Seminario de Probabilidad - Núcleo MESCD

Matthieu Jonckheere. UBA
Front propagation and quasi-stationary distributions for one-dimensional Lévy processes
Facultad de Matemáticas, Campus San Joaquín, PUC Chile (Sala por confirmar)
We jointly investigate the existence of quasi-stationary distributions for one-dimensional Lévy processes and the existence of traveling waves for the Fisher-Kolmogorov-Petrovskii-Piskunov (F-KPP) equation associated with the same motion. Using probabilistic ideas developed by S. Harris for the F-KPP equation, we show that the existence of a traveling wave for the F-KPP equation associated with a centered Lévy processes that branches at rate r and travels at velocity c is equivalent to the existence of a quasi-stationary distribution for a Lévy process with the same movement but drifted by -c and killed at zero, with mean absorption time 1/r. This allows to generalize the known existence conditions in both contexts.

Joint work with Pablo Groisman.
Johel Beltrán.
Martingale Problem and Trace Processes Applied To Metastability.
Sala 2 - Facultad de Matemáticas PUC a las 16:30 Hrs.
Inés Armendariz. Universidad de Buenos Aires
Metastability in a Condensing Zero-Range Process in The Thermodynamic Limit.
Sala 5, Facultad de Matemáticas, Campus San Joaquín - 17:00 Hrs.
Hiep Han.
Two Results Concerning Phase Transitions: Sharp Thresholds for Van Der Waerden´s Theorem and Biased Independent Sets in Regular Graphs
Sala 3, Sector Postgrado Facultad de Matemáticas UC 16:30 Hrs.