Pierre Lochak

• Liste des publications (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)
• Profinite complexes of curves, their automorphisms and anabelian properties of moduli stacks of curves (pdf)
• Automorphisms groups of profinite complexes of curves and the Grothendieck-Teichmüller group (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)

• Mathématiques et finitude (extraits) (pdf)
• Alexandre Grothendieck: bref itinéraire mathématique (pdf)
• Alexandre Grothendieck (1928 - 2014) (Obituary - Notices of the AMS, April 2016) (pdf)