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Limit shape and fluctuations for random Young diagrams confined in a box

Presenter
January 12, 2012
SLMath
Keywords:
  • lattice theory
  • lattice models in mechanics
  • SLE
  • partition functions
  • Vershik's curve
  • tilings
  • q-calculus
  • Young tableaux
  • partitions and tableaux
MSC:
  • 60K35
  • 60J65
  • 60J67
  • 60Jxx
  • 60-xx
  • 82-xx
  • 06-xx
  • 05E05
  • 05Exx
  • 11B65
  • 05A18
Limit shape and fluctuations for random Young diagrams confined in a box Thumbnail
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Abstract
We exhibit the limit shape of random Young diagrams having a distribution proportional to the exponential of their area, and confined in a rectangular box. The Ornstein-Uhlenbeck bridge arises from the fluctuations around the limit shape.
Abstract
Supplementary Materials