Prof Boris Khoruzhenko
Professor of Mathematics
Interim Head of The School of Mathematical Sciences
School of Mathematical Sciences
Queen Mary University of London
Queen Mary University of London
Research
random matrices, disordered systems
Interests
I am interested in random matrices and their applications to complex systems, mathematical physics, data science. My general area of expertise is mathematics and its applications.Publications
2022
Extreme Eigenvalues and the Emerging Outlier in Rank-One Non-Hermitian Deformations of the Gaussian Unitary EnsembleFyodorov YV, Khoruzhenko BA and Poplavskyi M
Entropy, Mdpi vol. 25 (1)
30-12-2022
Glass-like transition described by toppling of stability hierarchy* *Dedicated to the memory of Fritz Haake.Grela J and Khoruzhenko BA
Journal of Physics a: Mathematical and Theoretical, Iop Publishing vol. 55 (15)
15-03-2022
2021
Counting equilibria of large complex systems by instability indexBen Arous G, Fyodorov YV and Khoruzhenko BA
Proceedings of The National Academy of Sciences of The United States of America, Proceedings of The National Academy of Sciences vol. 118 (34)
20-08-2021
2016
FRACTIONAL BROWNIAN MOTION WITH HURST INDEX H=0 AND THE GAUSSIAN UNITARY ENSEMBLEFyodorov YV, Khoruzhenko BA and Simm NJ
Annals of Probability, Institute of Mathematical Statistics (Ims) vol. 44 (4), 2980-3031.
02-08-2016
Nonlinear analogue of the May−Wigner instability transitionFyodorov YV and KHORUZHENKO B
Proceedings of The National Academy of Sciences of Usa, National Academy of Sciences
06-06-2016
2015
Non-Hermitian ensemblesKhoruzhenko B and Sommers H-J
In The Oxford Handbook of Random Matrix Theory, Oxford University Press (Oup) 375-397.
17-09-2015
Foreword from volume editorsKirsch W, Khoruzhenko B and Müller P
Markov Processes and Related Fields vol. 21 (3)
01-01-2015
2013
Universal K-matrix distribution in beta=2 Ensembles of Random MatricesFyodorov YV, Khoruzhenko BA and Nock A
J. Phys. a: Math. Theor., Iop Publishing vol. 46 (26), 26001-26011.
16-04-2013
2011
Induced Ginibre ensemble of random matrices and quantum operationsFischmann J, Bruzda W, Khoruzhenko BA, Sommers H-J and Zyczkowski K
J. Phys. A, Iop Publishing vol. 45 (7), 075203-075234.
25-07-2011
Non-Hermitian EnsemblesKhoruzhenko BA and Sommers HJ
In The Oxford Handbook of Random Matrix Theory, Oxford University Press 376-397. Editors: Akemann G, Baik J and Francesco PD.
01-01-2011
2010
Truncations of Random Orthogonal MatricesKhoruzhenko BA, Sommers H-J and Zyczkowski K
Phys. Rev. E, American Physical Society vol. 82, 040106-040110.
12-08-2010
2009
Integral formulae for the eigenvalue density of complex random matricesWei Y, Khoruzhenko BA and Fyodorov YV
J Phys a-Math Theor, Iop Publishing vol. 42 (46), 462002-462012.
20-11-2009
Systematic approach to statistics of conductance and shot-noise in chaotic cavitiesKhoruzhenko BA, Savin DV and Sommers HJ
Phys Rev B, American Physical Society vol. 80 (12), 125301-125315.
01-09-2009
Schur function averages for the real Ginibre ensembleSommers HJ and Khoruzhenko BA
J Phys a-Math Theor, Iop Publishing vol. 42 (22), 222002-22210.
05-06-2009
O(N) colour-flavour transformations and characteristic polynomials of
real random matricesWei Y and Khoruzhenko BA
07-01-2009
2007
Averages of spectral determinants and 'single ring theorem' of feinberg and zeeFyodorov YV and Khoruzhenko BA
Acta Physica Polonica B. vol. 38 (13 SPEC. ISS.), 4067-4077.
01-12-2007
On absolute moments of characteristic polynomials of a certain class of complex random matricesFyodorov YV and Khoruzhenko BA
Commun Math Phys vol. 273 (3), 561-599.
01-08-2007
A few remarks on colour-flavour transformations, truncations of random unitary matrices, Berezin reproducing kernels and Selberg-type integralsFyodorov YV and Khoruzhenko BA
J Phys a-Math Theor vol. 40 (4), 669-699.
26-01-2007
Averages of spectral determinants and 'single ring theorem' of Feinberg and ZeeFyodorov YV and Khoruzhenko BA
ACTA PHYSICA POLONICA B. vol. 38 (13), 4067-4077.
01-01-2007
2005
The Thouless formula for random non-Hermitian Jacobi matricesGoldsheid IY and Khoruzhenko BA
Israel J Math vol. 148, 331-346.
01-01-2005
2003
Regular Spacings of complex eigenvalues in the one-dimensional non-Hermitian Anderson modelGoldsheid IY and Khoruzhenko BA
Commun Math Phys vol. 238 (3), 505-524.
01-07-2003
2000
Eigenvalue Curves of Asymmetric Tridiagonal MatricesGoldsheid I and Khoruzhenko B
Electronic Journal of Probability, Institute of Mathematical Statistics vol. 5 (none)
01-01-2000
1997
The localization of surface states: an exactly solvable modelKhoruzhenko BA and Pastur LA
Physics Reports, Elsevier vol. 288 (1-6), 109-126.
01-09-1997
1995
On the 1/N corrections to the Green functions of random matrices with independent entriesKhorunzhy A, Khoruzhenko B and Pastur L
Journal of Physics a: Mathematical and Theoretical, Iop Publishing vol. 28 (1)
07-01-1995
1994
The interband light absorption coefficient in the weak disorder regime: an asymptotically exactly solvable modelKhoruzhenko BA, Kirsch W and Pastur LA
Journal of Physics a: Mathematical and Theoretical, Iop Publishing vol. 27 (7)
07-04-1994
1991
Large-n limit of the Heisenberg model: Random external field and random uniaxial anisotropyKhoruzhenko BA
Journal of Statistical Physics, Springer Nature vol. 62 (1-2), 21-33.
01-01-1991
1989
Large-n limit of the Heisenberg model: The decorated lattice and the disordered chainKhoruzhenko BA, Pastur LA and Shcherbina MV
Journal of Statistical Physics, Springer Nature vol. 57 (1-2), 41-52.
01-10-1989
1987
Phase transitions in quantum models of rotators and ferroelectricsPastur LA and Khoruzhenko BA
Theoretical and Mathematical Physics, Springer Nature vol. 73 (1), 1094-1104.
01-10-1987
Grants
Grants of specific relevance to the Centre for Probability, Statistics and Data ScienceArtificial Neuroscience: metrology and engineering for Deep Learning using Linear AlgebraMark Sandler and Boris Khoruzhenko
£238,701 EPSRC Engineering and Physical Sciences Research Council
01-11-2024 - 30-04-2026