SINGULAR MEASURES IN CIRCLE DYNAMICS

Authors
GRACZYK J SWIATEK G
Citation
J. Graczyk et G. Swiatek, SINGULAR MEASURES IN CIRCLE DYNAMICS, Communications in Mathematical Physics, 157(2), 1993, pp. 213-230
Citations number
15
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
157
Issue
2
Year of publication
1993
Pages
213 - 230
Database
ISI
SICI code
0010-3616(1993)157:2<213:SMICD>2.0.ZU;2-M
Abstract
Critical circle homeomorphisms have an invariant measure totally singu lar with respect to the Lebesgue measure. We prove that singularities of the invariant measure are of Holder type. The Hausdorff dimension o f the invariant measure is less than 1 but greater than 0.