Global properties of a family of piecewise isometries

DOI10.1017/S0143385708080280zbMath1160.37316MaRDI QIDQ3625424

Arek Goetz, Anthony N. Quas

Publication date: 5 May 2009

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Mathematics Subject Classification ID

Topological entropy (37B40) Symbolic dynamics (37B10)

Related Items (6)

Symbolic dynamics of a piecewise rotation: case of the non symmetric bijective maps ⋮ Piecewise rotations: limit set for the non-bijective maps ⋮ Piecewise isometries, uniform distribution and 3log 2−π²/8 ⋮ Cone exchange transformations and boundedness of orbits ⋮ Pointwise periodic maps with quantized first integrals ⋮ Flights in a pseudo-chaotic system

Cites Work

• Dynamics of non-ergodic piecewise affine maps of the torus
• Riddling and invariance for discontinuous maps preserving Lebesgue measure
• A dichotomy for a two-parameter piecewise rotation
• Dynamics of symplectic piecewise affine elliptic rotation maps on tori
• Rotations by  /7
• Recursive tiling and geometry of piecewise rotations by  /7
• Polygonal invariant curves for a planar piecewise isometry

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