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

2019
Apr
10

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

2019
Apr
10

2019
Jun
12

2019
May
22

12:00pm to 1:00pm

2019
Mar
13

2019
May
15

2019
Feb
20

12:00pm to 1:00pm

Ross 70

Title: Interpolation sets and arithmetic progressions
Abstract: Given a set S of positive measure on the unit circle, a set of integers K is an interpolation set (IS) for S if for any data {c(k)} in l^2(K) there exists a function f in L^2(S) such that its Fourier coefficients satisfy f^(k)=c(k) for all k in K.
In the talk I will discuss the relationship between the concept of IS and the existence arithmetic structure in the set K, I will focus primarily on the case where K contains arbitrarily long arithmetic progressions with specified lengths and step sizes.

2019
May
29

2019
Jan
09

2019
Mar
20

2019
Jan
02

12:00pm to 1:00pm

Ross building, room 70

Title: A many-body index for quantum charge transport

2018
Oct
31

12:00pm to 1:00pm

Room 70, Ross building

We present an approach to computing the scaling limits of Christoffel-Darboux kernels using transfer matrix evolution.

2018
Oct
24

12:00pm to 1:00pm

Room 70, Ross building

Title: An improved bound for Hadwiger’s covering problem via thin shell inequalities for the convolution square. Abstract: A long-standing open problem, known as Hadwiger’s covering problem, asks what is the smallest natural number N(n) such that every convex body in {\mathbb R}^n can be covered by a union of the interiors of at most N(n) of its translates. Despite continuous efforts, the best-known general upper bound for this number remain as it was more than half a decade ago, and is of the order of \binom{2n}{n}n\ln n.

2018
Nov
18

12:00pm to 1:00pm

Manchester building, room 209

Title: Szego theorem for measures on the real line: optimal results and
applications.
Abstract: Measures on the unit circle for which the logarithmic integral
converges can be characterized in many different ways: e.g., through
their Schur parameters or through the predictability of the future from
the past in Gaussian stationary stochastic process. In this talk, we
consider measures on the real line for which logarithmic integral exists
and give their complete characterization in terms of the Hamiltonian in
De Branges canonical system. This provides a generalization of the

2018
Dec
19

12:00pm to 1:00pm

Ross Building, Room 70

Title: On a local version of the fifth Busemann-Petty Problem
Abstract:
In 1956, Busemann and Petty posed a series of questions about symmetric convex bodies, of which only the first one has been solved. Their fifth problem asks the following.
Let K be an origin symmetric convex body in the n-dimensional Euclidean space and let H_x be a hyperplane passing through the origin orthogonal to a unit direction x. Consider a hyperplane G parallel to H_x and supporting to K and let
C(K,x)=vol(K\cap H_x)dist (0, G).

2019
Apr
10