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.
When you watch the Olympics this Summer and admire the achievements of the medalists, ponder on the unknown number of people who may have done just as well if only they'd had the chance. Of course this is true of many fields of human endeavour. Take mathematics for instance. In a world of data overload, pandemics and cyber intrusion never have we needed all the mathematical talent we can muster. Yet many people are denied the opportunity, both at school and, as crucially, at research level.