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4 papers · 2 filters
The dynamical Borel-Cantelli lemma and the waiting time problems
Stefano Galatolo, Dong Han Kim
We investigate the connection between the dynamical Borel-Cantelli and waiting time results. We prove that if a system has the dynamical Borel-Cantelli property, then the time need…
Complexity for extended dynamical systems
Claudio Bonanno, Pierre Collet
We consider dynamical systems for which the spatial extension plays an important role. For these systems, the notions of attractor, epsilon-entropy and topological entropy per unit…
High action orbits for Tonelli Lagrangians and superlinear Hamiltonians on compact configuration spaces
Alberto Abbondandolo, Alessio Figalli
Multiplicity results for solutions of various boundary value problems are known for dynamical systems on compact configuration manifolds, given by Lagrangians or Hamiltonians which…
The recurrence time for ergodic systems of infinite measures
Stefano Galatolo, Dong Han Kim, Kyewon Koh Park
We investigate quantitative recurrence in systems having an infinite measure. We extend the Ornstein-Weiss theorem for a general class of infinite systems estimating return time in…