3 papers
math.SP2026
From geodesic flow to wave dynamics on hyperbolic surfaces
Frédéric Faure
We study the geodesic flow on the unit cotangent bundle of a closed hyperbolic surface , using the representation theory of .…
math-ph2025
Topological index formula in physical waves: spectral flow, Chern index and topological contacts
Léon Monnier, Frédéric Faure
We study a family of pseudodifferential operators (quantum Hamiltonians) on whose spectrum exhibits two energy bands exchanging a finite numb…
nlin.CD2025
Can quantum dynamics emerge from classical chaos?
Frédéric Faure
Anosov geodesic flows are among the simplest mathematical models of deterministic chaos. In this survey we explain how, quite unexpectedly, quantum dynamics emerges from purely cla…