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Abstrakty
We estimate from above and below the Hausdorff dimension of SRB measure for contracting-on-average baker maps.
Słowa kluczowe
Wydawca
Rocznik
Tom
Strony
219--229
Opis fizyczny
Bibliogr. 11 poz.
Twórcy
autor
- Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland, rams@impan.gov.pl
Bibliografia
- [B] H. G. Bothe, The Hausdorff dimension of certain solenoids, Ergodic Theory Dynam. Systems 15 (1995), 449-474.
- [Bo] R. Bowen, Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Springer, Heidelberg, 1975.
- [F] K. Falconer, Techniques in Fractal Geometry, Wiley, Chichester, 1997.
- [PS] M. Pollicott and K. Simon, The Hausdorff dimension of X-expansions with deleted digits, Trans. Amer. Math. Soc. 347 (1995), 967-983.
- [Rl] M. Rams, Absolute continuity of the SBR measure for non-linear fat baker maps, Nonlinearity 16 (2003), 1649-1655.
- [R2] —, Dimension estimates for invariant measures of contracting-on-average iterated function systems, preprint.
- [RS] M. Rams and K. Simon, Hausdorff and packing measure for solenoids, Ergodic Theory Dynam. Systems 23 (2003), 273-292.
- [SI] K. Simon, Hausdorff dimension for non-invertible maps, ibid. 13 (1993), 199-212.
- [S2] —, The Hausdorff dimension of the general Smale-Williams solenoid, Proc. Amer. Math. Soc. 125 (1997), 1221-1228.
- [SS] K. Simon and B. Solomyak, Hausdorff dimension for horseshoes in R3, Ergodic Theory Dynam. Systems 19 (1999), 1343-1363.
- [T] M. Tsujii, Fat solenoidal attractors, Nonlinearity 14 (2001), 1011-1027.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0011-0065