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

 

 

encyclopedia

• http://en.wikipedia.org/wiki/
• http://www.scholarpedia.org/
• http://www.proofwiki.org/wiki/
• Princeton companion to mathematics(Companion_to_Mathematics.pdf)

 

 

books

 

• 2010년 books and articles
  
• http://gigapedia.info/1/
• http://gigapedia.info/1/
• http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=

 

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