6 citations · 15 across the 6 of their papers we have counts for
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Spectral Properties of Quantum Walks on Rooted Binary Trees
Alain Joye, Laurent Marin
We define coined Quantum Walks on the infinite rooted binary tree given by unitary operators on an associated infinite dimensional Hilbert space, depending on a unitary coin…
Absence of absolutely continuous spectrum for random scattering zippers
Hakim Boumaza, Laurent Marin
A scattering zipper is a system obtained by concatenation of scattering events with equal even number of incoming and out going channels. The associated scattering zipper operator…
Scattering zippers and their spectral theory
Laurent Marin, Hermann Schulz-Baldes
A scattering zipper is a system obtained by concatenation of scattering events with equal even number of incoming and out going channels. The associated scattering zipper operator…
On and Off-diagonal Sturmian operator: dynamic and spectral dimension
Laurent Marin
We study two versions of quasicrystal model, both subcases of Jacobi matrices. For Off-diagonal model, we show an upper bound of dynamical exponent and the norm of the transfer mat…
The fractal dimension of the spectrum of quasiperiodical schrodinger operators
Laurent Marin
We study the fractal dimension of the spectrum of a quasiperiodical Schrodinger operator associated to a sturmian potential. We consider potential defined with irrationnal number v…
Dynamical Bounds for Sturmian Schrödinger Operators
L. Marin
The Fibonacci Hamiltonian, that is a Schrödinger operator associated to a quasiperiodical sturmian potential with respect to the golden mean has been investigated intensively in re…