2004/06/30 by Élise Janvresse, Elise Janvresse, Thierry de la Rue +1
Chemistry · Mathematics · #Chromatography in Natural Products #Mathematical Dynamics and Fractals #advanced mathematical theories #math.CO #math.PR #msc:28A80 #msc:37A30
paper · pdf · doi:10.1142/s0219493705001250
published as Stochastics and dynamics 5, no.1, pp 1-25 (2005) · version to appear in Stochastics and Dynamics. We added a discussion on the links with Conway 10,000$ recursive sequence
openalex publication_date 2005/01/25 · arxiv created 2005/02/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let T be the Pascal-adic transformation. For any measurable function g, we consider the corrections to the ergodic theorem [Formula: see text] When seen as graphs of functions defined on 0,…,ℓ - 1, we show for a suitable class of functions g that these quantities, once properly renormalized, converge to (part of) the graph of a self-affine function. The latter only depends on the ergodic component of x, and is a deformation of the so-called Blancmange function. We also briefly describe the links with a series of works on Conway recursive 10,000 sequence.