K. Dajani

activity

20062026

most citedMultiple codings for self-similar sets with overlaps

16 citations · 51 across the 31 of their papers we have counts for

collaborators

Showing 2017 · math.DSShow all

4 papers · 2 filters

math.DS2017

Algebraic sums and products of univoque bases

Karma Dajani, Vilmos Komornik, Derong Kong +1

Given $x \in (0, 1]$ , let $U (x)$ be the set of bases $q \in (1, 2]$ for which there exists a unique sequence $(d_{i})$ of zeros and ones such that $x = \sum_{i = 1}^{\infty} d_{i} / q^{i}$ .…

math.DS2017

Singular non-Pisot Bernoulli convolutions

Karma Dajani, Charlene Kalle

We identify a family of numbers for which the Bernoulli convolution is singular. Within this family we find two countable collections of Salem numbers in the interval $(1, 2)$ , and…

math.DS2017

On the points without universal expansions

Karma Dajani, Kan Jiang

Let $1 < β < 2$ . Given any $x \in [0, (β - 1)^{- 1}]$ , a sequence $(a_{n}) \in {0, 1}^{N}$ is called a $β$ -expansion of $x$ if $x = \sum_{n = 1}^{\infty} a_{n} β^{- n} .$ For any $k \geq 1$ and…

math.DS2017

Invariant measures, matching and the frequency of 0 for signed binary expansions

Karma Dajani, Charlene Kalle

We introduce a parametrised family of maps ${S_{η}}_{η \in [1, 2]}$ , called symmetric doubling maps, defined on $[- 1, 1]$ by $S_{η} (x) = 2 x - d η$ , where $d \in {- 1, 0, 1}$ . Each map $S_{η}$ g…