Existence et non existence de tores invariants par des difféomorphismes symplectiques
Explicit Solutions of Classical Generalized Toda Models.
Exponential functionals of brownian motion and class-one Whittaker functions
We consider exponential functionals of a brownian motion with drift in ℝn, defined via a collection of linear functionals. We give a characterisation of the Laplace transform of their joint law as the unique bounded solution, up to a constant factor, to a Schrödinger-type partial differential equation. We derive a similar equation for the probability density. We then characterise all diffusions which can be interpreted as having the law of the brownian motion with drift conditioned on the law of...
Exponential of a hamiltonian in large subsets of a lattice and applications
Fibration of the phase space for the Korteweg-de Vries equation
In this article we prove that the fibration of by potentials which are isospectral for the 1-dimensional periodic Schrödinger equation, is trivial. This result can be applied, in particular, to -gap solutions of the Korteweg-de Vries equation (KdV) on the circle: one shows that KdV, a completely integrable Hamiltonian system, has global action-angle variables.
Field theory and KAM tori.
Foliation of phase space for the cubic non-linear Schrödinger equation
Forced vibrations of wave equations with non-monotone nonlinearities
Form Factors, KdV and Deformed Hyperelliptic Curves
Generalized fermionic discrete Toda hierarchy.
Generalized Weierstrass ...-functions and KP flows in affine spaces.
Geodesic Flow on SO(4) and Abelian Surfaces.
Geometric construction of the classical r-matrix for the elliptic Calogero-Moser system
By applying the Hamiltonian reduction technique we derive a matrix first order differential equation that yields the classical r-matrices of the elliptic (Euler-) Calogero-Moser systems as well as their degenerations.
Geometric quantization of the MIC-Kepler problem via extension of the phase space
Geometric realizations of bi-Hamiltonian completely integrable systems.
Global attraction to solitary waves for Klein-Gordon equation with mean field interaction
Global well-posedness for KdV in Sobolev spaces of negative index.
Hamiltonian flows of curves in and vector soliton equations of mKdV and sine-Gordon type.
Hamiltonian structure and new exact soliton solutions of some Korteweg--de Vries equations.
Hidden symmetries of integrable systems in Yang-Mills theory and Kähler geometry