68 citations
- Brunel University of LondonGB1 paper
- B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of UkraineUA1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Clarkson UniversityUS1 paper
- Laboratoire National des Champs Magnétiques IntensesFR1 paper
- University of West LondonGB1 paper
9 papers
Statistics of Real Eigenvalues in Ginibre's Ensemble of Random Real Matrices
Eugene Kanzieper, Gernot Akemann
The integrable structure of Ginibre's Orthogonal Ensemble of random matrices is looked at through the prism of the probability "p_{n,k}" to find exactly "k" real eigenvalues in the…
Very well-covered graphs and the unimodality conjecture
Vadim E. Levit, Eugen Mandrescu
If for any the -th coefficient of a polynomial I(G;x) is equal to the number of stable sets of cardinality in the graph , then it is called the independence polynomia…
Nuclear spintronics: quantum Hall and nano-systems
Israel D. Vagner
The electron spin transport in condensed matter, Spintronics, is a subject of rapidly growing interest both scientifically and from the point of view of applications to modern and…
Magnetization of Nuclear-Spin-Polarization-Induced Quantum Ring
S. N. Shevchenko, Yu. V. Pershin, I. D. Vagner
Properties of a Nuclear-Spin-Polarization-Induced Quantum Ring (NSPI QR) are studied theoretically. In the proposed system a local nuclear spin polarization creates an effective hy…
Independence polynomials of well-covered graphs: generic counterexamples for the unimodality conjecture
Vadim E. Levit, Eugen Mandrescu
A graph is well-covered if all its maximal stable sets have the same size, denoted by alpha(G) (M. D. Plummer, 1970). If for any the -th coefficient of a polynomial I(G;…
A Family of Well-Covered Graphs with Unimodal Independence Polynomials
Vadim E. Levit, Eugen Mandrescu
If for any the -th coefficient of a polynomial I(G;x) is equal to the number of stable sets of cardinality in graph , then it is called the independence polynomial of…