Search results for "Limit of a sequence"

showing 2 items of 2 documents

On the topology of surfaces with the generalised simple lift property.

2020

In this paper, we study the geometry of surfaces with the generalised simple lift property. This work generalises previous results by Bernstein and Tinaglia, and it is motivated by the fact that leaves of a minimal lamination obtained as a limit of a sequence of properly embedded minimal disks satisfy the generalised simple lift property.

Pure mathematicsHyperbolic geometryminimal laminationAlgebraic geometryminimal surfaces01 natural sciencesLift (mathematics)differentiaaligeometriaMathematics - Geometric Topology510 Mathematics0103 physical sciencesFOS: MathematicsLimit of a sequence53A10 51H050101 mathematicstopologiaSimple lift propertyMathematicsProjective geometryColding and minicozzi theoryOriginal PaperMinimal surface010102 general mathematicscolding and minicozzi theory53A10Geometric Topology (math.GT)Minimal surfacesMinimal lamination16. Peace & justiceDifferential geometry51H05010307 mathematical physicsGeometry and Topologygeometriasimple lift propertyGeometriae dedicata
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Perturbation of the Lyapunov spectra of periodic orbits

2012

We describe all Lyapunov spectra that can be obtained by perturbing the derivatives along periodic orbits of a diffeomorphism. The description is expressed in terms of the finest dominated splitting and Lyapunov exponents that appear in the limit of a sequence of periodic orbits, and involves the majorization partial order. Among the applications, we give a simple criterion for the occurrence of universal dynamics.

Lyapunov functionGeneral MathematicsMathematical analysisPerturbation (astronomy)Dynamical Systems (math.DS)Lyapunov exponentSpectral linesymbols.namesakeFOS: MathematicssymbolsLimit of a sequencePeriodic orbitsDiffeomorphismMathematics - Dynamical SystemsMajorizationMathematicsProceedings of the London Mathematical Society
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