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Analysis of institutional authors

Bartoll, SAuthorPeris, ACorresponding Author

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October 30, 2024
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Article

Chaos for the Dynamics of Toeplitz Operators

Publicated to: Mathematics. 10 (3): 1-14 - 2022-01-01 10(3), DOI: 10.3390/math10030425

Authors:

Bartoll Arnau, Salud; Jiménez-Munguía, Ronald Richard; Martínez-Avendaño, Rubén Alejandro; Peris Manguillot, Alfredo
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Affiliations

Inst Tecnol Autonomo Mexico, Campus Rio Hondo, Mexico City 01080 - Author
Inst Tecnol Estudios Superiores Monterrey, Campus Hidalgo - Author
Univ Politecn Valencia, Dept Matemat Aplicada, ETS Arquitectura - Author
Univ Politecn Valencia, Inst Univ Matemat Pura i Aplicada, ETS Arquitectura - Author
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Abstract

Chaotic properties in the dynamics of Toeplitz operators on the Hardy-Hilbert space H-2(D) are studied. Based on previous results of Shkarin and Baranov and Lishanskii, a characterization of different versions of chaos formulated in terms of the coefficients of the symbol for the tridiagonal case are obtained. In addition, easily computable sufficient conditions that depend on the coefficients are found for the chaotic behavior of certain Toeplitz operators.
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Keywords

BehaviorChaosHypercyclic operatorsModelsToeplitz operators

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Mathematics due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2022, it was in position 23/330, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics. Notably, the journal is positioned above the 90th percentile.

From a relative perspective, and based on the normalized impact indicator calculated from World Citations provided by WoS (ESI, Clarivate), it yields a value for the citation normalization relative to the expected citation rate of: 1.88. This indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: ESI Nov 13, 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2026-04-04, the following number of citations:

  • WoS: 5
  • Scopus: 5
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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2026-04-04:

  • The use, from an academic perspective evidenced by the Altmetric agency indicator referring to aggregations made by the personal bibliographic manager Mendeley, gives us a total of: 2.
  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 2 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 1.

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
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Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Mexico; Switzerland.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (Bartoll Arnau, Salud) and Last Author (Peris Manguillot, Alfredo).

the author responsible for correspondence tasks has been Peris Manguillot, Alfredo.

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Awards linked to the item

The first and fourth authors were supported by MCIN/AEI/10.13039/501100011033, Project PID2019-105011GB-I00. The third author's research is partially supported by the Asociacion Mexicana de Cultura A.C. The fourth author was also supported by Generalitat Valenciana, Project PROMETEU/2021/070.
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