uu.seUppsala University Publications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Large Newforms of the Quantized Cat Map Revisited
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
2010 (English)In: Annales de l'Institute Henri Poincare. Physique theorique, ISSN 1424-0637, E-ISSN 1424-0661, Vol. 11, no 7, p. 1285-1302Article in journal (Refereed) Published
Abstract [en]

We study the eigenfunctions of the quantized cat map, desymmetrized by Hecke operators. In the papers (Olofsson in Ann Henri Poincar, 10(6):1111-1139, 2009; Math Phys 286(3):1051-1072, 2009) it was observed that when the inverse of Planck's constant is a prime exponent N = p (n) , with n > 2, half of these eigenfunctions become large at some points, and half remains small for all points. In this paper we study the large eigenfunctions more carefully. In particular, we answer the question of for which q the L (q) norms remain bounded as N goes to infinity. The answer is q a parts per thousand currency sign 4.

Place, publisher, year, edition, pages
2010. Vol. 11, no 7, p. 1285-1302
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-148660DOI: 10.1007/s00023-010-0057-0ISI: 000285783400004OAI: oai:DiVA.org:uu-148660DiVA, id: diva2:402652
Available from: 2011-03-09 Created: 2011-03-09 Last updated: 2017-12-11Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text
By organisation
Analysis and Applied Mathematics
In the same journal
Annales de l'Institute Henri Poincare. Physique theorique
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 415 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf