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math.PR2026
The Yang-Mills measure on surfaces via Morse theory
Reda Chhaibi, Nguyen Viet Dang, Yannick Guedes Bonthonneau +2
We introduce a Morse theoretical approach to the construction of the Yang--Mills measure on the space of connections of a compact Riemannian surface. This provides a direct continu…
math.PR2022
Geodesic Lévy flights and expected stopping time for random searches
Yann Chaubet, Yannick Guedes Bonthonneau, Thibault Lefeuvre +1
We give an analytic description for the infinitesimal generator constructed by Applebaum-Estrade for Lévy flights on a broad class of closed Riemannian manifolds including all nega…