ANR project Aléatoire, Dynamique et Spectre (ADYCT)

Home       Aims        Members        Publications        Events        Postdoc position      Missions

Aims of the research project.

The last fifteen years have witnessed several significant progress in the analytical understanding of chaotic dynamical systems, and at the same time in the study of models of random waves. Even if they took place in parallel, these new developments share many similarities in their objectives and methods: asymptotic distribution of eigenvalues, existence of spectral gaps, decay of correlations, etc. Both topics play a fundamental role in the study of quantized chaotic sytems, a domain colloquially referred to as quantum chaos. The aim of this proposal is to pursue the development of these topics, and develop the growing interactions between them. This will be achieved by focusing on three related tasks: