4 papers
Distributional results for the shortest distance between trajectories of different dynamics
Romain Aimino, Théophile Caby, Jorge Milhazes Freitas +1
We establish Extreme Value Distributions for the closest encounter between trajectories generated by different maps defined in the same reference phase space. For a class of strong…
A functional limit theorem for a dynamical system with an observable maximised on a Cantor set
Raquel Couto, Ana Cristina Moreira Freitas, Jorge Milhazes Freitas +1
We consider heavy-tailed observables maximised on a dynamically defined Cantor set and prove convergence of the associated point processes as well as functional limit theorems. The…
Enriched functional limit theorems for dynamical systems
Ana Cristina Moreira Freitas, Jorge Milhazes Freitas, Mike Todd
We prove functional limit theorems for dynamical systems in the presence of clusters of large values which, when summed and suitably normalised, get collapsed in a jump of the limi…
Convergence to decorated Lévy processes in non-Skorohod topologies for dynamical systems
Ana Cristina Moreira Freitas, Jorge Milhazes Freitas, Ian Melbourne +1
We present a general framework for weak convergence to decorated Lévy processes in enriched spaces of cà dlà g functions for vector-valued processes arising in deterministic syste…