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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.AP2019
On the two-power nonlinear Schrödinger equation with non-local terms in Sobolev-Lorentz spaces
Vanessa Barros, Lucas C. F. Ferreira, Ademir Pastor
We are concerned with the two-power nonlinear Schrödinger-type equations with non-local terms. We consider the framework of Sobolev-Lorentz spaces which contain singular functions…