[图书][B] A first course in ergodic theory
K Dajani, C Kalle - 2021 - taylorfrancis.com
A First Course in Ergodic Theory provides readers with an introductory course in Ergodic
Theory. This textbook has been developed from the authors' own notes on the subject, which …
Theory. This textbook has been developed from the authors' own notes on the subject, which …
Natural extensions and entropy of α-continued fractions
C Kraaikamp, TA Schmidt, W Steiner - Nonlinearity, 2012 - iopscience.iop.org
We construct a natural extension for each of Nakada's α-continued fraction transformations
and show the continuity as a function of α of both the entropy and the measure of the natural …
and show the continuity as a function of α of both the entropy and the measure of the natural …
The non-monotonicity of the entropy of α-continued fraction transformations
H Nakada, R Natsui - Nonlinearity, 2008 - iopscience.iop.org
We consider the α-continued fraction transformations T α, 0< α⩽ 1, the one parameter family
of one-dimensional maps. Recently, Luzzi and Marmi showed that the entropy of T α varies …
of one-dimensional maps. Recently, Luzzi and Marmi showed that the entropy of T α varies …
Dynamics of continued fractions and kneading sequences of unimodal maps
In this paper we construct a correspondence between the parameter spaces of two families
of one-dimensional dynamical systems, the alpha-continued fraction transformations …
of one-dimensional dynamical systems, the alpha-continued fraction transformations …
A canonical thickening of ℚ and the entropy of α-continued fraction transformations
C Carminati, G Tiozzo - Ergodic Theory and Dynamical Systems, 2012 - cambridge.org
We construct a countable family of open intervals contained in (0, 1] whose endpoints are
quadratic surds and such that their union is a full measure set. We then show that these …
quadratic surds and such that their union is a full measure set. We then show that these …
Structure of attractors for (a, b)-continued fraction transformations
S Katok, I Ugarcovici - arXiv preprint arXiv:1004.4200, 2010 - arxiv.org
We study a two-parameter family of one-dimensional maps and related (a, b)-continued
fractions suggested for consideration by Don Zagier. We prove that the associated natural …
fractions suggested for consideration by Don Zagier. We prove that the associated natural …
Tuning and plateaux for the entropy of α-continued fractions
C Carminati, G Tiozzo - Nonlinearity, 2013 - pubishingsupport.iopscience.iop.org
Tuning and plateaux for the entropy of -continued fractions Page 1 Nonlinearity PAPER Tuning
and plateaux for the entropy of α-continued fractions To cite this article: Carlo Carminati and …
and plateaux for the entropy of α-continued fractions To cite this article: Carlo Carminati and …
Continued fractions with 𝑆𝐿 (2, 𝑍)-branches: combinatorics and entropy
C Carminati, S Isola, G Tiozzo - Transactions of the American Mathematical …, 2018 - ams.org
Continued fractions with 𝑆𝐿(2,𝑍)-branches: combinatorics and entropy Page 1
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 370, Number 7 …
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 370, Number 7 …
[HTML][HTML] Invariant measures for continued fraction algorithms with finitely many digits
C Kraaikamp, N Langeveld - Journal of Mathematical Analysis and …, 2017 - Elsevier
In this paper we consider continued fraction (CF) expansions on intervals different from [0,
1]. For every x in such interval we find a CF expansion with a finite number of possible digits …
1]. For every x in such interval we find a CF expansion with a finite number of possible digits …
Invariant measures, matching and the frequency of 0 for signed binary expansions
K Dajani, C Kalle - Publications of the Research Institute for …, 2020 - ems.press
Invariant Measures, Matching and the Frequency of 0 for Signed Binary Expansions Page 1
Publ. RIMS Kyoto Univ. 56 (2020), 701–742 DOI 10.4171/PRIMS/56-4-2 Invariant Measures …
Publ. RIMS Kyoto Univ. 56 (2020), 701–742 DOI 10.4171/PRIMS/56-4-2 Invariant Measures …