Rigorous diffusion properties for the sawtooth map
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Publication:1189236
DOI10.1007/BF02099181zbMath0756.58029OpenAlexW1992959560MaRDI QIDQ1189236
Jean Bellissard, Sandro Vaienti
Publication date: 26 September 1992
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02099181
Bifurcations and instability for nonlinear problems in mechanics (70K50) Functional limit theorems; invariance principles (60F17) Ergodic theory (37A99)
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Cites Work
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- Chaotic trajectories in the standard map. The concept of anti- integrability
- Resonances and transport in the sawtooth map
- Hamiltonian transport on unstable periodic orbits
- Universal behaviour in families of area-preserving maps
- Non-linear diffusion in Hamiltonian systems exhibiting chaotic motion
- Effect of noise on the standard mapping
- Correlations of periodic, area-preserving maps
- Transport in Hamiltonian systems
- A note on Sinaï and Bunimovich's Markov partition for billiards
- A linear code for the sawtooth and cat maps
- Periodic orbits of the sawtooth maps
- Markov tree model of transport in area-preserving maps
- Diffusion in two-dimensional mappings
- Markov partitions for dispersed billiards
- Statistical properties of Lorentz gas with periodic configuration of scatterers
- Ergodic properties of the discontinuous sawtooth map
- Regular and stochastic motion
- Arithmetical theory of Anosov diffeomorphisms
- Markov partitions and shadowing for non-uniformly hyperbolic systems with singularities
- Organization of chaos in area-preserving maps
- Markov partitions for two-dimensional hyperbolic billiards
