1 citations · 2 across the 9 of their papers we have counts for
9 papers
Elementary remarks about Pisano periods
Gérard Henry Edmond Duchamp, Pierre Simonnet
In this short note, we reprove in a very elementary way some known facts about Pisano periods as well as some considerations about the link between Pisano periods and the order of…
Towards a noncommutative Picard-Vessiot theory
G. Duchamp, Viincel Hoang Ngoc Minh, Vu Nguyen Dinh +1
A Chen generating series, along a path and with respect to differential forms,is a noncommutative series on letters and with coefficients which are holomorphic functionsove…
Mathematical renormalization in quantum electrodynamics via noncommutative generating series
Gérard Henry Edmond Duchamp, Vincel Hoang Ngoc Minh, Quoc Hoan Ngo +2
In this work, we focus on on the approach by noncommutative formal power series to study the combinatorial aspects of the renormalization at the singularities in …
An Upper Bound on the Complexity of Recognizable Tree Languages
Olivier Finkel, Dominique Lecomte, Pierre Simonnet
The third author noticed in his 1992 PhD Thesis [Sim92] that every regular tree language of infinite trees is in a class for some natural number $n\geq…
Simulation of a viscous fluid spreading by a bidimensional shallow water model
Bernard Di Martino, Catherine Giacomoni, Jean-Martin Paoli +1
In this paper we propose a numerical method to solve the Cauchy problem based on the viscous shallow water equations in an horizontally moving domain. More precisely, we are intere…
On Recognizable Tree Languages Beyond the Borel Hierarchy
Olivier Finkel, Pierre Simonnet
We investigate the topological complexity of non Borel recognizable tree languages with regard to the difference hierarchy of analytic sets. We show that, for each integer $n \geq…