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SUMMARY:Amy Pang (Hong Kong Baptist University)
DTSTART:20210625T130000Z
DTEND:20210625T140000Z
DTSTAMP:20260423T004513Z
UID:ACPMS/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ACPMS/2/">Ma
 rkov chains from linear operators and Hopf algebras</a>\nby Amy Pang (Hong
  Kong Baptist University) as part of Algebraic and Combinatorial Perspecti
 ves in the Mathematical Sciences\n\n\nAbstract\nIf you study a linear oper
 ator that expands positively in some basis\, then your results may be appl
 icable to a Markov chain\, whose transition probabilities are given by the
  matrix of the operator. This is the idea behind the theory of random walk
 s on groups and monoids\, where the eigen-data of the operator informs the
  long-term behaviour of the chain. We point out a lesser-known advantage o
 f this framework: if the linear operator descends to a specific subquotien
 t of its domain\, then the corresponding Markov chain admits a projection 
 / lumping. We apply this to a coproduct-then-product operator on Hopf alge
 bras\, to explain Jason Fulman's observation regarding the RSK-shape under
  card-shuffling. I hope this talk will enable and inspire you to explore n
 ew examples.\n
LOCATION:https://researchseminars.org/talk/ACPMS/2/
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