Multifractals in Weyl asymptotic distribution
Nonlinearity, ISSN: 0951-7715, Vol: 24, Issue: 10, Page: 2785-2811
2011
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Article Description
We investigate the multifractal nature of a class of functions which naturally appears in the Weyl asymptotic distribution of the eigenvalues associated with the semi-classical limit of Schrödinger operators with compactly supported non-positive continuous potentials. As a consequence, we obtain a fine description of the local asymptotic distribution of the eigenvalues for potentials whose occupation measure is a Gibbs measure. © 2011 IOP Publishing Ltd & London Mathematical Society.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=80053281486&origin=inward; http://dx.doi.org/10.1088/0951-7715/24/10/008; https://iopscience.iop.org/article/10.1088/0951-7715/24/10/008; https://dx.doi.org/10.1088/0951-7715/24/10/008; https://validate.perfdrive.com/fb803c746e9148689b3984a31fccd902/?ssa=d725fcfc-c966-443a-8809-1a6da1000d35&ssb=18787209648&ssc=https%3A%2F%2Fiopscience.iop.org%2Farticle%2F10.1088%2F0951-7715%2F24%2F10%2F008&ssi=c4b49b21-8427-4a59-9853-e8b8650ea38b&ssk=support@shieldsquare.com&ssm=34232824735584673161896614291533634&ssn=49891a6fc9d99f3fa54a5f292bdddf883d9a2f0fbc69-9e01-4767-91fb3d&sso=eff4b809-259ac1c821e1bf1a1864263acf0157454daae94997a8b540&ssp=39695817331721226960172132079457279&ssq=06785990285984544194036784441796725652271&ssr=NTIuMy4yMTcuMjU0&sst=com.plumanalytics&ssu=&ssv=&ssw=&ssx=eyJfX3V6bWYiOiI3ZjYwMDBkOTY2YjBkNC1iNDc3LTQzMmYtYmU0My0xZTA0NjEwMTgxNzgxNzIxMjM2Nzg0NTAyNjYwNzUwMTctNDUzMWQwYTc4Y2UwNTYwYjE2MTg5IiwicmQiOiJpb3Aub3JnIiwidXpteCI6IjdmOTAwMGM0YTkyODFhLTVmYzEtNGRmMy1iODc2LWI5NjdkODk1YjkyNTItMTcyMTIzNjc4NDUwMjY2MDc1MDE3LTA1OWQ2OWFiY2YwMGVlYTAxNjE4OSJ9
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