Pierre Lochak
Centre de Mathématiques de Jussieu
Université Paris Pierre et Marie Curie
Tour 15-25 , 5e étage
4, place Jussieu
F-75252 PARIS CEDEX 05
Tel: +33 01 44 27 53 42
E-mail: pierre.lochak@imj-prg.fr
URL: http://www.imj-prg.fr/~pierre.lochak
- Liste des publications mathématiques
(pdf)
Choix de textes:
- About the adiabatic stability of resonant states
(pdf)
- On the adiabatic stability of solitons
(pdf)
- Démonstration linéaire du théorème adiabatique quantique
(pdf)
- Soliton generation in the forced nonlinear Schrödinger equation
(pdf)
- On the second Painlevé equation: the connection formula
(pdf)
- Une propriété des exposants de Kowalevska; critère de Painlevé
(pdf)
- Multiphase averaging for classical systems
(pdf)
- Multiphase averaging for generalized flows on manifolds
(pdf)
- A realistic exponential estimate for a paradigm Hamiltonian
(pdf)
- Effective speed of Arnold's diffusion and small denominators
(pdf)
- Canonical perturbation theory via simultaneous approximation
(pdf ; Russian version
pdf)
- Estimates of stability time for nearly integrable system with a quasiconvex Hamiltonian
(pdf)
- Hamiltonian perturbation theory: periodic orbits, resonances and intermittency
(pdf)
- Arnold diffusion; a compendium of remarks and questions
(pdf)
- Sur l'approximation des vecteurs de Bruno
(pdf)
- Tores invariants à torsion évanescente
(pdf)
- Stability of nearly integrable convex Hamiltonian systems
(pdf)
- On the splitting of invariant manifolds in multidimensional near-integrable Hamiltonian systems
(pdf)
- Simultaneous diophantine approximation in classical perturbation theory: Why and what for?
(pdf)
- Diffusion times and stability exponents for nearly integrable analytic systems
(pdf)
- The arithmetic Galois action on the fundamental group of the thrice punctured sphere
(pdf)
- The Grothendieck-Teichmüller group and automorphisms of braid groups
(pdf)
- On the universal Ptolemy-Teichmüller groupoid
(pdf)
- The fundamental groups at infinity of the moduli spaces of curves
(pdf)
- Introduction à la géométrie des espaces des modules des courbes
(pdf)
- A cohomological interpretation of the Grothendieck-Teichmüller group
(pdf)
- On the Teichmüller tower of mapping class groups
(pdf)
- An infinitesimal trace formula for the Laplace operator on compact Riemann surfaces
(pdf)
- On the fundamental groups at infinity of the moduli spaces of compact Riemann surfaces
(pdf)
- Fragments of nonlinear Grothendieck-Teichmüller theory
(pdf)
- On arithmetic curves in the moduli spaces of curves
(pdf)
- Eigenloci of 5 point configurations on the Riemann sphere and the Grothendieck-Teichmüller group
(pdf)
- Open problems in Grothendieck-Teichmüller theory
(pdf)
- Results and conjectures in profinite Teichmüller theory
(pdf)
- Every acyclotomic element of the profinite Grothendieck-Teichmüller group is a twist
(pdf)
- On the Broadhurst-Kreimer conjectures
(pdf)
- Garside elements, inertia and Galois action on braid groups
(pdf)
- Groupe fondamental des champs algébriques, inertie et action galoisienne
(pdf)
- Profinite Completions of Burnside-Type Quotients of Surface Groups
(pdf)
- Modules de Drinfeld Quasicristallins
(pdf)
- Elliptic Multiple Zeta Values and the Elliptic Double Shuffle Relations
(pdf)
- Automorphisms groups of profinite complexes of curves and the Grothendieck-Teichmüller group
(pdf)
- On procongruence curve complexes and their automorphisms
(pdf)
- Polarités mathématiques (Annexe à un livre en cours d'écriture)
(pdf)
- La science dans la confusion des temps : entre saturation et vacuité (version provisoire)
(pdf)
- Postface au recueil d'essais de Yuri Manin intitulé "Les mathématiques comme métaphore"
(pdf)
- Grandeur et misère de la raison chez Pascal
(pdf)