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UID:www.tcs.tifr.res.in/event/835
DTSTAMP:20230914T125940Z
SUMMARY:Phase Transitions in Hard-core Models
DESCRIPTION:Speaker: Kavita Ramanan (Brown University\nDepartment of Applie
d Mathematics\n182\, George Street\nProvidence\, RI 02912\nUnited States o
f America)\n\nAbstract: \nThe standard hard-core model on a locally finite
graph describes a family of Gibbs specifications\, parameterized by the s
o-called activity parameter. An important problem is to determine when t
he model has a unique Gibbs measure and when it exhibits a phase transitio
n (that is\, has multiple Gibbs measures). Such models arise in combinat
orics\, statistical physics and communication networks\, and recent work h
as uncovered interesting connections between phase transitions in these
models and the hardness of various counting problems. We will describe pha
se transition properties of the hard-core model and its various avatars\,
including a continuous version of the model and describe some interesting
consequences.\n
URL:https://www.tcs.tifr.res.in/web/events/835
DTSTART;TZID=Asia/Kolkata:20171221T160000
DTEND;TZID=Asia/Kolkata:20171221T170000
LOCATION:A-201 (STCS Seminar Room)
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