Ergodization rates for linear flow on the torus

DOI10.1007/BF01049101zbMath0745.58032MaRDI QIDQ1181798

H. Scott Dumas

Publication date: 27 June 1992

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

perturbation theoryergodic theorysmall divisorssmall denominators

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Ergodic theory (37A99)

Related Items (12)

Weak KAM theory for discounted Hamilton-Jacobi equations and its application ⋮ Filling times for linear flow on the torus with truncated Diophantine conditions: a brief review and new proof ⋮ Fluctuation response patterns of network dynamics – An introduction ⋮ Regularity of viscosity solutions near KAM torus ⋮ A new kind of Lax-Oleinik type operator with parameters for time-periodic positive definite Lagrangian systems ⋮ On the derivation of a linear Boltzmann equation from a periodic lattice gas ⋮ Ergodization time for linear flows on tori via geometry of numbers ⋮ More on stochastic and variational approach to the Lax-Friedrichs scheme ⋮ Strong stability of KAM tori: From the point of view of viscosity solutions of H-J equations ⋮ Remarks on the notion of mean free path for a periodic array of spherical obstacles ⋮ Unnamed Item ⋮ On the mean free path for a periodic array of spherical obstacles.

Cites Work

• Multiphase averaging for classical systems. With applications to adiabatic theorems. Transl. from the French by H. S. Dumas
• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS

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