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Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

Marius Christopher Lemm, Rui Han

We study the one-dimensional discrete Schrödinger operator with the skew-shift potential

2\lambda\cos\left(2\pi \left(\binom{j}{2} \omega+jy+x\right)\right)

. This potential is long conjectured to behave like a random one, i.e., it is expected to produce ...

2018

Opérateur hamiltonien

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Symplectic dynamical low rank approximation of wave equations with random parameters

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On-the-Fly ab initio Semiclassical Evaluation of Electronic Coherences in Polyatomic Molecules Reveals a Simple Mechanism of Decoherence

The large charge expansion and AdS/CFT

Dynamical Reduced Basis Methods for Hamiltonian Systems

Coupled-mode theory for stationary and nonstationary resonant sound propagation

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

Structure-Preserving Reduced Basis Methods for Hamiltonian Systems with a Nonlinear Poisson Structure

Structure-Preserving Reduced Basis Methods for Hamiltonian Systems with a State-dependent Poisson Structure

Dynamical Reduced Basis Methods for Hamiltonian Systems

Reconciling resonant leptogenesis and baryogenesis via neutrino oscillations

On-the-Fly ab initio Semiclassical Evaluation of Electronic Coherences in Polyatomic Molecules Reveals a Simple Mechanism of Decoherence

Superfluids, vortices and spinning charged operators in 4d CFT

Symplectic dynamical low rank approximation of wave equations with random parameters

The large charge expansion and AdS/CFT

Structure-Preserving Reduced Basis Methods for Hamiltonian Systems with a Nonlinear Poisson Structure

Coupled-mode theory for stationary and nonstationary resonant sound propagation

Structure-Preserving Reduced Basis Methods for Hamiltonian Systems with a State-dependent Poisson Structure

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle