SU\G(𝔸)/K·U

Continued fraction Cantor sets, Hausdorff dimension, and functional analysis

Doug Hensley

Type: Article

Publication Date: 1992-03-01

Citations: 107

DOI: https://doi.org/10.1016/0022-314x(92)90006-b

Locations

  • Journal of Number Theory - View

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+ Dynamics of Ostrowski skew-product: I. Limit laws and Hausdorff dimensions 2021 Valérie Berthé
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+ PDF Chat Hausdorff dimension estimates applied to Lagrange and Markov spectra, Zaremba theory, and limit sets of Fuchsian groups 2022 Mark Pollicott
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+ PDF Chat From Apollonius to Zaremba: Local-global phenomena in thin orbits 2013 Alex Kontorovich
+ PDF Chat A Hausdorff measure version of the Jarník–Schmidt theorem in Diophantine approximation 2017 David Simmons
+ PDF Chat Applications of Thin Orbits 2016 Alex Kontorovich
+ Expanding maps and continued fractions 2014 Michael Magee
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+ Non-commutative methods in additive combinatorics and number theory 2021 Ilya D. Shkredov
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Works Cited by This (12)

Action Title Year Authors
+ PDF Chat On the theorem of Gauss-Kusmin-LĂ©vy and a Frobenius-type theorem for function spaces 1974 Eduard Wirsing
+ On the relaxation time of Gauss's continued-fraction map I. The Hilbert space approach (Koopmanism) 1987 Dieter Mayer
Gert Roepstorff
+ The Hausdorff dimensions of some continued fraction cantor sets 1989 Doug Hensley
+ PDF Chat On the thermodynamic formalism for the gauss map 1990 Dieter Mayer
+ Bifurcation, perturbation of simple eigenvalues, itand linearized stability 1973 Michael G. Crandall
Paul H. Rabinowitz
+ On the relaxation time of Gauss' continued-fraction map. II. The Banach space approach (transfer operator method) 1988 Dieter Mayer
Gert Roepstorff
+ The distribution of badly approximable rationals and continuants with bounded digits, II 1990 Doug Hensley
+ PDF Chat A truncated Gauss-Kuz′min law 1988 Doug Hensley
+ Continuants with bounded digits—II 1978 Thomas W. Cusick
+ The distribution of badly approximable numbers and continuants with bounded digits 1989 Doug Hensley