5 citations · 5 across the 1 of their papers we have counts for
6 papers
The Wick theorem for non-Gaussian distributions and its application for noise filtering of correlated q-Exponentialy distributed random variables
Przemyslaw Repetowicz, Peter Richmond
We derive the Wick theorem for the q-Exponential distribution. We use the theorem to derive an algorithm for finding parameters of the correlation matrix of q-Exponentialy distribu…
Energy spectra, wavefunctions and quantum diffusion for quasiperiodic systems
Huiqiu Yuan, Uwe Grimm, Przemyslaw Repetowicz +1
We study energy spectra, eigenstates and quantum diffusion for one- and two-dimensional quasiperiodic tight-binding models. As our one-dimensional model system we choose the silver…
Planar quasiperiodic Ising models
Przemyslaw Repetowicz, Uwe Grimm, Michael Schreiber
We investigate zero-field Ising models on periodic approximants of planar quasiperiodic tilings by means of partition function zeros and high-temperature expansions. These are obta…
Averaged shelling for quasicrystals
Michael Baake, Uwe Grimm, Dieter Joseph +1
The shelling of crystals is concerned with counting the number of atoms on spherical shells of a given radius and a fixed centre. Its straight-forward generalization to quasicrysta…
High-temperature expansion for Ising models on quasiperiodic tilings
Przemyslaw Repetowicz, Uwe Grimm, Michael Schreiber
We consider high-temperature expansions for the free energy of zero-field Ising models on planar quasiperiodic graphs. For the Penrose and the octagonal Ammann-Beenker tiling, we c…
Exact Eigenstates of Tight-Binding Hamiltonians on the Penrose Tiling
Przemyslaw Repetowicz, Uwe Grimm, Michael Schreiber
We investigate exact eigenstates of tight-binding models on the planar rhombic Penrose tiling. We consider a vertex model with hopping along the edges and the diagonals of the rhom…