103 citations · 493 across the 27 of their papers we have counts for
33 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…
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 càdlàg functions for vector-valued processes arising in deterministic systems.…
Inducing techniques for quantitative recurrence and applications to Misiurewicz maps and doubly intermittent maps
Dylan Bansard-Tresse, Jorge Milhazes Freitas
We prove an abstract result establishing that one can obtain the convergence of Rare Events Point Processes counting the number of orbital visits to a sequence of shrinking target…
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…
Point processes of non stationary sequences generated by sequential and random dynamical systems
Ana Cristina Moreira Freitas, Jorge Milhazes Freitas, Mário Magalhães +1
We give general sufficient conditions to prove the convergence of marked point processes that keep record of the occurrence of rare events and of their impact for non-autonomous dy…