Seminario de Probabilidad y Procesos Estocásticos
Heterogeneous diffusion: uniqueness, non-uniqueness, and selection
Ilya Pavlyukevich, Friedrich Schiller University Jena
Auditorio Alfonso Nápoles Gándara
https://www.matem.unam.mx/actividades/seminarios/probabilidad-y-procesos-estocasticos/actividades/heterogeneous-diffusion-uniqueness-non-uniqueness-and-selection
Ilya Pavlyukevich, Friedrich Schiller University Jena
Auditorio Alfonso Nápoles Gándara
https://www.matem.unam.mx/actividades/seminarios/probabilidad-y-procesos-estocasticos/actividades/heterogeneous-diffusion-uniqueness-non-uniqueness-and-selection
Resumen: We study solutions of the irregular Stratonovich SDE. In particular we construct solutions spending positive time in 0, describe solutions spending zero time in 0, and show how a particular physically natural solution can be singled out by means of an additional external ambient noise.
This talk is based on the joint works with G. Shevchenko (Kiev).
https://www.matem.unam.mx/actividades/seminarios/probabilidad-y-procesos-estocasticos/actividades/heterogeneous-diffusion-uniqueness-non-uniqueness-and-selection