Interval identification systems and plane sections of 3-periodic surfaces

DOI10.1134/S0081543808040068zbMath1231.37024OpenAlexW1970712294MaRDI QIDQ735623

Ivan A. Dynnikov

Publication date: 23 October 2009

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543808040068

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving maps of the interval (37E05)

Related Items

Minimality of interval exchange transformations with restrictions ⋮ On connectedness of chaotic sections of some 3-periodic surfaces ⋮ Lower bounds on the dimension of the Rauzy gasket ⋮ Symmetric band complexes of thin type and chaotic sections which are not quite chaotic ⋮ The theory of closed 1-forms, levels of quasiperiodic functions and transport phenomena in electron systems ⋮ Diffusion for chaotic plane sections of 3-periodic surfaces ⋮ Topological integrability, classical and quantum chaos, and the theory of dynamical systems in the physics of condensed matter ⋮ On the Hausdorff dimension of the Rauzy gasket ⋮ Open level lines of a superposition of periodic potentials on a plane

Cites Work

• Unnamed Item
• Quadratic differentials and foliations
• Dynamical systems, topology, and conductivity in normal metals
• Gauss measures for transformations on the space of interval exchange maps
• Interval exchange transformations and measured foliations
• On the complexity of braids.
• Échanges d'intervalles et transformations induites
• The geometry of stability regions in Novikov's problem on the semiclassical motion of an electron
• The computational complexity of knot genus and spanning area
• Interval exchange transformations

This page was built for publication: Interval identification systems and plane sections of 3-periodic surfaces