[HTML][HTML] Frequently recurrent operators
A Bonilla, KG Grosse-Erdmann… - Journal of Functional …, 2022 - Elsevier
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 …
dynamics, we study various stronger forms of recurrence for linear operators, in particular …
[HTML][HTML] Recurrence properties for linear dynamical systems: an approach via invariant measures
S Grivaux, A López-Martínez - Journal de Mathématiques Pures et …, 2023 - Elsevier
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 x 0, for an …
Ergodic Theory point of view. We show that from any reiteratively recurrent vector x 0, for an …
Hereditarily frequently hypercyclic operators and disjoint frequent hypercyclicity
F Bayart, S Grivaux, E Matheron, Q Menet - arXiv preprint arXiv …, 2024 - arxiv.org
We introduce and study the notion of hereditary frequent hypercyclicity, which is a
reinforcement of the well known concept of frequent hypercyclicity. This notion is useful for …
reinforcement of the well known concept of frequent hypercyclicity. This notion is useful for …
Recurrent subspaces in Banach spaces
A López-Martínez - International Mathematics Research Notices, 2024 - academic.oup.com
We study the spaceability of the set of recurrent vectors for an operator on a Banach space.
In particular, we find sufficient conditions for a quasi-rigid operator to have a recurrent …
In particular, we find sufficient conditions for a quasi-rigid operator to have a recurrent …
Linear dynamical systems
C Gilmore - arXiv preprint arXiv:2007.12647, 2020 - arxiv.org
This expository survey is dedicated to recent developments in the area of linear dynamics.
Topics include frequent hypercyclicity, $\mathcal {U} $-frequent hypercyclicity, reiterative …
Topics include frequent hypercyclicity, $\mathcal {U} $-frequent hypercyclicity, reiterative …
On frequently supercyclic operators and an F_ {\Gamma}-hypercyclicity criterior with applications
Given a Furstenberg family F and a subset {\Gamma} of C, we introduce and explore the
notions of F_ {\Gamma}-hypercyclic operator and F-hypercyclic scalar set. First, the study of …
notions of F_ {\Gamma}-hypercyclic operator and F-hypercyclic scalar set. First, the study of …
Characterization of hypercyclic weighted composition operators on the space of holomorphic functions
M Goliński, A Przestacki - Annales Polonici Mathematici, 2021 - impan.pl
Characterization of hypercyclic weighted composition operators on the space of
holomorphic functionsAll logo sign_in Unia Europejska A+ CATEGORY SCIENTIFIC UNIT …
holomorphic functionsAll logo sign_in Unia Europejska A+ CATEGORY SCIENTIFIC UNIT …
Combinatorial number theory, recurrence of operators and linear dynamics
A López Martínez - 2023 - riunet.upv.es
[EN] The thesis" Combinatorial Number Theory, Recurrence of Operators and Linear
Dynamics" is part of the study of the dynamics of linear operators, simply called Linear …
Dynamics" is part of the study of the dynamics of linear operators, simply called Linear …
f-Frequently hypercyclic -semigroups on complex sectors
We analyze f-frequently hypercyclic, q-frequently hypercyclic (q> 1 q> 1), and frequently
hypercyclic C_ 0 C 0-semigroups (q= 1 q= 1) defined on complex sectors, with values in …
hypercyclic C_ 0 C 0-semigroups (q= 1 q= 1) defined on complex sectors, with values in …