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]

 

==history

• http://www.google.com/search?hl=en&tbs=tl:1&q=

 

 

==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