29 citations · 96 across the 18 of their papers we have counts for
22 papers
Minimal distance between random orbits
Sébastien Gouëzel, Jérôme Rousseau, Manuel Stadlbauer
We study the minimal distance between two orbit segments of length n, in a random dynamical system with sufficiently good mixing properties. This problem has already been solved in…
Orbits closeness for slowly mixing dynamical systems
Jerome Rousseau, Mike Todd
Given a dynamical system, we prove that the shortest distance between two -orbits scales like to a power even when the system has slow mixing properties, thus building and i…
Stabilization of the damped plate equation under general boundary conditions
Jérôme Le Rousseau, Emmanuel Wend-Benedo Zongo
We consider a damped plate equation on an open bounded subset of R^d, or a smooth manifold, with boundary, along with general boundary operators fulfilling the Lopatinskii-Sapiro c…
Rényi entropy and pattern matching for run-length encoded sequences
Jerome Rousseau
In this note, we studied the asymptotic behaviour of the length of the longest common substring for run-length encoded sequences. When the original sequences are generated by an $α…
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…
Longest common substring for random subshifts of finite type
Jerome Rousseau
In this paper, we study the behaviour of the longest common substring for random subshifts of finite type (for dynamicists) or of the longest common substring for random sequences…