Bernardes, N. C. Jr.; Peris Manguillot, Alfredo; Ródenas Escribá, Francisco de Asís(Springer-Verlag, 2017)
[EN] We study several notions of chaos for hyperspace dynamics associated to continuous linear operators. More precisely, we consider a continuous linear operator on a topological vector space X, and the natural hyperspace ...
Conejero, J. Alberto; Martínez Jiménez, Félix; Peris Manguillot, Alfredo; Ródenas Escribá, Francisco De Asís(Springer-Verlag, 2021-02-09)
[EN] We provide a complete characterization of the possible sets of periods for Devaney chaotic linear operators on Hilbert spaces. As a consequence, we also derive this characterization for linearizable maps on Banach spaces.
Jiménez-Munguía, R. R; Martínez-Avendaño, Rubén A.; Peris Manguillot, Alfredo(Elsevier, 2013-06-02)
A bounded linear operator T on a Banach space X is called subspace-hypercyclic for a subspace M if Orb. (T, x) ∩ M is dense in M for a vector x∈ M. We show examples that answer some questions posed by H. Rezaei (2013) [7]. ...
Murillo Arcila, Marina(Universitat Politècnica de València, 2015-03-31)
The Ph.D. Thesis “Strong mixing measures and invariant sets in linear dynamics”
has three differenced parts. Chapter 0 introduces the notation,
definitions and the basic results that will be needed troughout the ...
Our purpose is to obtain a very effective and general method to prove that certain
C0-semigroups admit invariant strongly mixing measures. More precisely, we show that
the frequent hypercyclicity criterion for C0-semigroups ...
We construct strongly mixing invariant measures with full support for operators on F-spaces which satisfy the Frequent Hypercyclicity Criterion. For unilateral backward shifts on sequence spaces, a slight modification shows ...
[EN] Given a Furstenberg family F of subsets of N, an operator T on a topological vector space X is called F-transitive provided for each non-empty open subsets U, V of X the set {n is an element of Z(+) : T-n (U) boolean ...
Blanca Ruiz, Mohamed(Universitat Politècnica de València, 2014-09-23)
[EN] The design and construction of free-form structures is generally accomplished through the use of
either planar triangular facets or curved panels.
The construction with quadrilateral and hexagonal possesses a number ...
Caravaca Martínez, Silvana(Universitat Politècnica de València, 2021-09-13)
[ES] La Matemàtica i l'Arquitectura és un binomi inseparable des del principi de l'Arquitectura. La geometria com a vessant de la Matemàtica és el que dona vida a l'Arquitectura, com es mostra al llarg del treball. Des de ...
Crespo Llopis, María(Universitat Politècnica de València, 2022-01-19)
[ES] Frei Otto es uno de los arquitectos del siglo XX que más investigó las estructuras de forma activa, que visibilizan con mucha claridad la relación entre forma y estructura, con formas que siguen el flujo de las ...
We characterize when backward shift operators defined on Banach sequence spaces exhibit the strong specification property. In particular, within this framework, the specification property is equivalent to the notion of ...
Bartoll Arnau, Salud; Martínez Jiménez, Félix; Peris Manguillot, Alfredo; Ródenas Escribá, Francisco De Asís(Springer-Verlag, 2019-06)
[EN] We study one of the strongest versions of chaos for continuous dynamical systems, namely the specification property. We extend the definition of specification property for operators on a Banach space to strongly ...
Bartoll Arnau, Salud(Universitat Politècnica de València, 2016-03-10)
[EN] The dynamics of linear operators, namely linear dynamics, is mainly concerned with the behaviour of iterates of linear transformations. Hypercyclicity is the study of linear operators that possess a dense orbit. ...
Martínez Jiménez, Félix(Universitat Politècnica de València, 2015-10-01)
El objetivo de esta tesis es el estudio de la hiperciclicidad y el caos en espacios de Fréchet. Concretamente se abordan las siguientes cuestiones:
Estudio de la hiperciclicidad y el caos de operadores backward shift ...
[EN] In this paper we introduce a concept of weak stability for non-autonomous dynamical systems. We characterize the set of weak stable points and show that the set of weak stable points is residual, and investigate the ...