Cinquième rencontre de probabilités intégrables

vendredi 20 nov. 2026, 10:00 → 17:00 Europe/Paris

Salle Yvette Cauchois (IHP - Bâtiment Perrin)

La Cinquième rencontre de probabilités intégrables aura lieu le vendredi 20 novembre 2026 à l'Institut Henri Poincaré.

 

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Titles and Abstracts

Mini-course (2x1h) by Cédric Boutillier

Title: 

Abstract: 

Seminar talk (1h) by Elia Bisi (Università degli Studi di Firenze) 

Title:  Matrix Whittaker processes

Abstract: The log-gamma polymer is a prominent integrable model in the KPZ class: the law of its partition function is a marginal of a Whittaker measure, a positive-temperature analogue of the Schur measure. I will present a non-commutative generalisation, in which the “particles” are positive definite matrices. These evolve as interacting multiplicative random walks with inverse Wishart increments, arranged in a triangular array with push-and-block interactions. Using intertwining relations, we show that, for suitable random initial configurations, the bottom edge of the array evolves as an autonomous Markov process, with a kernel built from Whittaker functions of matrix arguments. For a singular initial state, its fixed-time law is a matrix Whittaker measure. Consequently, the matrix log-gamma polymer partition function is distributed as the first marginal of this measure.
Joint work with Jonas Arista and Neil O’Connell.

10:00 → 10:30 Accueil petit déjeuner

10:30 → 11:30 Elia Bisi : Matrix Whittaker processes

11:30 → 11:45 Pause

11:45 → 12:45 Mini-cours par Cédric Boutillier (partie 1)

12:45 → 14:00 Pause déjeuner

14:00 → 14:30 Exposés courts

• Panagiotis Zografos
• Yuan Miao
• Carla Mariana da Silva Pinheiro
• Thomas Lejeune

14:30 → 14:45 Pause

14:45 → 15:45 Mini-cours par Cédric Boutillier (partie 2)

15:45 → 16:00 Pause

16:00 → 16:30 Exposés courts

• Aurélien Grabsch
• Ivan Dornic
• Thomas Chouteau