BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Quantum Hall transitions and conformal restriction
- Gruzberg\, I (University of Chicago)
DTSTART;TZID=Europe/London:20120917T142000
DTEND;TZID=Europe/London:20120917T150000
UID:TALK39818AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/39818
DESCRIPTION:A spectacular success in the study of random fract
al clusters and their boundaries in critical stati
stical mechanics systems using Schramm-Loewner Evo
lutions (SLE) naturally calls for extensions in va
rious directions. Can this success be repeated for
disordered and/or non-equilibrium systems? Naivel
y\, when one thinks about disordered systems and t
heir average correlation functions one of the very
basic assumptions of SLE\, the so called domain M
arkov property\, is lost. Also\, in some lattice m
odels of Anderson transitions (the network models)
there are no natural clusters to consider. Nevert
heless\, in this talk I will argue that one can ap
ply the so called conformal restriction\, a notion
of stochastic conformal geometry closely related
to SLE\, to study the integer quantum Hall transit
ion and its variants. I will focus on the Chalker-
Coddington network model and will demonstrate that
its average transport properties can be mapped to
a classical problem where the basic objects ar e
geometric shapes (loosely speaking\, the current p
aths) that obey an important restriction property.
At the transition point this allows to use the th
eory of conformal restriction to derive exact expr
essions for mean point contact conductances in the
presence of various non-trivial boundary conditio
ns. \n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
END:VEVENT
END:VCALENDAR