values,critical points, and Gibbs measures of random functions and the interplaybetween them.

2020
Jan
15

# Analysis Seminar Dvoretsky Lecture: Sylvia Serfaty (NYU Courant) - Mean Field Limits for Coulomb Dynamics

12:00pm to 1:00pm

## Location:

Ross 70

We consider a system of N points evolving according to the gradient flow of their Coulomb or Riesz interaction, or a similar conservative flow. By Riesz interaction, we mean inverse power s of the distance with s between d-2 and d where d denotes the dimension. We show a convergence result as N tends to infinity to the expected limiting evolution equation. This was previously an open question in general dimension, rendered difficult by the singular nature of the interaction. We will also discuss briefly similar results in the context of models of superfluidity and superconductivity.

2020
Jan
15

# Dvoretzky Lectures: Mean Field Limits for Coulomb Dynamics

## Lecturer:

Sylvia Serfaty

12:00pm to 2:00pm

## Location:

Ross 70

We consider a system of N points evolving according to the gradient flow of their Coulomb or Riesz interaction, or a similar conservative flow. By Riesz interaction, we mean inverse power s of the distance with s between d-2 and d where d denotes the dimension. We show a convergence result as N tends to infinity to the expected limiting evolution equation. This was previously an open question in general dimension, rendered difficult by the singular nature of the interaction. We will also discuss briefly similar results in the context of models of superfluidity and superconductivity.

2019
Dec
25

# Analysis Seminar: Adi Glucksam (Toronto) "Optimal growth of frequently oscillating subharmonic functions"

12:00pm to 1:00pm

## Location:

Ross 70

Title: Optimal growth of frequently oscillating subharmonic functions.

Abstract

**In this talk I will present Nevanlinna-type tight bounds on the minimal possible growth of subharmonic functions with a large zero set. We use a technique inspired by a paper of Jones and Makarov.**

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2019
Nov
06

# Analysis Seminar: Eyal Seelig (HUJI) "On the spacing of zeros of paraorthogonal polynomials for singular measures"

12:00pm to 1:00pm

## Location:

Ross 70

Title: On the spacing of zeros of paraorthogonal polynomials for singular measures

Abstract:

Abstract:

2020
Jan
01

# Analysis Seminar: Cyril Tintarev (Uppsala, visiting Technion) "Weak convergence methods: Cocompactness and structured defect of compactness" )

12:00pm to 1:00pm

## Location:

Ross 70

Profile decomposition theorem is a refinement of the Banach-Alaoglu (weak compactness) theorem in presence of a given set of quasi-isometries. We define a class of co-compact embeddings of Banach spaces that yields a clear structure for bounded divergent sequences. This is a generalization, on the functional-analytic level, of the concentration compactness principle of Lions. Applications include Sobolev, Jawerts Strichartz and Moser-Trudinger embeddings.

2019
Dec
18

# Analysis Seminar: Moshe Goldberg (Technion) "Extending the Spectral Radius to Finite-Dimensional Power-Associative Algebras"

12:00pm to 1:00pm

## Location:

Ross 70

Title: Extending the Spectral Radius to Finite-Dimensional Power-Associative Algebras

Abstract: The purpose of this talk is to introduce a new concept, the \textit{radius} of elements in arbitrary finite-dimensional power-associative algebras over the field of real or complex numbers. It is an extension of the well known notion of the spectral radius.

As examples, we shall discuss this new radius in the setting of matrix algebras, where it indeed reduces to the spectral radius, and then in the Cayley-Dickson algebras, where it is something quite different.

2020
Jan
08

# Analysis Seminar: Gershon Wolansky (Technion) "Limit theorems of optimal transportation and teleportation"

12:00pm to 1:00pm

## Location:

Ross 70

Title:

Limit theorems of optimal transportation and teleportation

Abstract:

I’ll review the fundamental definitions in optimal transport theory and discuss limit theorems along with applications to regularity of flows and, if time permit, a novel application to optimal networks,

2019
Nov
13

# Analysis Seminar: Misha Sodin (TAU) "The Wiener spectrum and Taylor series with pseudo-random coefficients"

12:00pm to 1:00pm

## Location:

Ross 70

Title: The Wiener spectrum and Taylor series with pseudo-random coefficients.

Abstract:

Abstract:

2019
Nov
20

# Analysis Seminar: Genadi Levin "The Cauchy transform that vanishes outside a compact"

12:00pm to 1:00pm

## Location:

Ross 70

Title: The Cauchy transform that vanishes outside a compact.

Abstract: The Cauchy transform of a complex finite compactly supported measure on the plane is its convolution with the Cauchy kernel.

The classical F. and M. Riesz theorem asserts that if the Cauchy transform of a measure $\mu$ on the unit circle

vanishes off the closed unit disk then $\mu$ is absolutely continuous w.r.t. the arc measure on the unit circle.

Motivated by an application in holomorphic dynamics we present a certain generalization of this Riesz theorem

2019
Dec
04

2019
Dec
11

# Analysis Seminar: Matania Ben-Artzi (HUJI) "Spline functions, the biharmonic operator and approximate eigenvalues"

12:00pm to 1:00pm

## Location:

Ross 70

Title: Spline functions, the biharmonic operator and approximate

eigenvalues.

Abstract: The biharmonic operator plays a central role in a wide array of physical models, such as elasticity theory and the streamfunction formulation of the Navier-Stokes equations.In this talk a full discrete elliptic calculus is presented. The primary object of this calculus is a high-order compact discrete biharmonic operator (DBO).

eigenvalues.

Abstract: The biharmonic operator plays a central role in a wide array of physical models, such as elasticity theory and the streamfunction formulation of the Navier-Stokes equations.In this talk a full discrete elliptic calculus is presented. The primary object of this calculus is a high-order compact discrete biharmonic operator (DBO).