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DTSTART:20210328T030000
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BEGIN:VEVENT
DTSTAMP:20210123T200536Z
UID:1611675000@ist.ac.at
DTSTART:20210126T163000
DTEND:20210126T171500
DESCRIPTION:Speaker: Lorenzo Taggi\nhosted by M. Beiglböck\, N. Berestycki
\, L. Erdös\, J. Maas\, F. Toninelli\nAbstract: The Spin O(N) model is a
classical statistical mechanics model whose configurations are collections
of unit vectors taking values on the surface of a N -1 dimensional unit s
phere. Some special cases are the Ising model (N = 1)\, the XY model (N =
2)\, and the classical Heisenberg model (N = 3). Despite the fact that it
is a very classical model\, there remain important gaps in understanding\,
particularly in the case N > 2. This talk will present a new recent resul
t about exponential decay of correlations for arbitrary (non-zero) values
of the external magnetic field and arbitrary spin dimension N>1\, extendin
g previous results which hold only for N=1\,2\,3. Our proof is probabilist
ic and employs a representation of the model as a system of coloured rando
m paths which is of independent interest. The talk is based on a joint wor
k with B. Lees.
LOCATION:online via Zoom\, IST Austria
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Exponential decay of correlations for O(N) spin systems for arbitra
ry N
URL:https://talks-calendar.app.ist.ac.at/events/3027
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