Oxford Mathematician Connor Behan discusses the ways in which a free quantum field can be coupled to a spatial boundary. His recent work with Lorenzo di Pietro, Edoardo Lauria and Balt van Rees sheds light on this question using the non-perturbative bootstrap technique.
Stochastic Flows and Rough Differential Equations on Foliated Spaces
Abstract
Stochastic differential equations (SDEs) on compact foliated spaces were introduced a few years ago. As a corollary, a leafwise Brownian motion on a compact foliated space was obtained as a solution to an SDE. In this work we construct stochastic flows associated with the SDEs by using rough path theory, which is something like a 'deterministic version' of Ito's SDE theory.
This is joint work with Kiyotaka Suzaki.
Four Oxford Mathematicians have been awarded 2021 London Mathematical Society (LMS) Prizes. Ehud Hrushovski is awarded a Pólya Prize, Endre Süli is awarded the Naylor Prize and Lectureship, and Patrick Farrell and Stuart White receive Whitehead Prizes.