Speaker
Stefano Galatolo
(Università di Pisa)
Description
This talk explores discrete time random dynamical systems featuring regularizing noise.
I will present cases where complex systems having highly complex behaviors are effectively summarized by streamlined map-plus-noise models.
These models are data-driven, constructed directly from the system's own time series.
I will then discuss how the regularizing effect of noise facilitates the study of statistical properties via the associated transfer operator, highlighting current research directions pursued by the active mathematical community in Pisa.
