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

2018
Dec
05

# HUJI Analysis Seminar: Ron Rosenthal (Technion)

12:00pm to 1:00pm

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

2018
Dec
05

12:00pm to 1:00pm

2019
Jan
09

12:00pm to 1:00pm

2018
Dec
26

2018
Nov
07

2018
Dec
12

12:00pm to 1:00pm

Room 70, Ross Building

Abstract: During the last 20 years there has been a considerable literature on a collection of related mathematical topics: higher degree versions of Poncelet’s Theorem, certain measures associated to some finite Blaschke products and the numerical range of finite dimensional completely non-unitary contractions with defect index 1. I will explain that without realizing it, the authors of these works were discussing OPUC.

2018
Nov
28

2018
Nov
21

2019
Mar
13

12:00pm to 1:00pm

2018
May
30

12:15pm to 1:15pm

Abstract:
I will discuss a family of random processes in discrete time related to products of random matrices (product matrix processes). Such processes are formed by singular values of random matrix products, and the number of factors in a random matrix product plays a role of a discrete time. I will explain that in certain cases product matrix processes are discrete-time determinantal point processes, whose correlation kernels can be expressed in terms of double contour integrals. This enables to investigate determinantal processes for products of ra ndom matrices in

2018
Jun
13

12:00pm to 1:00pm

Ross building, room 70

Abstract:
The study of elastic membranes carrying topological defects has a longstanding history, going back at least to the 1950s. When allowed to buckle in three-dimensional space, membranes with defects can totally relieve their in-plane strain, remaining with a bending energy, whose rigidity modulus is small compared to the stretching modulus.

2018
May
23

12:00pm to 1:00pm

Ross Building, Room 70

Title: Random walks on planar graphs
Abstract: We will discuss several results relating the behavior of a random walk on a planar graph and the geometric properties of a nice embedding of the graph in the plane (e.g. a circle packing of the graph). An example of such a result is that for a bounded degree graph, the simple random walk is recurrent if and only if the boundary of the nice embedding is a polar set (that is, Brownian motion misses it almost surely).
No prior knowledge about random walks, circle packings or Brownian motion is required.

2018
May
16

12:00pm to 1:00pm

Ross Building

Abstract:
(joint with Noam Aigerman, Raz Sluzky and Yaron Lipman)

2018
Jun
27

12:00pm to 1:00pm

Ross Building, Room 70

Abstract:
In 1934, Loewner proved a remarkable and deep theorem about matrix monotone functions. Recently, the young Finnish mathematician, Otte Heinävarra settled a 10 year old conjecture and found a 2 page proof of a theorem in Loewner theory whose only prior proof was 35 pages. I will describe his proof and use that as an excuse to discuss matrix monotone and matrix convex functions including, if time allows, my own recent proof of Loewner’s original theorem.

2018
Apr
11

12:00pm to 1:00pm

Ross Building, Room 70

Since the seminal work of Arnold on the Euler equations (1966), many equations in hydrodynamics were shown to be geodesic equations of diffeomorphism groups of manifolds, with respect to various Sobolev norms. This led to new ways to study these PDEs, and also initiated the study of of the geometry of those groups as (infinite dimensional) Riemannian manifolds.

2018
Mar
21