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SUMMARY:Jacob Richey (University of Washington)
DTSTART:20200428T223000Z
DTEND:20200428T233000Z
DTSTAMP:20260422T212926Z
UID:JacobRichey/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JacobRichey/
 1/">Recent results on the phase transition for activated random walk</a>\n
 by Jacob Richey (University of Washington) as part of Recent results on th
 e phase transition for activated random walk\n\n\nAbstract\nIn this talk I
  will discuss activated random walk\, an interacting particle system that 
 exhibits a phase transition on infinite domains and self-organized critica
 lity on finite domains. In the infinite version\, the system is initialize
 d with density μ of particles which perform independent simple random wal
 k\, fall asleep at rate λ\, and are woken up if another particle moves to
  the same site. There are two possible limiting behaviors: local fixation\
 , where each site is visited finitely many times a.s.\, or non-fixation\, 
 where each site is visited infinitely many times a.s. Current research is 
 focused on determining where the transition between these two phenomena oc
 curs in terms of μ and λ\, and many questions still remain – even on Z
 . I will present some recent results and discuss the novel tools involved.
 \n\nOrganizers: CUNY\n\nhttp://www.math.columbia.edu/department/probabilit
 y/seminar/prob_sem_global.html​\n
LOCATION:https://researchseminars.org/talk/JacobRichey/1/
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