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UID:www.tcs.tifr.res.in/event/738
DTSTAMP:20230914T125936Z
SUMMARY:Geometry of Random Spatial Growth: Exactly Solvable Models and Beyo
nd
DESCRIPTION:Speaker: Riddhipratim Basu (Stanford University\nDepartment of
Mathematics\nBuilding 380\, 450 Serra Mall\nStanford\, CA 94305\nUnited St
ates of America\n )\n\nAbstract: \nKardar\, Parisi and Zhang introduced a
universality class (the so-called KPZ universality class) in 1986 which i
s believed to explain the universal behaviour in a large class of two dime
nsional random growth models including first and last passage percolation.
A number of breakthroughs has led to an explosion of mathematically rigor
ous results in this field in recent years. However\, these have mostly b
een restricted to the class of "exactly solvable models"\, where exact for
mulae are available using powerful tools of random matrices\, algebraic co
mbinatorics and representation theory\; beyond this class the understandin
g remains rather limited. I shall talk about a geometric approach to these
problems based on studying the geometry of geodesics (optimal paths)\, an
d describe some recent progress along these lines including the resolution
of Lebowitz's longstanding slow bond problem.\n
URL:https://www.tcs.tifr.res.in/web/events/738
DTSTART;TZID=Asia/Kolkata:20161229T113000
DTEND;TZID=Asia/Kolkata:20161229T123000
LOCATION:AG-77
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