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BEGIN:VEVENT
DTSTAMP:20230127T164318Z
DTSTART:20230208T150000Z
DTEND:20230208T160000Z
SUMMARY:Sunil Chhita - Domino Shuffle and Matrix Refactorizations
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}fvy-lder6jp
0-1b19nt
DESCRIPTION:Sunil Chhita (Durham) will speak in the Probability seminar.
(in-person)\n\nThis talk is motivated by computing correlations for domi
no tilings of the Aztec diamond. It is inspired by two of the three dis
tinct methods that have recently been used in the simplest case of a dou
bly periodic weighting\, that is the two-periodic Aztec diamond. This mo
del is of particular probabilistic interest due to being one of the few
models having a boundary between polynomially and exponentially decaying
macroscopic regions in the limit. One of the methods to compute corre
lations\, powered by the domino shuffle\, involves inverting the Kastele
yn matrix giving correlations through the local statistics formula. Anot
her of the methods\, driven by a Wiener-Hopf factorization for two- by-t
wo matrix valued functions\, involves the Eynard-Mehta theorem. For arb
itrary weights\, the Wiener-Hopf factorization can be replaced by an LU-
and UL-decomposition\, based on a matrix refactorization\, for the prod
uct of the transition matrices. In this talk\, we present results to say
that the evolution of the face weights under the domino shuffle and the
matrix refactorization is the same. \n\nThis is based on joint work wit
h Maurice Duits (Royal Institute of Technology KTH). \n
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Lighthill Lecture Room G.205\, Alan Turing Building\, Manchester
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