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Welcome!

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I am a PhD student at Université d’Avignon et de Pays de Vaucluse (Avignon, France). I am currently preparing my mathematical PhD thesis Asymptotic Maslov indices under the supervision of Professor Marie-Claude Arnaud and Andrea Venturelli.

My main research interests are dynamical systems. In particular I am working on the Asymptotic Maslov index. This quantity describes how the dynamics makes tangent vectors “rotate” asymptotically. In 2-dimension dynamics it refers to the asymptotic angular velocity of the images of the vectors under the tangent diffeomorphism. In higher dimension this notion is well-defined for symplectic systems. I am interested in the connections between the Asymptotic Maslov index and properties of the system, such as integrability, chaotic behavior…

I am also interested in topological dynamics and its connections with Lyapunov functions: I am working with Olga Bernardi on this argument.