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SUMMARY:Lauren K. Williams (Harvard University)
DTSTART:20210819T000000Z
DTEND:20210819T010000Z
DTSTAMP:20260412T203311Z
UID:SAGO/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SAGO/8/">Sch
 ubert polynomials\, the inhomogeneous TASEP\, and evil-avoiding permutatio
 ns</a>\nby Lauren K. Williams (Harvard University) as part of Algebra Semi
 nar (presented by SMRI)\n\n\nAbstract\nThe totally asymmetric simple exclu
 sion process (TASEP) was introduced around 1970 as a model for translation
  in protein synthesis and traffic flow. It has interesting physical proper
 ties (e.g. boundary-induced phase transitions) and also beautiful mathemat
 ical properties. The inhomogeneous TASEP is a Markov chain of weighted par
 ticles hopping on a ring\, in which the probability that two particles int
 erchange depends on the weight of those particles. If each particle has a 
 distinct weight\, then we can think of this as a Markov chain on permutati
 ons. In many cases\, the steady state probabilities can be expressed in te
 rms of Schubert polynomials. Based on joint work with Donghyun Kim.\n
LOCATION:https://researchseminars.org/talk/SAGO/8/
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