Zero temperature limit for the Brownian directed polymer among Poissonian disasters
Catégorie d'évènement : Séminaire Probabilités et Statistique Date/heure : 19 septembre 2019 10:45-11:45 Lieu : Oratrice ou orateur : Ryoki Fukushima Résumé :I am going to talk about a continuum model of directed polymer in random environment. The law of the polymer is defined as the Brownian motion conditioned to survive among space-time Poissonian disasters. This model is well-studied in the positive temperature regime. However, at zero-temperature, even the existence of the free energy has not been proved. Stefan Junk and I have proved that the free energy exists and is continuous at zero-temperature.
Discrete bilinear Radon transforms along arithmetic functions with many common values
Catégorie d'évènement : Séminaire de Théorie des Nombres de Nancy-Metz Date/heure : 19 septembre 2019 14:30-15:30 Lieu : Oratrice ou orateur : Xianchang Meng Résumé :Résumé