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Analysis of institutional authors

Barral Lijo, RamonAuthor

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March 13, 2025
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Chaos for foliated spaces and pseudogroups

Publicated to: REVISTA MATEMATICA IBEROAMERICANA. 41 (1): 239-280 - 2025-01-01 41(1), DOI: 10.4171/rmi/1538

Authors:

Lijó, RB
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Affiliations

Univ Politecn Madrid, DMATIC, Campus Montegancedo S-N, Boadilla Del Monte 28660, Spain - Author

Abstract

We generalize "sensitivity to initial conditions" to foliated spaces and pseudogroups, offering a definition of Devaney chaos in this setting. In contrast to the case of group actions, where sensitivity follows from the other two conditions of Devaney chaos, we show that this is true only for compact foliated spaces, exhibiting a counterexample in the non-compact case. Finally, we obtain an analogue of the Auslander-Yorke dichotomy for compact foliated spaces and compactly generated pseudogroups.
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Keywords

ChaosDevaney chaosEquicontinuityFoliated spaceFoliationLaminatioLaminationMathematics subject classification 2020Periodic orbitsPseudogroupSensitivity

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal REVISTA MATEMATICA IBEROAMERICANA due to its progression and the good impact it has achieved in recent years, according to the agency Scopus (SJR), it has become a reference in its field. In the year of publication of the work, 2025, it was in position , thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics (Miscellaneous). Notably, the journal is positioned above the 90th percentile.

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Impact and social visibility

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.
  • Additionally, the work has been submitted to a journal classified as Diamond in relation to this type of editorial policy.
  • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://oa.upm.es/87884/

As a result of the publication of the work in the institutional repository, statistical usage data has been obtained that reflects its impact. In terms of dissemination, we can state that, as of

  • Views: 135
  • Downloads: 109
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Leadership analysis of institutional authors

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 (BARRAL LIJO, RAMON) .

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Awards linked to the item

This work was partially supported by grants PID2020-114474GB-I00 (AEI-FEDER, UE) , ED431C 2019/10 (Xunta de Galicia, FEDER) , and by the Research Promotion Program for Acquiring Grants in-Aid for Scientific Research (KAKENHI) by Ritsumeikan University.
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