Ilya Ya - Academia.edu (original) (raw)
Papers by Ilya Ya
Journal of the Chemical Society, Chemical Communications, 1981
Physical Review Letters, 1998
We develop a theory which describes the behaviour of eigenvalues of a class of one-dimensional ra... more We develop a theory which describes the behaviour of eigenvalues of a class of one-dimensional random non-Hermitian operators introduced recently by Hatano and Nelson. Under general assumptions on random parameters we prove that the eigenvalues are distributed along a curve in the complex plane. An equation for the curve is derived and the density of complex eigenvalues is found in terms of spectral characteristics of a "reference" hermitian disordered system. Coexistence of the real and complex parts in the spectrum and other generic properties of the eigenvalue distribution for the non-Hermitian problem are discussed.
Bulletin of the Chemical Society of Japan, 1980
Journal of the Chemical Society, Chemical Communications, 1981
Physical Review Letters, 1998
We develop a theory which describes the behaviour of eigenvalues of a class of one-dimensional ra... more We develop a theory which describes the behaviour of eigenvalues of a class of one-dimensional random non-Hermitian operators introduced recently by Hatano and Nelson. Under general assumptions on random parameters we prove that the eigenvalues are distributed along a curve in the complex plane. An equation for the curve is derived and the density of complex eigenvalues is found in terms of spectral characteristics of a "reference" hermitian disordered system. Coexistence of the real and complex parts in the spectrum and other generic properties of the eigenvalue distribution for the non-Hermitian problem are discussed.
Bulletin of the Chemical Society of Japan, 1980