Comptes Rendus
no. 4
Mathematical Analysis
p-adic repellers in Qp are subshifts of finite type
Presented by: Jean-Pierre Kahane
Aihua Fan 1 ,  2 ; Lingmin Liao 1 ,  2 ; Yue Fei Wang 3 ; Dan Zhou 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
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

Aihua Fan  1 , 2 ; Lingmin Liao  1 , 2 ; Yue Fei Wang  3 ; Dan Zhou  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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Aihua Fan; Lingmin Liao; Yue Fei Wang; Dan Zhou. 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

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

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

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

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