activity
20142022
most citedQuantum Transport in a Crystal With Short-Range Interactions: The Boltzmann-Grad Limit

4 citations · 8 across the 5 of their papers we have counts for

collaborators

6 papers

math.NT2022

Improved Tail Estimates for the Distribution of Quadratic Weyl Sums

Francesco Cellarosi, Jory Griffin, Tariq Osman

We consider quadratic Weyl sums for (the rational case) or (the irrational case), wh…

math-ph2022★ 1 cited

Derivation of the linear Boltzmann equation from the damped quantum Lorentz gas with a general scatterer configuration

Jory Griffin

It is a fundamental problem in mathematical physics to derive macroscopic transport equations from microscopic models. In this paper we derive the linear Boltzmann equation in the…

math-ph2020★ 4 cited

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…

math-ph2018★ 2 cited

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…

math-ph2015★ 1 cited

On the Phase-Space Distribution of Bloch Eigenmodes for Periodic Point Scatterers

Jory Griffin

Consider the 3-dimensional Laplacian with a potential described by point scatterers placed on the integer lattice. We prove that for Floquet-Bloch modes with fixed quasi-momentum s…

math.DS2014

Limit theorems for skew translations

Jory Griffin, Jens Marklof

Bufetov, Bufetov-Forni and Bufetov-Solomyak have recently proved limit theorems for translation flows, horocycle flows and tiling flows, respectively. We present here analogous res…