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Listar por autor "López Martínez, Antoni"

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Listar por autor "López Martínez, Antoni"

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    Combinatorial Number Theory, Recurrence of Operators and Linear Dynamics 
    López Martínez, Antoni (Universitat Politècnica de València, 2023-09-07)
    [ES] La tesis "Teoría Combinatoria de Números, Recurrencia de Operadores y Dinámica Lineal" se sitúa dentro del estudio de la dinámica de operadores lineales, o Dinámica Lineal. El objetivo de este trabajo es estudiar ...
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    Frequently recurrent operators 
    Bonilla, Antonio; Grosse-Erdmann, Karl G.; López-Martínez, Antoni; Peris Manguillot, Alfredo (Elsevier, 2022-12-15)
    [EN] Motivated by a recent investigation of Costakis et al. on the notion of recurrence in linear dynamics, we study various stronger forms of recurrence for linear operators, in particular that of frequent recurrence. We ...
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    Invariant measures from locally bounded orbits 
    López-Martínez, Antoni (Springer-Verlag, 2024-06-15)
    [EN] Motivated by recent investigations of Sophie Grivaux and & Eacute;tienne Matheron on the existence of invariant measures in Linear Dynamics, we introduce the concept of locally bounded orbit for a continuous linear ...
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    Recurrence properties for linear dynamical systems: An approach via invariant measures 
    Grivaux, Sophie; López-Martínez, Antoni (Elsevier, 2023-01)
    [EN] We study different pointwise recurrence notions for linear dynamical systems from the Ergodic Theory point of view. We show that from any reiteratively recurrent vector x0, for an adjoint operator T on a separable ...
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    Recurrencia frecuente en la dinámica de operadores 
    López Martínez, Antoni (Universitat Politècnica de València, 2020-09-02)
    [CA] L'objectiu del treball és l'estudi de la dinàmica d'operadors, i mes concretament nocions de recurrència per operadores. El treball contindrà les definicions i resultats bàsics de dinàmica topològica, de teoría ...
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    Recurrent Subspaces in Banach Spaces 
    López-Martínez, Antoni (Oxford University Press, 2024-01-20)
    [EN] We study the spaceability of the set of recurrent vectors $\text{Rec}(T)$ for an operator $T:X\longrightarrow X$ on a Banach space $X$. In particular, we find sufficient conditions for a quasi-rigid operator to have ...
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    Two remarks on the set of recurrent vectors 
    López-Martínez, Antoni; Menet, Quentin (Elsevier, 2025-01-01)
    [EN] We solve in the negative two open problems, related to the linear and topological structure of the set of recurrent vectors, asked by Sophie Grivaux, Alfred Peris and the first author of this paper. Firstly, we show ...