Charlene Kalle

activity

20082024

most citedBeta-expansions, natural extensions and multiple tilings associated with Pisot units

29 citations · 68 across the 21 of their papers we have counts for

collaborators

Showing 2017 · math.DSShow all

2 papers · 2 filters

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

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…