6 citations · 11 across the 4 of their papers we have counts for
6 papers
Normal distribution of correlation measures of binary sum-of-digits functions
Jordan Emme, Pascal Hubert
In this paper we study correlation measures introduced in \cite{emme_asymptotic_2017}. Denote by the asymptotic density of the set $\mathcal{E}_{a,d}=\{n \in \mathbb{N}, \…
Limit laws for random matrix products
Jordan Emme, Pascal Hubert
In this short note, we study the behaviour of a product of matrices with a simultaneous renormalization. Namely, for any sequence of complex…
Spectral measure at zero for self-similar tilings
Jordan Emme
The goal of this paper is to study the action of the group of translations over self-similar tilings in the euclidian space . It investigates the behaviour near zero…
Central Limit Theorem for probability measures defined by sum-of-digits function in base 2
Jordan Emme, Pascal Hubert
In this paper we prove a central limit theorem for some probability measures defined as asymtotic densities of integer sets defined via sum-of-digit-function. To any integer a we c…
Thermodynamic formalism and -bonacci substitutions
Jordan Emme
We study -bonacci substitutions. For each we define a renormalization operator associated to it and examine its iterates over potentials in a certain class. We also study the pr…
On the asymptotic behaviour of the correlation measure of sum-of-digits function in base 2
Jordan Emme, Alexander Prikhod'Ko
Let denote the number of digits "" in a binary expansion of any . We study the mean distribution of the quantity for a fix…