Pierre Arnoux

Pisot substitutions and Rauzy fractals

Pierre Arnoux, Shunji Ito · Bulletin of the Belgian Mathematical Society - Simon Stevin · 2001 · 253 citations

Natural Sciences, Mathematics, Dynamical Systems +6

Cutting and stacking, interval exchanges and geometric models

Pierre Arnoux, Donald Ornstein, Benjamin Weiss · Israel Journal of Mathematics · 1985 · 59 citations

Natural Sciences, Industrial Engineering, Mathematics +14

Higher dimensional extensions of substitutions and their dual maps

Yuki Sano, Pierre Arnoux, Shunji Ito · Journal d Analyse Mathématique · 2001 · 57 citations

Natural Sciences, Architectural Representation, Algebra +6

Discrete planes, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>ℤ</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> -actions, Jacobi-Perron algorithm and substitutions

Pierre Arnoux, Valérie Berthé, Shunji Ito · Annales de l’institut Fourier · 2002 · 55 citations · Full text

Natural Sciences, Mathematics, Algorithms +11

Anosov families, renormalization and non-stationary subshifts

Pierre Arnoux, Albert M. Fisher · Ergodic Theory and Dynamical Systems · 2005 · 47 citations · Full text

Natural Sciences, Mathematics, Probability Theory +12