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
Fyodorov YV, Khoruzhenko BA and Poplavskyi M (2022). Extreme Eigenvalues and the Emerging Outlier in Rank-One Non-Hermitian Deformations of the Gaussian Unitary Ensemble. Entropy, MDPI vol. 25 (1) 30-12-2022
Grela J and Khoruzhenko BA (2022). Glass-like transition described by toppling of stability hierarchy. Journal of Physics A: Mathematical and Theoretical, IOP Publishing vol. 55 (15) 15-03-2022
2021
Ben Arous G, Fyodorov YV and Khoruzhenko BA (2021). Counting equilibria of large complex systems by instability index. 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
Fyodorov YV, Khoruzhenko BA and Simm NJ (2016). FRACTIONAL BROWNIAN MOTION WITH HURST INDEX H=0 AND THE GAUSSIAN UNITARY ENSEMBLE. Annals of Probability, Institute of Mathematical Statistics (IMS) vol. 44 (4), 2980-3031. 02-08-2016
Fyodorov YV and KHORUZHENKO B (2016). Nonlinear analogue of the May−Wigner instability transition. Proceedings of the National Academy of Sciences of USA, National Academy of Sciences 06-06-2016
2015
Khoruzhenko B and Sommers H-J (2015). Non-Hermitian ensembles. The Oxford Handbook of Random Matrix Theory 375-397. 17-09-2015
Kirsch W, Khoruzhenko B and Müller P (2015). Foreword from volume editors. Markov Processes and Related Fields vol. 21 (3) 01-01-2015
2013
Fyodorov YV, Khoruzhenko BA and Nock A (2013). Universal K-matrix distribution in beta=2 Ensembles of Random Matrices. J. Phys. A: Math. Theor., IOP PUblishing vol. 46 (26), 26001-26011. 16-04-2013
2011
Fischmann J, Bruzda W, Khoruzhenko BA, Sommers H-J and Zyczkowski K (2011). Induced Ginibre ensemble of random matrices and quantum operations. J. Phys. A, IOP PUblishing vol. 45 (7), 075203-075234. 25-07-2011
Khoruzhenko BA and Sommers HJ (2011). Non-Hermitian Ensembles. The Oxford Handbook of Random Matrix Theory , Editors: Akemann G, Baik J and Francesco PD. 376-397. 01-01-2011
2010
Khoruzhenko BA, Sommers H-J and Zyczkowski K (2010). Truncations of Random Orthogonal Matrices. Phys. Rev. E, American Physical Society vol. 82, 040106-040110. 12-08-2010
2009
Wei Y, Khoruzhenko BA and Fyodorov YV (2009). Integral formulae for the eigenvalue density of complex random matrices. J PHYS A-MATH THEOR, IOP PUblishing vol. 42 (46), 462002-462012. 20-11-2009
Khoruzhenko BA, Savin DV and Sommers HJ (2009). Systematic approach to statistics of conductance and shot-noise in chaotic cavities. PHYS REV B, American Physical Society vol. 80 (12), 125301-125315. 01-09-2009
Sommers HJ and Khoruzhenko BA (2009). Schur function averages for the real Ginibre ensemble. J PHYS A-MATH THEOR, IOP PUblishing vol. 42 (22), 222002-22210. 05-06-2009
Wei Y and Khoruzhenko BA (2009). O(N) colour-flavour transformations and characteristic polynomials of
real random matrices. 07-01-2009
2007
Fyodorov YV and Khoruzhenko BA (2007). Averages of spectral determinants and 'single ring theorem' of feinberg and zee. 01-12-2007
Fyodorov YV and Khoruzhenko BA (2007). On absolute moments of characteristic polynomials of a certain class of complex random matrices. COMMUN MATH PHYS vol. 273 (3), 561-599. 01-08-2007
Fyodorov YV and Khoruzhenko BA (2007). A few remarks on colour-flavour transformations, truncations of random unitary matrices, Berezin reproducing kernels and Selberg-type integrals. J PHYS A-MATH THEOR vol. 40 (4), 669-699. 26-01-2007
Fyodorov YV and Khoruzhenko BA (2007). Averages of spectral determinants and 'single ring theorem' of Feinberg and Zee. 01-01-2007
2005
Goldsheid IY and Khoruzhenko BA (2005). The Thouless formula for random non-Hermitian Jacobi matrices. ISRAEL J MATH vol. 148, 331-346. 01-01-2005
2003
Goldsheid IY and Khoruzhenko BA (2003). Regular Spacings of complex eigenvalues in the one-dimensional non-Hermitian Anderson model. COMMUN MATH PHYS vol. 238 (3), 505-524. 01-07-2003
2000
Goldsheid I and Khoruzhenko B (2000). Eigenvalue Curves of Asymmetric Tridiagonal Matrices. Electronic Journal of Probability, Institute of Mathematical Statistics vol. 5 (none) 01-01-2000
1997
Khoruzhenko BA and Pastur LA (1997). The localization of surface states: an exactly solvable model. Physics Reports, Elsevier vol. 288 (1-6), 109-126. 01-09-1997
1995
Khorunzhy A, Khoruzhenko B and Pastur L (1995). On the 1/N corrections to the Green functions of random matrices with independent entries. Journal of Physics A: Mathematical and Theoretical, IOP Publishing vol. 28 (1) 07-01-1995
1994
Khoruzhenko BA, Kirsch W and Pastur LA (1994). The interband light absorption coefficient in the weak disorder regime: an asymptotically exactly solvable model. Journal of Physics A: Mathematical and Theoretical, IOP Publishing vol. 27 (7) 07-04-1994
1991
Khoruzhenko BA (1991). Large-n limit of the Heisenberg model: Random external field and random uniaxial anisotropy. Journal of Statistical Physics, Springer Nature vol. 62 (1-2), 21-33. 01-01-1991
1989
Khoruzhenko BA, Pastur LA and Shcherbina MV (1989). Large-n limit of the Heisenberg model: The decorated lattice and the disordered chain. Journal of Statistical Physics, Springer Nature vol. 57 (1-2), 41-52. 01-10-1989
1987
Pastur LA and Khoruzhenko BA (1987). Phase transitions in quantum models of rotators and ferroelectrics. 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)