Publications

2012

• Partial quasi-morphisms and quasi-states on cotangent bundles, and symplectic homogenization
  
  • Monzner Alexandra
  • Vichery Nicolas
  • Zapolsky Frol
  Journal of modern dynamics, American Institute of Mathematical Sciences, 2012, pp.205-249. For a closed connected manifold N, we construct a family of functions on the Hamiltonian group G of the cotangent bundle T^*N, and a family of functions on the space of smooth functions with compact support on T^*N. These satisfy properties analogous to those of partial quasi-morphisms and quasi-states of Entov and Polterovich. The families are parametrized by the first real cohomology of N. In the case N=T^n the family of functions on G coincides with Viterbo's symplectic homogenization operator. These functions have applications to the algebraic and geometric structure of G, to Aubry-Mather theory, to restrictions on Poisson brackets, and to symplectic rigidity.
• En hommage à Jean-Marie Souriau, quelques souvenirs
  
  • Kosmann-Schwarzbach Yvette
  Gazette des Mathématiciens, Société Mathématique de France, 2012, 133, pp.105-106.