September 16, 2014
4:30PM - 5:30PM
CH 240
Add to Calendar
2014-09-16 16:30:00
2014-09-16 17:30:00
Colloquium - Alexander Olevskii
Title: Quasicrystals and Poisson Summation FormulaSpeaker: Alexander Olevskii, Tel Aviv UniversityAbstract: The classic Poisson formula gives an example of measure with discrete support and spectrum. Meyer's "model sets" provide many examples of measures with uniformly discrete support and pure point spectrum, which is dense. A new peak of interest to the subject was inspired by the experimental discovery of quasicrystals. It has been conjectured that if both the support and the spectrum of a measure in R^n are uniformly discrete, then the measure has periodic structure. I'll discuss the background and present a recent result, joint with Nir Lev, which proves the conjecture for positive measures.
CH 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2014-09-16 16:30:00
2014-09-16 17:30:00
Colloquium - Alexander Olevskii
Title: Quasicrystals and Poisson Summation FormulaSpeaker: Alexander Olevskii, Tel Aviv UniversityAbstract: The classic Poisson formula gives an example of measure with discrete support and spectrum. Meyer's "model sets" provide many examples of measures with uniformly discrete support and pure point spectrum, which is dense. A new peak of interest to the subject was inspired by the experimental discovery of quasicrystals. It has been conjectured that if both the support and the spectrum of a measure in R^n are uniformly discrete, then the measure has periodic structure. I'll discuss the background and present a recent result, joint with Nir Lev, which proves the conjecture for positive measures.
CH 240
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Quasicrystals and Poisson Summation Formula
Speaker: Alexander Olevskii, Tel Aviv University
Abstract: The classic Poisson formula gives an example of measure with discrete support and spectrum. Meyer's "model sets" provide many examples of measures with uniformly discrete support and pure point spectrum, which is dense. A new peak of interest to the subject was inspired by the experimental discovery of quasicrystals. It has been conjectured that if both the support and the spectrum of a measure in R^n are uniformly discrete, then the measure has periodic structure. I'll discuss the background and present a recent result, joint with Nir Lev, which proves the conjecture for positive measures.
