Functional Analysis/Dynamical Systems
On a Hölder covariant version of mean dimension
[Sur une modification Hölder covariante de la dimension moyenne]
Comptes Rendus. Mathématique, Tome 347 (2009) no. 23-24, pp. 1389-1392.

Soit Γ un groupe dénombrable infini qui agit naturellement sur p(Γ). Nous introduisons une obstruction, proche de la dimension moyenne, au fait que p(Γ) et q(Γ) soit Hölder conjugués.

Let Γ be a infinite countable group which acts naturally on p(Γ). We introduce a modification of mean dimension which is an obstruction for p(Γ) and q(Γ) to be Hölder conjugates.

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Accepté le :
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DOI : 10.1016/j.crma.2009.10.014
Gournay, Antoine 1

1 Department of Mathematics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan
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Gournay, Antoine. On a Hölder covariant version of mean dimension. Comptes Rendus. Mathématique, Tome 347 (2009) no. 23-24, pp. 1389-1392. doi : 10.1016/j.crma.2009.10.014. http://www.numdam.org/articles/10.1016/j.crma.2009.10.014/

[1] Benyamini, Y.; Lindenstrauss, J. Geometric Nonlinear Functional Analysis, vol. 1, American Mathematical Society Colloquium Publications, vol. 48, American Mathematical Society, Providence, RI, 2000

[2] Gournay, A. Width of p balls, 2008 (or p. 16; Houston J. Math., in press) | arXiv | HAL

[3] Gromov, M. Topological invariants of dynamical systems and spaces of holomorphic maps. I, Math. Phys. Anal. Geom., Volume 2 (1999) no. 4, pp. 323-415

[4] Lindenstrauss, E.; Weiss, B. Mean topological dimension, Israel J. Math., Volume 115 (2000), pp. 1-24

[5] Tsukamoto, M. Macroscopic dimension of the lp-ball with respect to the lq-norm, J. Math. Kyoto Univ., Volume 48 (2008) no. 2, pp. 445-454

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