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Positive Lyapunov Exponent for Some Schrödinger Cocycles Over Strongly Expanding Circle Endomorphisms
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2020 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 379, no 1, p. 353-360Article in journal (Refereed) Published
Abstract [en]

We show that for a large class of potential functions and big coupling constant λ the Schrödinger cocycle over the expanding map x↦bx(mod1) on T has a Lyapunov exponent > (log λ) / 4 for all energies, provided that the integer b≥ λ3.

Place, publisher, year, edition, pages
Springer Science and Business Media Deutschland GmbH , 2020. Vol. 379, no 1, p. 353-360
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:kth:diva-288069DOI: 10.1007/s00220-020-03810-4ISI: 000549310600007Scopus ID: 2-s2.0-85088049023OAI: oai:DiVA.org:kth-288069DiVA, id: diva2:1512678
Note

QC 20201228

Available from: 2020-12-28 Created: 2020-12-28 Last updated: 2022-06-25Bibliographically approved

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Bjerklöv, Kristian

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