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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
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:
Acta Arithmetica, 184(3). Instytut Matematyczny
Let 1
Autor:
Dajani, K., de Vries, M., Komornik, V., Loreti, P., Stochastics, Sub Stochastics and Decision Theory begr
Publikováno v:
Proceedings of the American Mathematical Society, 140(2), 437. American Mathematical Society
For a given positive integer $m$, let $A=\set{0,1,...,m}$ and $q \in (m,m+1)$. A sequence $(c_i)=c_1c_2 ...$ consisting of elements in $A$ is called an expansion of $x$ if $\sum_{i=1}^{\infty} c_i q^{-i}=x$. It is known that almost every $x$ belongin
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
Publikováno v:
Acta Mathematica Hungarica, 125(1), 21. Springer Netherlands
We construct a planar version of the natural extension of the piecewise linear transformation T generating greedy β-expansions with digits in an arbitrary set of real numbers A = {a0, a1, a2}. As a result, we derive in an easy way a closed formula f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff417cdbc674d5e9a9cb1696c9320b34
https://dspace.library.uu.nl/handle/1874/197282
https://dspace.library.uu.nl/handle/1874/197282