Séminaire Analyse
organisé par l'équipe Analyse
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Joffrey Mathien
Cutoff for geodesic path and Brownian motion on hyperbolic manifolds
22 janvier 2026 - 11:00Salle de conférences IRMA
For an ergodic dynamical system, the cutoff describes an abrupt transition to equilibrium. Historically introduced in seminal work by Diaconis, Shahshahani and Aldous for card shuffling and other random walks on finite groups, there are now numerous examples of Markov chains and Markov processes where the cutoff has been established. Most of the current examples are on finite spaces. In this talk, we study cutoff for classical processes -- namely Brownian motion and geodesic paths -- on compact hyperbolic manifolds, and we develop a spectral strategy introduced by Lubetzky and Peres in 2016 for Ramanujan graphs and further developed in different geometric contexts. In particular, we extend results obtained by Golubev and Kamber in 2019 to any dimension and still are able to obtain cutoff under weaker hypothesis. Based on a joint work with C. Bordenave -
Annalaura Stingo
TBA
29 janvier 2026 - 11:00Salle de conférences IRMA
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Théo Fradin
TBA
5 février 2026 - 11:00Salle de conférences IRMA
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Baptiste Louf
TBA
12 février 2026 - 11:00Salle de conférences IRMA
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Yingtong Hou
TBA
5 mars 2026 - 11:00Salle de conférences IRMA
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Jacques-Arthur Weil
TBA
12 mars 2026 - 11:00Salle de conférences IRMA
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András Vasy
TBA
26 mars 2026 - 11:00Salle de conférences IRMA
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Palmirotta Gwenda
TBA
2 avril 2026 - 11:00Salle de conférences IRMA
TBA