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Equilibrium states for non-uniformly hyperbolic systems: Statistical properties and analyticity
(2021-09-01)
We consider a wide family of non-uniformly expanding maps and hyperbolic Hölder continuous potentials. We prove that the unique equilibrium state associated to each element of this family is given by the eigenfunction of ...
Potential reconstruction for a class of hyperbolic systems from incomplete measurements
(IOP Publishing, 2018-08)
In this article, we study the reconstruction of spatially dependent potentials in n coupled hyperbolic equations in cascade from n - 1 components of the solution of the system. More precisely, we prove local uniqueness and ...
Potential Reconstruction For A Class Of Hyperbolic Systems From Incomplete Measurements
(2018)
In this article, we study the reconstruction of spatially dependent potentials in n coupled hyperbolic equations in cascade from n - 1 components of the solution of the system. More precisely, we prove local uniqueness and ...
Correlation Decay and Recurrence Asymptotics for Some Robust Nonuniformly Hyperbolic Maps
(2008)
We study a robust class of multidimensional non-uniformly hyperbolic transformations
considered by Oliveira and Viana (Ergod. Theory Dyn. Syst. 28:501–533, 2008).
For an open class of Hölder continuous potentials with small ...
A necessary condition ensuring the strong hyperbolicity of first-order systems
(World Scientific, 2018-11)
We study strong hyperbolicity of first order partial differential equationsfor systems with differential constraints. In these cases, the number ofequations is larger than the unknown fields, therefore, the standard ...
Optical Properties of Cylindrical Quantum Dots with Hyperbolic-Type Axial Potential under Applied Electric Field
(MDPIGrupo de Materia Condensada-UdeABasilea, Suiza, 2023)
Equilibrium states of weakly hyperbolic one-dimensional maps for holder potentials
(SPRINGER-VERLAG BERLIN, 2014)
Equilibrium states of weakly hyperbolic one-dimensional maps for holder potentials
(SPRINGER-VERLAG BERLIN, 2014)
A characterization of hyperbolic potentials of rational maps
(SPRINGER, 2012)