Bes, J.; Martin O.; Peris Manguillot, Alfredo(Elsevier, 2011)
We characterize disjoint hypercyclicity and disjoint supercyclicity of finitely many linear fractional composition operators acting on spaces of holomorphic functions on the unit disc, answering a question of Bernal-González. ...
Bès, Juan P.; Martin, Özgür; Peris Manguillot, Alfredo; Shkarin, Stanislav A.(Elsevier, 2012-09-01)
Chan and Shapiro showed that each (non-trivial) translation operator f(z){mapping} Tλf(z+λ) acting on the Fréchet space of entire functions endowed with the topology of locally uniform convergence supports a universal ...
We characterize distributional chaos for linear operators on Fréchet spaces in terms of a computable condition (DCC), and also as the existence of distributionally irregular vectors. A sufficient condition for the existence ...
[EN] Four notions of distributional chaos, namely DC1, DC2, DC21/2 and DC3, are studied within the framework of operators on Banach spaces.. It is known that, for general dynamical systems, DC1 subset of DC2 subset of ...
In this article we answer in the negative the question of whether hypercyclicity is sufficient for distributional chaos for a continuous linear operator (we even prove that the mixing property does not suffice). Moreover, ...
Albanese, Angela A.; Barrachina Civera, Xavier; Mangino, Elisabetta Maria; Peris Manguillot, Alfredo(American Institute of Mathematical Sciences (AIMS), 2013-09)
Distributional chaos for strongly continuous semigroups is studied and characterized. It is shown to be equivalent to the existence of a distributionally irregular vector. Finally, a sufficient condition for distributional ...
Barrachina Civera, Xavier(Universitat Politècnica de València, 2013-04-26)
El caos distribucional fue introducido por Schweizer y Smítal en [SS94] a partir de
la noción de caos de Li-Yorke con el fín de implicar la entropía topológica positiva
para aplicaciones del intervalo compacto en sí ...
We study distributional chaos for the translation C 0-semigroup on weighted L p -spaces. Some sufficient conditions for distributional chaos expressed in terms of the weight are given. Moreover, we establish a complete ...
Bonet Solves, José Antonio; Kalmes, Thomas; Peris Manguillot, Alfredo(European Mathematical Society Publishing House, 2021)
[EN] We investigate dynamical properties such as topological transitivity, (sequential) hypercyclicity, and chaos for backward shift operators associated to a Schauder basis on LF-spaces. As an application, we characterize ...
Aroza Benlloch, Javier(Universitat Politècnica de València, 2015-11-09)
[EN] The purpose of the Ph.D. Thesis "Dynamics of strongly continuous semigroups associated to certain differential equations'' is to analyse, from the point of view of functional analysis, the dynamics of solutions of ...
[EN] An example of a weakly ergodic 3-isometry is provided in [3], we give new examples of weakly ergodic 3-isometries and study numerically hypercyclic m-isometries on finite and infinite dimensional Hilbert spaces. In ...
García Pinto, Paula(Universitat Politècnica de València, 2017-10-18)
[ES] En los últimos años, la inversión en bolsa por parte de inversores particulares y
empresas relacionadas con la banca es un hábito que ha ido consolidándose y
ha aumentado fuertemente.
Además del análisis fundamental, ...
[EN] Dynamical compactness with respect to a family as a new concept of chaoticity of a dynamical system was introduced and discussed in Huang et al. (J Differ Equ 260(9):6800-6827, 2016). In this paper we continue to ...
De la Rosa Penilla, Manuel; Frerick, Leonhard; Grivaux, Sophie; Peris Manguillot, Alfredo(Springer Verlag (Germany), 2012-08)
We prove that if X is any complex separable infinite-dimensional Banach space with an unconditional Schauder decomposition, X supports an operator T which is chaotic and frequently hypercyclic. This result is extended to ...
Mangino, Elisabetta M.; Peris Manguillot, Alfredo(Polskiej Akademii Nauk, Instytut Matematyczny, 2011)
We study frequent hypercyclicity in the context of strongly continuous semigroups of operators. More precisely, we give a criterion (sufficient condition) for a semigroup to be frequently hypercyclic, whose formulation ...
[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 ...
Bartoll Arnau, Salud(Universitat Politècnica de València, 2012-01-10)
Los operadores desplazamiento a izquierda proporcionan una clase de sistemas dinámicos en espacios infinito dimensionales. En esta memoria se da una caracterización de la hiperciclicidad y del caos, en el sentido de Devaney, ...
Bonet Solves, José Antonio; Calvo Roselló, Vicenta; Peris Manguillot, Alfredo; Ródenas Escribá, Francisco de Asís(Editorial Universitat Politècnica de València, 2023-09-27)
Este texto presenta una exposición detallada de la integración múltiple, los fundamentos de la teoría de campos y las integrales de línea y de superficie. Se ha añadido también un apéndice acerca de superficies cuádricas ...
[EN] The communication shows the methodology and results of the research project funded within the call for new lines of multidisciplinary research of “Programa de Apoyo a la investigación y desarrollo de la U.P.V. ...