Nalini Anantharaman

Nalini Anantharaman's research focuses on the geometric description of wave propagation. It combines dynamical systems theory, partial differential equations, symplectic and Riemannian geometry, and probability theory. In particular, the aim is to understand how the properties of geodesics, seen from the angle of ergodic theory, can be used to describe standing waves and the spectrum of elliptic operators of the type " laplacian " or " Schrödinger operators ". The term " quantum chaos " is used to link the chaotic character of geodesics to the disordered character of waves. She has also worked on wave propagation on large graphs, demonstrating delocalization phenomena, and is currently working on random geometry models.