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SUMMARY:Yuri Yakubovich (Saint Petersburg State University)
DTSTART:20230127T090000Z
DTEND:20230127T103000Z
DTSTAMP:20260423T041407Z
UID:BIMSA-ISS/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BIMSA-ISS/3/
 ">Random growth of Young diagrams with uniform marginals</a>\nby Yuri Yaku
 bovich (Saint Petersburg State University) as part of BIMSA Integrable Sys
 tems Seminar\n\n\nAbstract\nMany (random) growth procedures for integer pa
 rtitions/Young diagrams has been introduced\nin the literature and intensi
 vely studied. The examples include Pitman's `Chinese restaurant'\nconstruc
 tion\, Kerov's Plancherel growth and many others.  These procedures amount
  to\ninsertion of a new box to a Young diagram on each step\, following ce
 rtain Markovian procedure.\nHowever\, no such procedure leading to the uni
 form measure on partitions of $n$ after $n$\nsteps is known.  I will descr
 ibe a Markiovian procedure of adding a rectangular block\nto a Young diagr
 am with the property that given the growing chain visits some level $n$\, 
 it\npasses through each partition of $n$ with equal probabilities\, thus l
 eading to the uniform\nmeasure on levels.  I will explain connections to s
 ome classical probabilistic objects.\nAlso I plan to discuss some aspects 
 of asymptotic behavior of this Markov chain and explain\nwhy the limit sha
 pe is formed.\n
LOCATION:https://researchseminars.org/talk/BIMSA-ISS/3/
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