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pro vyhledávání: '"Dajani, K."'
Autor:
Dajani, K., Kong, Derong, Komornik, Vilmos, Li, Wenxia, Sub Mathematical Modeling, Mathematical Modeling
Publikováno v:
Indagationes Mathematicae, 29(4). Elsevier
Given $x\in(0, 1]$, let $\mathcal U(x)$ be the set of bases $q\in(1,2]$ for which there exists a unique sequence $(d_i)$ of zeros and ones such that $x=\sum_{i=1}^\infty d_i/q^i$. L\"{u}, Tan and Wu (2014) proved that $\mathcal U(x)$ is a Lebesgue nu
Autor:
Dajani, K., Komornik, Vilmos, Loreti, Paola, Sub Mathematical Modeling, Mathematical Modeling
Publikováno v:
Analysis Mathematica, 44(2), 207. Springer
We discuss the optimality of Kahane’s multidimensional Ingham type theorem and we establish a relationship between the absolute continuity of Bernoulli convolutions and some results on expansions in non-integer bases.
Publikováno v:
Indagationes Mathematicae, 28(1), 74. Elsevier
For any n ≥ 3 , let 1 β 2 be the largest positive real number satisfying the equation β n = β n − 2 + β n − 3 + ⋯ + β + 1 . In this paper we define the shrinking random β -transformation K and investigate natural invariant measures for
Publikováno v:
Journal of Approximation Theory, 227, 1. Academic Press Inc.
The N -continued fraction expansion is a generalization of the regular continued fraction expansion, where the digits 1 in the numerators are replaced by the natural number N . Each real number has uncountably many expansions of this form. In this ar
Publikováno v:
Nonlinearity, 30(2), 659. IOP PUBLISHING LTD
Let $K\subset \mathbb{R}$ be a self-similar set generated by some iterated function system. In this paper we prove, under some assumptions, that K can be identified with a subshift of finite type. With this identification, we can calculate the Hausdo
Publikováno v:
Acta Arithmetica, 178(1), 1. Instytut Matematyczny
In this article we study the first return map defined on the switch region induced by the greedy and lazy maps. In particular we study the allowable sequences of return times, and when the first return map is a generalised L¨uroth series transformat