Mathematical Analysis
p-adic repellers in Qp are subshifts of finite type

Presented by: Jean-Pierre Kahane

Fan, Aihua1, 2; Liao, Lingmin1, 2; Wang, Yue Fei3; Zhou, Dan2
1 Department of Mathematics, Wuhan University, 430072 Wuhan, China
2 LAMFA, UMR 6140 CNRS, université de Picardie, 33, rue Saint Leu, 80039 Amiens, France
3 Institute of Mathematics, AMSS, CAS, 55 East Road Zhongguancun, 100080 Beijing, China
Comptes Rendus. Mathématique, Volume 344 (2007) no. 4, pp. 219-224.

We prove that any p-adic transitive weak repeller is isometrically conjugate to a subshift of finite type where a suitable metric is defined.

Nous prouvons que tout répulseur faible transitif p-adique est isométriquement conjugué à un sous-shift de type fini où une métrique convenable est définie.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2006.12.007
Fan, Aihua 1, 2; Liao, Lingmin 1, 2; Wang, Yue Fei 3; Zhou, Dan 2

1 Department of Mathematics, Wuhan University, 430072 Wuhan, China
2 LAMFA, UMR 6140 CNRS, université de Picardie, 33, rue Saint Leu, 80039 Amiens, France
3 Institute of Mathematics, AMSS, CAS, 55 East Road Zhongguancun, 100080 Beijing, China 
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     title = {\protect\emph{p}-adic repellers in $ {\mathbb{Q}}_{p}$ are subshifts of finite type},
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Fan, Aihua; Liao, Lingmin; Wang, Yue Fei; Zhou, Dan. p-adic repellers in $ {\mathbb{Q}}_{p}$ are subshifts of finite type. Comptes Rendus. Mathématique, Volume 344 (2007) no. 4, pp. 219-224. doi : 10.1016/j.crma.2006.12.007. https://www.numdam.org/articles/10.1016/j.crma.2006.12.007/

[1] Lind, D.; Marcus, B. An Introduction to Symbolic Dynamics and Coding, Cambridge University Press, 1995

[2] Schikhof, W.H. Ultrametric Calculus, Cambridge University Press, 1984

[3] Woodcock, C.F.; Smart, N.P. p-adic chaos and random number generation, Experiment Math., Volume 7 (1998) no. 4, pp. 333-342

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