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math.DS2019
Shortest distance between multiple orbits and generalized fractal dimensions
Vanessa Barros, Jerome Rousseau
We consider rapidly mixing dynamical systems and link the decay of the shortest distance between multiple orbits with the generalized fractal dimension. We apply this result to mul…
math.DS2018
On the shortest distance between orbits and the longest common substring problem
Vanessa Barros, Lingmin Liao, Jerome Rousseau
In this paper, we study the behaviour of the shortest distance between orbits and show that under some rapidly mixing conditions, the decay of the shortest distance depends on the…