73 citations · 503 across the 17 of their papers we have counts for
17 papers
Eigenvalue and Eigenvector Statistics in Time Series Analysis
Paolo Barucca, Mario Kieburg, Alexander Ossipov
The study of correlated time-series is ubiquitous in statistical analysis, and the matrix decomposition of the cross-correlations between time series is a universal tool to extract…
Stochastic multi-step polarization switching in ferroelectrics
Y. A. Genenko, R. Khachaturyan, J. Schultheiss +3
Consecutive stochastic 90° polarization switching events, clearly resolved in recent experiments, are described by a new nucleation and growth multi-step model. It extends the clas…
Eigenvectors under a generic perturbation: non-perturbative results from the random matrix approach
Kevin Truong, Alexander Ossipov
We consider eigenvectors of the Hamiltonian perturbed by a generic perturbation modelled by a random matrix from the Gaussian Unitary Ensemble (GUE). Using the supersymme…
Scaling of critical wavefunctions at topological Anderson transitions in 1D
Eoin Quinn, Thomas Cope, Jens H. Bardarson +1
Topological Anderson transitions, which are direct phase transitions between topologically distinct Anderson localised phases, allow for criticality in 1D disordered systems. We an…
Critical scaling of polarization waves on a heterogeneous chain of resonators
Sanli Faez, Ad Lagendijk, Alexander Ossipov
The intensity distribution of electromagnetic polar waves in a chain of near-resonant weakly-coupled scatterers is investigated theoretically and supported by a numerical analysis.…
Anderson localization transition and eigenfunction multifractality in ensemble of ultrametric random matrices
Y. V. Fyodorov, A. Ossipov, A. Rodriguez
We demonstrate that by considering disordered single-particle Hamiltonians (or their random matrix versions) on ultrametric spaces one can generate an interesting class of models e…