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SUMMARY:Allan Sly (Princeton)
DTSTART:20200515T150000Z
DTEND:20200515T160000Z
DTSTAMP:20260423T022745Z
UID:PatC/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PatC/5/">Cri
 tical One-dimensional Multi-particle DLA</a>\nby Allan Sly (Princeton) as 
 part of Probability and the City Seminar\n\n\nAbstract\nIn multi-particle 
 Diffusion Limited Aggregation (DLA) a sea of particles perform independent
  random walks until they run into the aggregate and are absorbed.  In dime
 nsion 1\, the rate of growth of the aggregate depends on  lambda\, the den
 sity of the particles.  Kesten and Sidoravicius proved that when $\\lambda
  <1$ the aggregate grows like $t^{1/2}$.  They furthermore predicted linea
 r growth when $\\lambda > 1$ (subsequently confirmed) and $t^{2/3}$ growth
  at the critical density $\\lambda =1$. \n\nIn this talk we address the cr
 itical case\, confirming the $t^{2/3}$ rate of growth and show that aggreg
 ate has a scaling limit whose derivative is a self-similar diffusion proce
 ss.  Surprisingly this contradicts conjectures on the speed in the mildly 
 supercritical regime when $\\lambda = 1 + \\epsilon$.\n\nJoint work with D
 anny Nam and Dor Elboim\n
LOCATION:https://researchseminars.org/talk/PatC/5/
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