Dynamics of piecewise isometries
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Publication:1584480
zbMath0964.37009MaRDI QIDQ1584480
Publication date: 16 July 2001
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Topological entropy (37B40) Symbolic dynamics (37B10) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Dynamical systems over complex numbers (37F99)
Related Items (29)
Synchronization properties of random piecewise isometries ⋮ Invariant measures of torus piecewise isometries ⋮ Pseudochaotic dynamics near global periodicity ⋮ Conditioning problems for invariant sets of expanding piecewise affine mappings: application to loss of ergodicity in globally coupled maps ⋮ Almost every interval translation map of three intervals is finite type ⋮ Piecewise rotations: limit set for the non-bijective maps ⋮ Embeddings of interval exchange transformations into planar piecewise isometries ⋮ Mixing with piecewise isometries on a hemispherical shell ⋮ Renormalization of polygon exchange maps arising from corner percolation ⋮ Cutting and Shuffling of a Line Segment: Effect of Variation in Cut Location ⋮ Tangent-free property for periodic cells generated by some general piecewise isometries ⋮ Dynamics of a continuous piecewise affine map of the square ⋮ On codings and dynamics of planar piecewise rotations ⋮ Invariant measures for planar piecewise isometries ⋮ Ergodic properties of folding maps on spheres ⋮ Dynamical behaviors and codings of invertible planar piecewise isometric systems ⋮ Global attractors and invariant measures for non-invertible planar piecewise isometric maps ⋮ Dynamical aspects of piecewise conformal maps ⋮ On global attractors for a class of nonhyperbolic piecewise affine maps ⋮ Asymptotic periodicity in outer billiards with contraction ⋮ Tangents-free property in invariant disk packings generated by some general planar piecewise isometries ⋮ Hamiltonian mappings and circle packing phase spaces: numerical investigations ⋮ The Triple Lattice PETs ⋮ Dynamics of kaleidoscopic maps ⋮ Unnamed Item ⋮ Invariant measures for interval translations and some other piecewise continuous maps ⋮ Chaotic sets of continuous and discontinuous maps ⋮ Discontinuous maps exhibiting symmetry Lebesgue-almost everywhere ⋮ Flights in a pseudo-chaotic system
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