Enriched functional limit theorems for chaotic dynamics and heavy tailed observables
 
 
Description:  We consider stochastic processes arising from chaotic systems by evaluating an heavy tailed observable function along the orbits of the system. We prove the convergence of a normalised sum process to a Lévy process with excursions, designed to describe the oscillations observed during the clusters of extremal observations. The applications to specific systems include both hyperbolic and non-uniformly expanding systems.
Date:  2021-11-04
Start Time:   12:00
Speaker:  Jorge Freitas (CMUP, FCUP)
Institution:  CMUP, FCUP
Place:  Room 004, UP Math. Dept.
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