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Featured researches published by Maki Furukado.


Archive | 2009

Geometric Realizations of Hyperbolic Unimodular Substitutions

Maki Furukado; Shunji Ito; Hui Rao

We generalize the construction of Rauzy fractals to hyperbolic substitutions. A fractal-domain-exchange transformation is defined, and it is proved that this transformation is measure-theoretically isomorphic to the substitution dynamical system.


Transactions of the American Mathematical Society | 2011

Algebraic numbers, free group automorphisms and substitutions on the plane

Pierre Arnoux; Maki Furukado; Edmund O. Harriss; Shunji Ito


Tsukuba journal of mathematics | 2006

Pisot substitutions and the Hausdorff dimension of boundaries of atomic surfaces

De-Jun Feng; Maki Furukado; Shunji Ito


Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi | 2009

Complex pisot numeration systems

Masaki Hama; Maki Furukado; Shunji Ito


Hiroshima Mathematical Journal | 2006

Tilings from non-Pisot unimodular matrices

Maki Furukado


Annales de l'Institut Fourier | 2006

Tilings associated with non-Pisot matrices

Maki Furukado; Shunji Ito; E. Arthur Robinson


Japanese journal of mathematics. New series | 1998

The quasi-periodic tiling of the plane and Markov subshifts

Maki Furukado; Shunji Ito


Archive | 2005

Algebraic numbers and free group automorphisms

Pierre Arnoux; Maki Furukado; Edmund O. Harriss; Shunji Ito


Hiroshima Mathematical Journal | 2007

Tilings of a Riemann surface and cubic Pisot numbers

Fumihiko Enomoto; Hiromi Ei; Maki Furukado; Shunji Ito


数理解析研究所講究録 | 2011

Substitutions from Rauzy induction on 4-interval exchange transformations and Quasi-periodic tilings (Mathematics of Quasi-Periodic Order)

Pierre Arnoux; Maki Furukado; Shunji Ito

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Pierre Arnoux

Centre national de la recherche scientifique

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E. Arthur Robinson

George Washington University

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