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
Publications of specific relevance to the Centre for Fundamentals of AI and Computational Theory2024
Zeros of conditional Gaussian analytic functions, random sub-unitary
matrices and q-seriesFyodorov YV Khoruzhenko BA Prellberg T
08-12-2024
2022
Extreme Eigenvalues and the Emerging Outlier in Rank-One Non-Hermitian Deformations of the Gaussian Unitary EnsembleFyodorov YV Khoruzhenko BA
Entropy, Mdpi vol. 25 (1)
30-12-2022
Extreme eigenvalues and the emerging outlier in rank-one non-Hermitian deformations of the Gaussian Unitary EnsembleFyodorov YV Khoruzhenko BA Poplavskyi M
In Arxiv
31-10-2022
Glass-like transition described by toppling of stability hierarchy* *Dedicated to the memory of Fritz Haake.Grela J
Journal of Physics a: Mathematical and Theoretical, Iop Publishing vol. 55 (15)
15-03-2022
2021
Truncations of random symplectic unitary matricesKhoruzhenko BA
In Arxiv
03-11-2021
Glass--like transition described by toppling of stability hierarchyGrela J
In Arxiv
02-06-2021
2020
Counting equilibria of large complex systems by instability indexArous GB Fyodorov YV
In Arxiv
03-08-2020
2016
FRACTIONAL BROWNIAN MOTION WITH HURST INDEX H=0 AND THE GAUSSIAN UNITARY ENSEMBLEFyodorov YV Khoruzhenko BA
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 KHORUZHENKO B
Proceedings of The National Academy of Sciences of Usa, National Academy of Sciences
06-06-2016
2015
Nonlinear Analogue of the May-Wigner Instability TransitionFyodorov YV Khoruzhenko BA
In Arxiv
18-09-2015
Non-Hermitian ensemblesKhoruzhenko B
In The Oxford Handbook of Random Matrix Theory, Oxford University Press (OUP) 375-397.
17-09-2015
Foreword from volume editorsKirsch W Khoruzhenko B
Markov Processes and Related Fields vol. 21 (3)
01-01-2015
2013
Fractional Brownian motion with Hurst index $H=0$ and the Gaussian Unitary EnsembleFyodorov YV Simm NJ
In Arxiv
01-12-2013
Universal K-matrix distribution in beta=2 Ensembles of Random MatricesFyodorov YV Khoruzhenko BA 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
J. Phys. A, Iop Publishing vol. 45 (7), 075203-075234.
25-07-2011
Non-Hermitian EnsemblesKhoruzhenko BA Sommers HJ Akemann G Baik J Francesco PD
In The Oxford Handbook of Random Matrix Theory, Oxford University Press 376-397.
01-01-2011
2010
Truncations of Random Orthogonal MatricesKhoruzhenko BA Sommers H-J
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
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 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
J Phys a-Math Theor, Iop Publishing vol. 42 (22), 222002-22210.
05-06-2009
Systematic approach to statistics of conductance and shot-noise in chaotic cavitiesKhoruzhenko BA Savin DV Sommers H-J
In Arxiv
31-05-2009
Schur function averages for the real Ginibre ensembleSommers H-J Khoruzhenko BA
In Arxiv
30-03-2009
O(N) colour-flavour transformations and characteristic polynomials of
real random matricesWei Y Khoruzhenko BA
07-01-2009
2007
Averages of spectral determinants and 'single ring theorem' of feinberg and zeeFyodorov YV
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 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 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 Khoruzhenko BA
ACTA PHYSICA POLONICA B. vol. 38 (13), 4067-4077.
01-01-2007
2006
A few remarks on Colour-Flavour Transformations,truncations of random unitary matrices, Berezin reproducing kernels and Selberg type integralsFyodorov YV Khoruzhenko BA
In Arxiv
19-10-2006
On absolute moments of characteristic polynomials of a certain class of complex random matricesFyodorov YV
In Arxiv
13-02-2006
2005
The Thouless formula for random non-Hermitian Jacobi matricesGoldsheid IY Khoruzhenko BA
Israel J Math vol. 148, 331-346.
01-01-2005
2003
Thouless formula for random non-Hermitian Jacobi matricesGoldsheid IY Khoruzhenko BA
In Arxiv
09-12-2003
Regular Spacings of complex eigenvalues in the one-dimensional non-Hermitian Anderson modelGoldsheid IY
Commun Math Phys vol. 238 (3), 505-524.
01-07-2003
2002
Regular Spacings of Complex Eigenvalues in the One-dimensional non-Hermitian Anderson ModelGoldsheid IY Khoruzhenko BA
In Arxiv
02-09-2002
2000
Eigenvalue curves of asymmetric tridiagonal random matricesGoldsheid IY
01-11-2000
Eigenvalue Curves of Asymmetric Tridiagonal MatricesGoldsheid I 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
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
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
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 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
Theoretical and Mathematical Physics, Springer Nature vol. 73 (1), 1094-1104.
01-10-1987
Counting equilibria of large complex systems by instability indexArous GB Fyodorov YV Khoruzhenko BA
Proceedings of The National Academy of Sciences of Usa, National Academy of Sciences
Grants
Grants of specific relevance to the Centre for Fundamentals of AI and Computational TheoryArtificial Neuroscience: metrology and engineering for Deep Learning using Linear AlgebraMark Sandler and Boris Khoruzhenko
£238,701 Engineering and Physical Sciences Research Council
01-06-2025 - 30-11-2026
Research Group
PhD Students
- Olivia Auster
Distribution of Eigenvalue Radii and Their Extreme Values of Truncations of Random Unitary Matrices and Other Related Non-Hermitian Random Matrices
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