3 papers
math.SP2026
Quantum mixing on large Schreier graphs
Charles Bordenave, Cyril Letrouit, Mostafa Sabri
We prove quantum ergodicity and quantum mixing for sequences of finite Schreier graphs converging to an infinite Cayley graph whose adjacency operator has absolutely continuous spe…
math.OC2025
Unstable optimal transport maps
Cyril Letrouit
The stability of optimal transport maps with respect to perturbations of the marginals is a question of interest for several reasons, ranging from the justification of the lineariz…
math.MG2025
Stability of optimal transport maps on Riemannian manifolds
Jun Kitagawa, Cyril Letrouit, Quentin Mérigot
We prove quantitative bounds on the stability of optimal transport maps and Kantorovich potentials from a fixed source measure under variations of the target measure , when…