BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20260617T054237EDT-3812U1fvZo@132.216.98.100 DTSTAMP:20260617T094237Z DESCRIPTION:Informal Systems Seminar (ISS) Centre for Intelligent Machines  (CIM) and Groupe d'Etudes et de Recherche en Analyse des Decisions (GERAD) \n\nSpeaker: Torstein Nilssen\n \n *Note that this is a hybrid event*\n \n Zoo m Link\n Meeting ID: 845 1388 1004       \n Passcode: VISS\n \n Abstract: In t his talk I will start from a differential equation and show that the deter ministic integration theory of Young (1936) is not suitable to give a path wise description of stochastic differential equations. I will then present  the insight by Terry Lyons (1998) that the missing ingredient is the iter ated integral of the Brownian motion as well as a Taylor expansion type eq uation which gives intuition into why this is the correct object. We will  then consider the ansatz of controlled paths and how it can be used to set  up a fixed point mapping for rough differential equations. If time allows  we will look at applications of the theory to Wong-Zakai approximations a nd fractional Brownian motion.\n \n Affiliation : Torstein Kastberg is an As sociate Professor at Institue of Mathematics at University of Agder\, Norw ay.\n DTSTART:20231124T150000Z DTEND:20231124T160000Z LOCATION:Zames Seminar Room\, MC 437\, McConnell Engineering Building\, CA\ , QC\, Montreal\, H3A 0E9\, 3480 rue University SUMMARY:An introduction to differential equations driven by rough path URL:/cim/channels/event/introduction-differential-equa tions-driven-rough-path-352838 END:VEVENT END:VCALENDAR