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Title of Journal: Commun Math Phys

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Abbravation: Communications in Mathematical Physics

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Springer-Verlag

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DOI

10.1002/cphc.201100008

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1432-0916

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Diffusion in a Weakly Random Hamiltonian Flow

Authors: Tomasz Komorowski Lenya Ryzhik
Publish Date: 2006/01/26
Volume: 263, Issue: 2, Pages: 277-323
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Abstract

We consider the motion of a particle governed by a weakly random Hamiltonian flow We identify temporal and spatial scales on which the particle trajectory converges to a spatial Brownian motion The main technical issue in the proof is to obtain error estimates for the convergence of the solution of the stochastic acceleration problem to a momentum diffusion We also apply our results to the system of random geometric acoustics equations and show that the energy density of the acoustic waves undergoes a spatial diffusion

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  2. Hausdorff Dimension of Julia Sets of Feigenbaum Polynomials with High Criticality
  3. Stability and Duality in $${\mathcal{N}\,{=}\,2}$$ Supergravity
  4. Exponential Mixing for the 3 D Stochastic Navier–Stokes Equations
  5. Binding of Polarons and Atoms at Threshold
  6. Probabilistic Weyl Laws for Quantized Tori
  7. On Perturbations of the Schwarzschild Anti-De Sitter Spaces of Positive Mass
  8. Wall-Crossing, Free Fermions and Crystal Melting
  9. Standing Ring Blow up Solutions to the N-Dimensional Quintic Nonlinear Schrödinger Equation
  10. Laminar Boundary Layers in Convective Heat Transport
  11. There are no Magnetically Charged Particle-like Solutions of the Einstein Yang-Mills Equations for Models with an Abelian Residual Group
  12. Duality of 2D Gravity as a Local Fourier Duality
  13. Nonlinear Asymptotic Stability of the Lane-Emden Solutions for the Viscous Gaseous Star Problem with Degenerate Density Dependent Viscosities
  14. Extended Scaling Relations for Planar Lattice Models
  15. Infinite-Dimensional Schur–Weyl Duality and the Coxeter–Laplace Operator
  16. Phase Boundaries in Algebraic Conformal QFT
  17. On the Singularity of the Free Energy at a First Order Phase Transition
  18. Free Analog of Pressure and Its Legendre Transform
  19. Continuity of the Lyapunov Exponents for Quasiperiodic Cocycles
  20. On the Correlation Function of the Characteristic Polynomials of the Hermitian Wigner Ensemble
  21. Stationary Random Metrics on Hierarchical Graphs Via $${(\min,+)}$$-type Recursive Distributional Equations
  22. Thermalization and Canonical Typicality in Translation-Invariant Quantum Lattice Systems
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  26. Dispersive Estimates for Schrödinger Operators in Dimension Two
  27. A Monoidal Category for Perturbed Defects in Conformal Field Theory
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  29. Holomorphic Factorization for a Quantum Tetrahedron
  30. High Energy Limits of Laplace-Type and Dirac-Type EigenFunctions and Frame Flows
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