Non-intersecting paths

introduction

• discrete version of Gaussian unitary ensemble
• partiton function looks really similar
• determinantal point process
  • Karlin and McGregor
• correlation kernel

 

 

random surface

[/pages/6695265/attachments/4215881 random_tiling.jpg]

 

related items

• random matrix
• random tiling
• dimer model
• Macdonald theory

 

 

expositions

• http://web.mit.edu/sea06/agenda/talks/Kuijlaars.pdf

 

 

articles

• Gibbs Ensembles of Nonintersecting Paths Alexei Borodin and Senya Shlosman
• The birth of a random matrix

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