Search Results - "Khoruzhenko, Boris A"

Extreme Eigenvalues and the Emerging Outlier in Rank-One Non-Hermitian Deformations of the Gaussian Unitary Ensemble by Fyodorov, Yan V, Khoruzhenko, Boris A, Poplavskyi, Mihail

“…Complex eigenvalues of random matrices J=GUE+iγdiag(1,0,…,0) provide the simplest model for studying resonances in wave scattering from a quantum chaotic…”
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Nonlinear analogue of the May–Wigner instability transition by Fyodorov, Yan V., Khoruzhenko, Boris A.

“…We study a system of N≫1 degrees of freedom coupled via a smooth homogeneous Gaussian vector field with both gradient and divergence-free components. In the…”
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On absolute moments of characteristic polynomials of a certain class of complex random matrices by FYODOROV, Yan V, KHORUZHENKO, Boris A

“…The integer moments of the spectral determinant | det (zI − W) |2 of complex random matrices W are obtained in terms of the characteristic polynomial of the…”
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Counting equilibria of large complex systems by instability index by Arous, Gérard Ben, Fyodorov, Yan V., Khoruzhenko, Boris A.

“…We consider a nonlinear autonomous system of N ≫ 1 degrees of freedom randomly coupled by both relaxational (“gradient”) and nonrelaxational (“solenoidal”)…”
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Almost-Hermitian random matrices: eigenvalue density in the complex plane by Fyodorov, Yan V, Khoruzhenko, Boris A, Sommers, Hans-Jürgen

“…We consider an ensemble of large non-Hermitian random matrices of the form H ̂ + i A ̂ s , where H ̂ and A ̂ s are Hermitian statistically independent random N…”
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Distribution of Eigenvalues in Non-Hermitian Anderson Models by Goldsheid, Ilya Ya, Khoruzhenko, Boris A.

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Systematic Analytical Approach to Correlation Functions of Resonances in Quantum Chaotic Scattering by Fyodorov, Yan V., Khoruzhenko, Boris A.

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Almost Hermitian Random Matrices: Crossover from Wigner-Dyson to Ginibre Eigenvalue Statistics by Fyodorov, Yan V., Khoruzhenko, Boris A., Sommers, Hans-Jürgen

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The Thouless formula for random non-Hermitian Jacobi matrices by Goldsheid, Ilya Ya, Khoruzhenko, Boris A.

“…Random non-Hermitian Jacobi matricesJn of increasing dimensionn are considered. We prove that the normalized eigenvalue counting measure ofJn converges weakly…”
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Truncations of random orthogonal matrices by Khoruzhenko, Boris A, Sommers, Hans-Jürgen, Życzkowski, Karol

“…Statistical properties of nonsymmetric real random matrices of size M, obtained as truncations of random orthogonal N×N matrices, are investigated. We derive…”
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Regular spacings of complex eigenvalues in the one-dimensional non-hermitian Anderson model by GOLDSHEID, Ilya Ya, KHORUZHENKO, Boris A

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Glass--like transition described by toppling of stability hierarchy by Grela, Jacek, Khoruzhenko, Boris A

“…J. Phys. A: Math. Theor. 55 154001 (2022) Building on the work of Fyodorov (2004) and Fyodorov and Nadal (2012) we examine the critical behaviour of population…”
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Truncations of random symplectic unitary matrices by Khoruzhenko, Boris A, Lysychkin, Serhii

“…This paper is concerned with complex eigenvalues of truncated unitary quaternion matrices equipped with the Haar measure. The joint eigenvalue probability…”
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Extreme eigenvalues and the emerging outlier in rank-one non-Hermitian deformations of the Gaussian Unitary Ensemble by Fyodorov, Yan V, Khoruzhenko, Boris A, Poplavskyi, Mihail

“…Entropy 2023, 25(1), 74 Complex eigenvalues of random matrices $J=\text{GUE }+ i\gamma \diag (1, 0, \ldots, 0)$ provide the simplest model for studying…”
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Counting equilibria of large complex systems by instability index by Arous, Gérard Ben, Fyodorov, Yan V, Khoruzhenko, Boris A

“…PNAS (2021) Vol. 118 No. 34 e2023719118 We consider a nonlinear autonomous system of $N\gg 1$ degrees of freedom randomly coupled by both relaxational…”
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Nonlinear Analogue of the May-Wigner Instability Transition by Fyodorov, Yan V, Khoruzhenko, Boris A

“…Proc. Natl. Acad. Sci. USA , vol. 113 , Issue: 25, 6827-- 6832 (2016) We study a system of $N\gg 1$ degrees of freedom coupled via a smooth homogeneous…”
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The localization of surface states: an exactly solvable model by Khoruzhenko, Boris A., Pastur, Leonid A.

“…We discuss the discrete Schrödinger operator H = − Δ + V with surface potential: V as a function of lattice point vanishes outside a surface. In general, the…”
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Universal K-matrix distribution in beta=2 Ensembles of Random Matrices by Fyodorov, Yan V, Khoruzhenko, Boris A, Nock, André

“…J. Phys. A: Math. Theor. 46, 262001 (2013) [10 pages] The K-matrix, also known as the "Wigner reaction matrix" in nuclear scattering or "impedance matrix" in…”
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O(N) colour-flavour transformations and characteristic polynomials of real random matrices by Wei, Yi, Khoruzhenko, Boris A

“…The fermionic, bosonic and supersymmetric variants of the colour-flavour transformation are derived for the orthogonal group. These transformations are then…”
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Schur function averages for the real Ginibre ensemble by Sommers, Hans-Juergen, Khoruzhenko, Boris A

“…J. Phys. A: Math. Theor. 42 (2009) 222002 We derive an explicit simple formula for expectations of all Schur functions in the real Ginibre ensemble. It is a…”
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