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20022019
most citedStabilization of highly dimensional statistical systems: Girko ensemble

2 citations · 3 across the 35 of their papers we have counts for

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cond-mat.stat-mech2019

Gaussian Random Matrix Ensembles in Phase Space

Maciej M. Duras

A new class of Random Matrix Ensembles is introduced. The Gaussian orthogonal, unitary, and symplectic ensembles GOE, GUE, and GSE, of random matrices are analogous to the classica…

cond-mat.stat-mech2007

Quantum anharmonic oscillator and its statistical properties in the first quantization scheme

Maciej M. Duras

A family of quantum anharmonic oscillators is studied in any finite spatial dimension in the scheme of first quantization and the investigation of their eigenenergies is presented.…

cond-mat.stat-mech2006

Statistical properties of the quantum anharmonic oscillator in one spatial dimension

Maciej M. Duras

The random matrix ensembles (RME) of Hamiltonian matrices, e.g. Gaussian random matrix ensembles (GRME) and Ginibre random matrix ensembles (Ginibre RME), are applicable to followi…

cond-mat.stat-mech2006

Statistical properties of the quantum anharmonic oscillator

Maciej M. Duras

The random matrix ensembles (RME) of Hamiltonian matrices, e.g. Gaussian random matrix ensembles (GRME) and Ginibre random matrix ensembles (Ginibre RME), are applicable to followi…

cond-mat.stat-mech2005

Quantum fluctuations of systems of interacting electrons in two spatial dimensions

Maciej M. Duras

The random matrix ensembles (RME) of quantum statistical Hamiltonian operators, e.g. Gaussian random matrix ensembles (GRME) and Ginibre random matrix ensembles (Ginibre RME), are…

cond-mat.stat-mech2005

Simulations of fluctuations of quantum statistical systems of electrons

Maciej M. Duras

The random matrix ensembles (RMT) of quantum statistical Hamiltonian operators, e.g.Gaussian random matrix ensembles (GRME) and Ginibre random matrix ensembles (Ginibre RME), are a…