"Random matrix"의 두 판 사이의 차이
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| 17번째 줄: | 17번째 줄: | ||
<h5>random self-adjoint matrices</h5> | <h5>random self-adjoint matrices</h5> | ||
| − | Wigner matrices | + | * Wigner matrices |
| − | + | * Band magtrices | |
| − | Band magtrices | + | * Wishart matrix |
| − | + | * Heavy tails matrices | |
| − | Wishart matrix | + | * Adjacency matrix of Erdos-Renyi graph |
| − | |||
| − | Heavy tails matrices | ||
| − | |||
| − | Adjacency matrix of Erdos-Renyi graph | ||
| 33번째 줄: | 29번째 줄: | ||
<h5>Gaussian Wigner matrices</h5> | <h5>Gaussian Wigner matrices</h5> | ||
| − | + | * [http://www.math.ucla.edu/%7Eshlyakht/berkeley-07/conference/contrib/peche-talk.pdf http://www.math.ucla.edu/~shlyakht/berkeley-07/conference/contrib/peche-talk.pdf] | |
| − | + | * [http://www.math.ucla.edu/%7Eshlyakht/berkeley-07/conference/contrib/guionnet-talk.pdf http://www.math.ucla.edu/~shlyakht/berkeley-07/conference/contrib/guionnet-talk.pdf] | |
| − | |||
| − | |||
| − | [http://www.math.ucla.edu/%7Eshlyakht/berkeley-07/conference/contrib/guionnet-talk.pdf http://www.math.ucla.edu/~shlyakht/berkeley-07/conference/contrib/guionnet-talk.pdf] | ||
| 55번째 줄: | 48번째 줄: | ||
<h5>related items</h5> | <h5>related items</h5> | ||
| − | * [[non-intersecting paths]] | + | * [[non-intersecting paths]][[3091026|]] |
| − | |||
* [[Macdonald theory]] | * [[Macdonald theory]] | ||
| 90번째 줄: | 82번째 줄: | ||
* Random matrices as a paradigm | * Random matrices as a paradigm | ||
| − | + | * http://www.phys.ust.hk/yilong/research/PhaseSpaceNetHan.pdf | |
| − | http://www.phys.ust.hk/yilong/research/PhaseSpaceNetHan.pdf | + | * 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://www.ims.nus.edu.sg/Programs/randommatrix/files/sverdu_p.pdf | + | * [http://www.mathematik.uni-muenchen.de/%7Elerdos/SS09/Random/plan.html 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 | |
| − | [http://math.arizona.edu/events/AZschool/material/AZ10-erdos.pdf Universality of Wigner Random Matrices: a Survey of Recent Results] | ||
| − | |||
| − | [http://www.mathematik.uni-muenchen.de/%7Elerdos/SS09/Random/plan.html 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 | ||
2012년 4월 18일 (수) 16:45 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.
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
- 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
- non-intersecting paths[[3091026|]]
- 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)
blogs
- 구글 블로그 검색
- http://ncatlab.org/nlab/show/HomePage
experts on the field