3 citations · 5 across the 5 of their papers we have counts for
5 papers
First integrals for non linear hyperbolic equations
Dikanaina Harrivel, Fréderic Hélein
Given a solution of a nonlinear wave equation on the flat space-time (with a real analytic nonlinearity), we relate its Cauchy data at two different times by nonlinear representati…
Covariant Deformation Quantization of Free Fields
Dikanaina Harrivel
We define covariantly a deformation of a given algebra, then we will see how it can be related to a deformation quantization of a class of observables in Quantum Field Theory. Then…
Perturbative classical and quantum field theory
Dikanaina Harrivel
In a first part we study the phi^{p+1}--field theory from the classical point of view. Using Butcher series we compute explicitly the perturbative expansion of the solutions and we…
Butcher series and control theory
Dikanaina Harrivel
We show how solutions of a non--linear differential equation can be written as sum indexed by planar trees: the Butcher series. Then we use that property in order to control non--l…
Planar Binary Trees and Perturbative Calculus of Observables in Classical Field Theory
Dikanaina Harrivel
Consider the Klein-Gordon equation coupled with an interaction term . For the linear Klein-Gordon equation, a kind of generalized Noether's theorem gives us a con…