Head of the Department:  Doctor of Sciences SHCHERBINA Mariya Vladimirovna

tel: +(380)-57-330-85-85
fax: +(38)-057-340-33-70
E-mail: shcherbina@ilt.kharkov.ua

The Department of Statistical Methods of Mathematical Physics was organized in 1994 on the base of the Laboratory of Statistical Methods of the Department of Mathematical Physics.

• random matrix theory, in particular, unitary invariant ensembles of random matrices, ensembles with independent entries, ensembles of sparse random matrices, theory of random graphs

• spin glasses and neural networks theory, mean field type models of disordered system, dynamics of neural networks

• spectral theory of differential and finite-difference operators with random and almost-periodical coefficients including the inverse scattering problem for these operators

• exactly and asymptotically exactly solvable models of interacting ordered and disordered systems including the picture of phase transitions and calculation methods for important physical characteristics of such systems

• theory of quantum magnets, in particular, theory of low-dimensional quantum spin systems, theory of quantum spin chains with and without magnetic and nonmagnetic impurities, exact solutions

• theory of strongly correlated electron systems, in particular, the theory of models of magnetic and hybridization impurities (Kondo and Anderson impurities), low-dimensional correlated electron  models (Hubbard and t-J like models), theory of correlated electron systems with quenched disorder, heavy fermions, non-Fermi-liquids, etc.

• theory of mesoscopic and nanoscale electron systems, in particular, theories of charge and spin persistent currents in quantum rings, with and without magnetic and hybridization impurities.

  Department's staff:

  leading research fellow	T.Antsygina, Dr.Sc.
  leading research fellow	A.Zvyagin, Dr.Sc., Prof.
  leading research fellow	Yu.Freiman, Dr.Sc.
  senior research fellow	I.Egorova, Ph.D.
  research fellow	V.Vasilchuk, Ph.D.
  junior research fellow	V.Vengerovsky
  engineer	L.Lelyuk