Higher dimensional extensions of substitutions and their dual maps

Author:

Sano Yuki,Arnoux Pierre,Ito Shunji

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Analysis

Reference13 articles.

1. [Arn-Ber-Ito] P. Arnoux, V. Berthé and Sh. Ito, Discrete planes {ie206-1}, Jacobi-Perron algorithm and substitutions, preprint.

2. [Arn-Ito] P. Arnoux and Sh. Ito,Pisot substitutions and Rauzy fractals, Bull. Soc. Math. Belg. (2001), to appear.

3. [Dek1] F. M. Dekking,Recurrent sets, Adv. Math.44 (1982), 78–104.

4. [Dek2] F. M. Dekking,Replicating superfigures and endomorphisms of free groups, J. Combin. Theory Ser. A32 (1982), 315–320.

5. [Ei-Ito] H. Ei and Sh. Ito,Decomposition theorem on invertible substitutions, Osaka J. Math.35 (1998), 821–834.

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