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TZID:Europe/Vienna
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DTSTART:20190331T030000
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DTSTART:20181028T020000
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DTSTAMP:20260404T133218Z
UID:5b4d8fb086fcb355334332@ist.ac.at
DTSTART:20190207T161500
DTEND:20190207T181500
DESCRIPTION:Speaker: Peter Nejjar\nhosted by Lazlo Erdös\nAbstract: We con
 sider the asymmetric simple exclusion process (ASEP) on Z with an initial 
 data such that in the large time particle density ρ(·) a discontinuity a
 t the origin is created\, where the value of ρ jumps from zero to one\, b
 ut ρ(−ε)\,1 − ρ(ε) > 0 for any ε > 0. We consider the position of
  a particle xM macroscopically located at the discontinuity\, and show tha
 t its limit law has a cutoff under t1/2 scaling. Inside the discontinuity 
 region\, we show that a discrete product limit law arises\, which bounds f
 rom above the limiting fluctuations of xM in the general ASEP\, and equals
  them in the totally ASEP. Sending M → ∞\, the discrete product limit 
 law converges to FGUE × FGUE\, which was previously observed at shocks in
  TASEP.
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
 TA
ORGANIZER:caroline.petz@ist.ac.at
SUMMARY:Peter Nejjar: Cutoff and discrete product structure in ASEP
URL:https://talks-calendar.ista.ac.at/events/1737
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