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Jérôme Buzzi’s

Mathematical Ramblings

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Session Talk at ICM 2026

Here are the slides of my talk at the ICM this year in Philadelphia: slides. The proceedings are now online and open access here.

Financement ANR NERDY (2027-2031)

A la troisième tentative, notre demande de financement NERDY pilotée par Sylvain Crovisier et Françoise Pène a été acceptée par l ANR. NERDY est l acronyme de Nonuniform hyperbolicity and Ergodic Theory in Dynamics. Les membres sont Crovisier, Buzzi, Chazottes, Dang, Florio, Leguil, Thomine (pôle terrestre géré à Orsay), Pène, Burguet, Gouëzel, Gourmelon, Leplaideur, Saussol, Schapira (pôle [ ]

Chaos on surfaces and beyond

For the proceedings of the International Congress of Mathematicians of 2026, I explained the notion of Strong Positive Recurrence (SPR) for diffeomorphisms developed with Sylvain Crovisier and Omri Sarig in a recent work. In my text, I present SPR as a step in the continuation of Smale s program aiming to describe more and more of [ ]

Publication: Minicourse on the entropic continuity of Lyapunov Exponents

In 2023 I was invited by IMPAN in the setting of a Simons Foundation semester. I presented a core special case of the joint result with Sylvain Crovisier and Omri Sarig. The final version of the notes of these 10 lectures are available from the Banach Center Publications (volume 131 (2026), pp. 211-283). A preprint [ ]

Exposé à l’ANR Thermogamas

Le 9 décembre 2025 j ai donné un exposé sur le formalisme thermodynamique nonlinéaire dans le cadre du séminaire en ligne de l ANR Thermogamas.

Exposé à l’université Paris-Nord

Le 21 janvier 2026 j ai donné un exposé coordonné avec Sylvain CROVISIER sur la notion de difféomorphimes fortement récurrents.

Exposé pour l’atelier Stochasticité Spontanée

Le 28 février 2026 j ai donné un exposé dans le cadre de l atelier Stochasticité spontanée, co-organisé à la Fondation des Treilles avec Laure Saint-Raymond et Jean-René Chazottes.

Measure maximizing the entropy for certain partially hyperbolic diffeomorphisms

On April 17, 2026, I gave an extended talk at USTC on measures maximizing the entropy in the setting of partially hyperbolic diffeomorphisms with center dimension one. After some background, I discussed a few classes where the analysis is quite complete: derived from Anosov, center fibration in circles, and discretized Anosov flows. I then focused [ ]

Frequent Pathologies in Dynamics

On April 1st, 2026 I gave a public talk at USTC. Such talks are intended for students (as well as faculty beyond dynamicists). My starting point was the following famous quotation of Henri Poincaré (1908): La logique parfois engendre des monstres [ ] au point de vue logique, ce sont ces fonctions étranges qui sont les [ ]

A new online seminar on ergodic theory starts today!

A new online seminar starts today (Tuesday 12th): The Long Run—Topics in Ergodic Theory (link: https://math.pku.edu.cn/teachers/lizq/seminars/ergodic_theory/index.html). It will be happening on the second Tuesday each month 10am-12pm US Eastern Time / 4-6pm CEST time / 10pm-12am China time. Today it will feature talks by Mark Pollicott and Oliver Jenkinson.