Laboratoire Paul Painlevé

A spatial scan statistical for categorical, functional data

We have developed and tested a spatial scan statistic for categorical, functional data (CFSS) - a data structure within which current approaches cannot identify spatial clusters. Our methodology combines an encoding scheme for categorical, functional observations with a nonparame...

The exceptional set of the Goldbach problem

Abstract We study the estimates for the number of exceptions to the representation of integers as the sum of at most two prime numbers. Most of this article is a survey that gives an overview of existing results. We begin with the legendary Hardy–Littlewood circle method and show...

Linear dynamics of random products of weighted shifts

The aim of this article is to study the dynamics of random products of weighted shifts on a separable Fréchet sequence space. That is, given a measure-preserving dynamical system $(Ω, \mathcal{F}, μ, τ)$, a Fréchet sequence space $X$ with a basis $(e_n)_{n \geq 0}$, and a strongl...