BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Roman Shvydkoy (University of Illinois\, Chicago) DTSTART:20210902T153000Z DTEND:20210902T163000Z DTSTAMP:20260423T040039Z UID:SIAM-PDE/13 DESCRIPTION:Title: Analytical aspects of emergent dynamics in systems of collective behavio r\nby Roman Shvydkoy (University of Illinois\, Chicago) as part of Sem inar In the Analysis and Methods of PDE (SIAM PDE)\n\n\nAbstract\nOne of t he challenging problems in the field of collective behavior is to understa nd global emergent phenomena arising from purely local communication betwe en agents. In the context of alignment dynamics examples of such global ph enomena include flock formations\, reaching consensus of opinions\, emer gence of leaders\, etc. For models based on purely local interactions the assumption of graph-\, chain-\, or hydrodynamic connectivity of the flock is often necessary\, but not always guaranteed\, to ensure collective out come. In this talk we will give an overview of the subject and highlight two new approaches to alignment dynamics in disconnected or weakly connect ed flocks. One is based on a topological fractional diffusion that resembl es the closest neighbor rule originating in various empirical studies\, an d another based on the use of random fluctuations and the hypocoercivity p roperty for the resulting kinetic Fokker-Planck-Alignment equation.\n LOCATION:https://researchseminars.org/talk/SIAM-PDE/13/ END:VEVENT END:VCALENDAR