Mathematical Physics Seminar

Speaker: 
Palle Jorgensen
Topic: 
"Reflecting Positively for Fractional Brownian Motion"

Abstract:
$\quad$We show that fractional Brownian motion plays a crucial role on the Euclidean side of the dichotomy from the study of reflection positivity in quantum physics. Recall, Osterwalder-Schrader reflection positivity makes the link from relativistic quantum field theory on the one side, and to Gaussian fields on the other, so commutative algebras of random variables. It is an attractive tool as it offers a way around the difficulties with unbounded operators and non-commutativity for quantum fields.
$\quad$In the talk, our focus will be on certain unitary representations which admit reflection positivity constructions.

Event Date: 
March 27, 2018 - 2:30pm to 3:30pm
Location: 
309 VAN
Calendar Category: 
Seminar