Geometric Laplacians on Self-Conformal Fractal Curves in the Plane
De Naotaka Kajino
Global Solutions to Quadratic Systems of Stochastic Reaction-Diffusion Equations in Space-Dimension Two
De Julien Vovelle
Apparaît dans la collection : Anosov Dynamics / La dynamique des sytèmes d'Anosov
We will introduce some tools from analysis (in particular microlocal analysis) in order to understand the Fredholm theory of Anosov flows. We will then explain how these tools can be used to study a rigidity problem consisting in determining a Riemannian metric from the lengths of its marked closed geodesics, and we will describe a variational approach to study this problem locally near a fixed negatively curved Riemannian metric on a closed manifold.