6 papers
Application des groupes de Lie {à} la recherche des sym{é}tries des tissus implicites du plan
Jacky Cresson, Jordy Palafox
Alain H{é}naut's results on implicit web symmetry groups are revisited in the usual framework of Lie group actions on differential equations. A link is also given between the Lie a…
Séries hypergéométriques multiples et polyzêtas
Jacky Cresson, Stephane Fischler, Tanguy Rivoal
We describe a theoretical and effective algorithm which enables us to prove that rather general hypergeometric series and integrals can be decomposed as linear combinations of mult…
Phénomènes de symétrie dans des formes linéaires en polyzêtas
Jacky Cresson, Stephane Fischler, Tanguy Rivoal
We give two generalizations, in arbitrary depth, of the symmetry phenomenon used by Ball-Rivoal to prove that infinitely many values of Riemann function at odd integers are irr…
Lemme de coherence et théorème de Noether stochastique
Jacky Cresson, Sébastien Darses
The stochastic embedding procedure associates a stochastic Euler-Lagrange equation (SEL) to the standard Euler-Lagrange equation (EL). Can we derive (SEL) from a generalized least…
Plongement stochastique des systèmes lagrangiens
Jacky Cresson, Sébastien Darses
We define an operator which extends classical differentiation from smooth deterministic functions to certain stochastic processes. Based on this operator, we define a procedure whi…
Dynamique des nombres et physique des oscillateurs
Jacky Cresson
We consider the superheterodyning system discovered by Armstrong and Schottky in 1924. This system is the basic piece of any communication system. We prove that the frequency spect…