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- Centre National de la Recherche ScientifiqueFR105 papers
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43 papers · 1 filter
Continuity of Lyapunov exponents in the C0 topology
Marcelo Viana, Jiagang Yang
We prove that the Bochi-Mañé theorem is false, in general, for linear cocycles over non-invertible maps: there are C0-open subsets of linear cocycles that are not uniformly hyperbo…
Expansivity and Shadowing in Linear Dynamics
Nilson C. Bernardes, Patricia R. Cirilo, Udayan B. Darji +2
In the early 1970's Eisenberg and Hedlund investigated relationships between expansivity and spectrum of operators on Banach spaces. In this paper we establish relationships betwee…
Geometric properties of the Markov and Lagrange spectra
Carlos Gustavo Moreira
We prove several results on (fractal) geometric properties of the classical Markov and Lagrange spectra. In particular, we prove that the Hausdorff dimensions of intersections of b…
Weakly harmonic oscillators perturbed by a conservative noise
Cedric Bernardin, Patricia Goncalves, Milton Jara
We consider a chain of weakly harmonic coupled oscillators perturbed by a conservative noise. We show that by tuning accordingly the coupling constant energy can diffuse like a Bro…
On higher Dirac structures
Henrique Bursztyn, Nicolas Martinez Alba, Roberto Rubio
We study higher-order analogues of Dirac structures, extending the multisymplectic structures that arise in field theory. We define higher Dirac structures as involutive subbundles…
Characterization of -extremal disks
José M. Espinar, Laurent Mazet
We show uniqueness for overdetermined elliptic problems defined on topological disks with boundary, i.e., positive solutions to in so…