BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
X-WR-CALNAME:PDE Seminar
X-WR-TIMEZONE:Eastern Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20260818T081145Z
UID:tag:localist.com\,2008:EventInstance_50571548264349
DTSTART:20251023T183000Z
DTEND:20251023T193000Z
DESCRIPTION:Speaker: Yuxi Han (Purdue University)\n\nTitle: Large deviation
 s and Hamilton–Jacobi Equations for state-constrained chemical reactions
 \n\nAbstract: Chemical reactions can be modeled as random time-changed Poi
 sson processes on a countable state space. Their macroscopic behavior\, in
 cluding large fluctuations\, can be analyzed through the WKB reformulation
 . In this framework\, the backward equation of the rescaled process leads 
 to a discrete Hamilton–Jacobi equation with state constraints. As the gr
 id size tends to zero\, the limiting solution and its variational represen
 tation are closely related to the good rate function in the large deviatio
 n principle for state-constrained chemical reactions in the thermodynamic 
 limit. In this talk\, we will examine the limiting behavior of discrete Ha
 milton–Jacobi equations with state-constraint boundary conditions and es
 tablish the corresponding large deviation principle. This is joint work wi
 th Yuan Gao.
GEO:35.957579;-83.925751
LOCATION:Ayres Hall\, 113
SUMMARY:PDE Seminar
URL;VALUE=URI:https://calendar.utk.edu/event/pde-seminar-3508
CATEGORIES:Lectures & Presentations
END:VEVENT
END:VCALENDAR