6 citations · 15 across the 7 of their papers we have counts for
8 papers
Symmetric tensor powers of graphs
Weymar Astaiza, Alexander J. Barrios, Henry Chimal-Dzul +5
The symmetric tensor power of graphs is introduced and its fundamental properties are explored. A wide range of intriguing phenomena occur when one considers symmetric tensor power…
Disjoint frequently hypercyclic pseudo-shifts
Özgür Martin, Quentin Menet, Yunied Puig
We obtain a Disjoint Frequent Hypercyclicity Criterion and show that it characterizes disjoint frequent hypercyclicity for a family of unilateral pseudo-shifts on …
Existence of disjoint frequently hypercyclic operators which fail to be disjoint weakly mixing
Özgür Martin, Yunied Puig
In this short note, we answer a question of Martin and Sanders [Integr. Equ. Oper. Theory, 85 (2) (2016), 191-220] by showing the existence of disjoint frequently hypercyclic opera…
Ideal of hypercyclic operators that factor through
Asuman Guven Aksoy, Yunied Puig
We study the injective and surjective hull of operator ideals generated by hypercyclic backward weighted shifts that factor through .
Frequent hypercyclicity and piecewise syndetic recurrence sets
Yunied Puig
Motivated by a question posed by Sophie Grivaux concerning the regularity of the orbits of frequently hypercylic operators, we show the following: for any operator on a separab…
A mixing operator for which is not disjoint transitive
Yunied Puig
Using a result from ergodic Ramsey theory, we answer a question posed by Bès, Martin, Peris and Shkarin by showing a mixing operator on a Hilbert space such that the tuple $(T,…
Linear dynamics and recurrence properties defined via essential idempotents of
Yunied Puig
Consider a non-empty set of subsets of . An operator on satisfies property if for any non-empty open set in , t…
Disjoint Hypercyclicity along filters
Yunied Puig
We extend a result of Bès, Martin, Peris and Shkarin by stating: is -weighted backward shift if and only if is -, for any $r…