"Random matrix"의 두 판 사이의 차이
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| 1번째 줄: | 1번째 줄: | ||
<h5>introduction</h5> | <h5>introduction</h5> | ||
| − | + | The ensembles of random matrices obtained are called Gaussian Orthogonal<br> (GOE), Unitary (GUE), and Symplectic (GSE) Ensembles<br> for = 1, = 2, and = 4 respectively. | |
| 77번째 줄: | 77번째 줄: | ||
<h5>expositions</h5> | <h5>expositions</h5> | ||
| + | |||
| + | http://www.ims.nus.edu.sg/Programs/randommatrix/files/sverdu_p.pdf | ||
[http://math.arizona.edu/events/AZschool/material/AZ10-erdos.pdf Universality of Wigner Random Matrices: a Survey of Recent Results] | [http://math.arizona.edu/events/AZschool/material/AZ10-erdos.pdf Universality of Wigner Random Matrices: a Survey of Recent Results] | ||
2010년 12월 7일 (화) 12:12 판
introduction
The ensembles of random matrices obtained are called Gaussian Orthogonal
(GOE), Unitary (GUE), and Symplectic (GSE) Ensembles
for = 1, = 2, and = 4 respectively.
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
encyclopedia
- 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
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
articles
- 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/
question and answers(Math Overflow)
blogs
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- http://ncatlab.org/nlab/show/HomePage
experts on the field