COSAM » Events » 2016 » February » Stochastics Seminar

Stochastics Seminar
Time: Feb 18, 2016 (02:00 PM)
Location: Parker Hall 322

Speaker: Dr. Jerzy Szulga

Title: ---

Abstract: A Fock space is a Hilbert space endowed with an additional “chaos structure.”  The Fock space induced by Brownian motion is a mainstream example. In 1990s Paul-Andre Meyer began investigating  so called “baby Fock spaces,” induced by discrete Bernoulli processes. The concept is closely associated with  Discrete Fourier Analysis based on Walsh functions.

Of interest are “chaos operators” that are definable and investigable through the chaos representations. At the first glance they form a seemingly tangled structure, yet an orderly pattern soon emerges.

In the talk I will briefly review the origins and recall the needed concepts. At some point a purely algebraic framework appears, namely of a signed multiplicative system (relations to the quantum physics' spin matrices will be hard to hide). The focus will be placed on generators and their replacements. A replacement is a tangible isomorphism that (hopefully) introduces a clear distinctive pattern to primordial disarray.

The presentation will be a continuation of the series of seminar talks in Fall 2015, yet it will be self-contained.

Last updated: 02/18/2016