BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//UM//UM*Events//EN
CALSCALE:GREGORIAN
BEGIN:VTIMEZONE
TZID:America/Detroit
TZURL:http://tzurl.org/zoneinfo/America/Detroit
X-LIC-LOCATION:America/Detroit
BEGIN:DAYLIGHT
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:20070311T020000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=2SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:20071104T020000
RRULE:FREQ=YEARLY;BYMONTH=11;BYDAY=1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20230922T180623
DTSTART;TZID=America/Detroit:20230929T150000
DTEND;TZID=America/Detroit:20230929T160000
SUMMARY:Workshop / Seminar:AIM Seminar: Transforming Butterflies into Graphs: Statistics of Chaotic and Turbulent Systems
DESCRIPTION:We formulate a data-driven method for constructing finite volume discretizations of a dynamical system's underlying Continuity / Fokker-Planck equation. A method is employed that allows for flexibility in partitioning state space\, generalizes to function spaces\, applies to arbitrarily long sequences of time-series data\, is robust to noise\, and quantifies uncertainty with respect to finite sample effects. After applying the method\, one is left with Markov states (cell centers) and a random matrix approximation to the generator. When used in tandem\, they emulate the statistics of the underlying system. We apply the method to the Lorenz equations (a three-dimensional ordinary differential equation) and a modified Held-Suarez atmospheric simulation (a 1\,000\,000+ degree of freedom Flux-Differencing Discontinuous Galerkin discretization of the compressible Euler equations with gravity and rotation on a thin spherical shell). We show that a coarse discretization captures many essential statistical properties of the system\, such as steady state moments\, time autocorrelations\, and residency times for subsets of state space.\n\n[Contact: D. Viswanath]
UID:109218-21821227@events.umich.edu
URL:https://events.umich.edu/event/109218
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 1084
CONTACT:
END:VEVENT
END:VCALENDAR