We consider stochastic processes arising from dynamical systems by evaluating an observable function
We consider stochastic processes arising from dynamical systems by evaluating an observable function along the orbits of the system. We review some results about the existence of Extreme Value Laws for such processes with special emphasis on the clustering effect associated to observables achieving a global maximum at a periodic point. Then we consider recent developments where the observables have  multiple maximal points which are correlated or bound by belonging to the same orbit of a certain chosen point. These multiple correlated maxima can be seen as a new mechanism creating clustering which we will explore.  The systems considered include expanding maps of the interval such as Rychlik maps but also maps with an indifferent fixed point such as Manneville-Pommeau maps.

Date and Venue

Start Date
Venue
Room M029

Speaker

Jorge Freitas

Area

Dynamical Systems