BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:From micro to macro in the physics and biology of sea ice - Ken Go
 lden (University of Utah)
DTSTART:20220921T083000Z
DTEND:20220921T090000Z
UID:TALK178298@talks.cam.ac.uk
DESCRIPTION:Sea ice exhibits composite structure&nbsp\;on length scales ra
 nging over many orders of magnitude. A principal challenge in modelling se
 a ice and its role in&nbsp\;climate is how to use information on smaller s
 cale structure to find the effective or homogenized behaviour on larger sc
 ales relevant to climate and ecosystem models. We&rsquo\;ll tour recent re
 sults on modelling macroscopic behaviour in the sea ice system\, with a fo
 cus on novel mathematical approaches. Percolation theory for fluid flow\, 
 fractal geometry of the brine microstructure\, and Stieltjes integral repr
 esentations for homogenized parameters of two phase and polycrystalline co
 mposites will be considered. Spectral analysis of these representations le
 ads to a random matrix theory picture of connectedness processes in sea ic
 e\, with parallels to Anderson localization and semiconductor physics. Mel
 t pond connectedness and complexification is also viewed through the lens 
 of Morse theory and persistent homology in topological data analysis\, and
  the Euler characteristic in particular. Finally\, related heterogeneity i
 n the parameters of nonlinear algal bloom models is addressed through poly
 nomial chaos methods in uncertainty quantification\, to analyse effective 
 bloom dynamics when the local parameters are random variables.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR