Random matrix

introduction

The ensembles of random matrices obtained are called Gaussian Orthogonal
(GOE), Unitary (GUE), and Symplectic (GSE) Ensembles
for = 1, = 2, and = 4 respectively.

 

Catalan numbers and random matrices

 

 

 

 

random self-adjoint matrices

Wigner matrices

Band magtrices

Wishart matrix

Heavy tails matrices

Adjacency matrix of Erdos-Renyi graph

 

 

Gaussian Wigner matrices

 

[1]http://www.math.ucla.edu/~shlyakht/berkeley-07/conference/contrib/peche-talk.pdf

http://www.math.ucla.edu/~shlyakht/berkeley-07/conference/contrib/guionnet-talk.pdf

 

 

 

history

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

 

 

related items

• non-intersecting paths
• Riemann zeroes
• Macdonald theory

 

 

encyclopedia

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

 

 

books

• Large random matrices: lectures on macroscopic asymptotics http://www.mathematik.uni-muenchen.de/~lerdos/SS09/Random/guionnetcours.pdf
• 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

• Random matrices as a paradigm

http://www.phys.ust.hk/yilong/research/PhaseSpaceNetHan.pdf

http://www.ims.nus.edu.sg/Programs/randommatrix/files/sverdu_p.pdf

Universality of Wigner Random Matrices: a Survey of Recent Results

http://www.mathematik.uni-muenchen.de/~lerdos/SS09/Random/plan.html

Introduction to Random Matrix Theory  from An Invitation to Modern Number Theory http://web.williams.edu/go/math/sjmiller/public_html/BrownClasses/54/handouts/IntroRMT_Math54.pdf

 

 

articles

• A Note on the Eigenvalue Density of Random MatricesMichael K.-H. Kiessling and Herbert Spohn
  
• http://www.ams.org/mathscinet
• http://www.zentralblatt-math.org/zmath/en/
• http://arxiv.org/
• http://www.pdf-search.org/
• http://pythagoras0.springnote.com/
• http://math.berkeley.edu/~reb/papers/index.html
• http://dx.doi.org/10.1007/s002200050516

 

 

question and answers(Math Overflow)

• http://mathoverflow.net/search?q=
• http://mathoverflow.net/search?q=

 

 

blogs

• 구글 블로그 검색
  
  • http://blogsearch.google.com/blogsearch?q=
    
  • http://blogsearch.google.com/blogsearch?q=
• http://ncatlab.org/nlab/show/HomePage

 

 

experts on the field

• http://arxiv.org/

 

 

links

• Detexify2 - LaTeX symbol classifier
• 수식표현 안내
• The On-Line Encyclopedia of Integer Sequences
• http://functions.wolfram.com/