54 citations · 504 across the 52 of their papers we have counts for
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Quantum Transport in a Crystal With Short-Range Interactions: The Boltzmann-Grad Limit
Jory Griffin, Jens Marklof
We study the macroscopic transport properties of the quantum Lorentz gas in a crystal with short-range potentials, and show that in the Boltzmann-Grad limit the quantum dynamics co…
Quantum Transport in a Low-Density Periodic Potential: Homogenisation via Homogeneous Flows
Jory Griffin, Jens Marklof
We show that the time evolution of a quantum wavepacket in a periodic potential converges in a combined high-frequency/Boltzmann-Grad limit, up to second order in the coupling cons…
Universal hitting time statistics for integrable flows
Carl P. Dettmann, Jens Marklof, Andreas Strömbergsson
The perceived randomness in the time evolution of "chaotic" dynamical systems can be characterized by universal probabilistic limit laws, which do not depend on the fine features o…
Invariance principle for the periodic Lorentz gas in the Boltzmann-Grad limit
Jens Marklof, Balint Toth
In earlier work we showed that the particle displacement for the multidimensional periodic Lorentz gas, in the limit of low scatterer density (Boltzmann-Grad limit), satisfies a ce…
Generalized linear Boltzmann equations for particle transport in polycrystals
Jens Marklof, Andreas Strömbergsson
The linear Boltzmann equation describes the macroscopic transport of a gas of non-interacting point particles in low-density matter. It has wide-ranging applications, including neu…
Superdiffusion in the periodic Lorentz gas
Jens Marklof, Balint Toth
We prove a superdiffusive central limit theorem for the displacement of a test particle in the periodic Lorentz gas in the limit of large times and low scatterer densities (Bol…