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no. 2
Sufficient conditions for rescaling expansivity
[Conditions suffisantes pour redimensionner l’expansivité]
Arnoldo Rojas1 ; Xiao Wen2 ; Yinong Yang3
1 Beijing Advanced Innovation Center for Future Blockchain and Privacy Computing, Beihang University, Beijing, China & Beijing Academy of Blockchain and edge Computing, Beijing, 100086, China
2 LMIB, Institute of Artificial Intelligence and School of Mathematical Science, Beihang University, Beijing, 100086, China
3 School of Mathematics and Statistics, Liaoning University, Shenyang 110036, China
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 33 (2024) no. 2, pp. 447-467.

Nous montrons que tout champ de vecteurs k*-expansif d’une variété fermée est rééchelonné expansif. Cela améliore le résultat principal dans [5]. La preuve repose sur la nouvelle notion de flux singulier-expansif qui sera étudiée.

We show that every k*-expansive vector field of a closed manifold is rescaling expansive. This improves the main result in [5]. The proof relies on the new notion of singular-expansive flow which will be studied.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/afst.1777
Classification : 37C10, 37B05
Mots clés : Singular-expansive, k*-expansive, Rescaling expansive

Arnoldo Rojas 1 ; Xiao Wen 2 ; Yinong Yang 3

1 Beijing Advanced Innovation Center for Future Blockchain and Privacy Computing, Beihang University, Beijing, China & Beijing Academy of Blockchain and edge Computing, Beijing, 100086, China
2 LMIB, Institute of Artificial Intelligence and School of Mathematical Science, Beihang University, Beijing, 100086, China
3 School of Mathematics and Statistics, Liaoning University, Shenyang 110036, China
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Arnoldo Rojas; Xiao Wen; Yinong Yang. Sufficient conditions for rescaling expansivity. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 33 (2024) no. 2, pp. 447-467. doi : 10.5802/afst.1777. https://afst.centre-mersenne.org/articles/10.5802/afst.1777/

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