skip to content
Level spacings for SL(2,p) Preview this item
ClosePreview this item
Checking...

Level spacings for SL(2,p)

Author: John D Lafferty; Daniel N Rockmore
Publisher: Pittsburgh, Pa. : School of Computer Science, Carnegie Mellon University, [1997]
Series: Research paper (Carnegie Mellon University. School of Computer Science), CMU-CS-97-106.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
Abstract: "We investigate the eigenvalue spacing distributions for randomly generated 4-regular Cayley graphs on SL₂(F[subscript p]) by numerically calculating their spectra. We present strong evidence that the distributions are Poisson and hence do not follow the Gaussian orthogonal ensemble. Among the Cayley graphs of SL₂(F[subscript p]) we consider are the new expander graphs recently discovered by Y. Shalom. In  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Document Type: Book
All Authors / Contributors: John D Lafferty; Daniel N Rockmore
OCLC Number: 36502629
Notes: "To appear in Emerging Applications of Number Theory, The IMA Volumes in Mathematics and its Applications, Eds.: A. Friedman, W. Miller, Jr., Springer Verlag, 1997."
"January 15, 1997."
Description: 13 pages : illustrations ; 28 cm.
Series Title: Research paper (Carnegie Mellon University. School of Computer Science), CMU-CS-97-106.
Responsibility: John D. Lafferty and Daniel N. Rockmore.

Abstract:

Abstract: "We investigate the eigenvalue spacing distributions for randomly generated 4-regular Cayley graphs on SL₂(F[subscript p]) by numerically calculating their spectra. We present strong evidence that the distributions are Poisson and hence do not follow the Gaussian orthogonal ensemble. Among the Cayley graphs of SL₂(F[subscript p]) we consider are the new expander graphs recently discovered by Y. Shalom. In addition, we use a Markov chain method to generate random 4-regular graphs, and observe that the average eigenvalue spacings are closely approximated by the Wigner surmise."

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


<http://www.worldcat.org/oclc/36502629>
library:oclcnum"36502629"
library:placeOfPublication
library:placeOfPublication
rdf:typeschema:Book
schema:about
schema:about
schema:about
schema:about
schema:about
schema:contributor
schema:creator
schema:datePublished"1997"
schema:description"Abstract: "We investigate the eigenvalue spacing distributions for randomly generated 4-regular Cayley graphs on SL₂(F[subscript p]) by numerically calculating their spectra. We present strong evidence that the distributions are Poisson and hence do not follow the Gaussian orthogonal ensemble. Among the Cayley graphs of SL₂(F[subscript p]) we consider are the new expander graphs recently discovered by Y. Shalom. In addition, we use a Markov chain method to generate random 4-regular graphs, and observe that the average eigenvalue spacings are closely approximated by the Wigner surmise.""@en
schema:exampleOfWork<http://worldcat.org/entity/work/id/34930671>
schema:inLanguage"en"
schema:isPartOf
schema:name"Level spacings for SL(2,p)"@en
schema:publication
schema:publisher
wdrs:describedby

Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.