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Counting equilibria of large complex systems by instability index

Proceedings of the National Academy of Sciences - PNAS, 2021-08, Vol.118 (34), p.1-8

2021

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Critical behavior of the number of minima of a random landscape at the glass transition point and the Tracy-Widom distribution

Physical review letters, 2012-10, Vol.109 (16), p.167203-167203, Article 167203

2012

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Statistics of resonance width shifts as a signature of eigenfunction nonorthogonality

Physical review letters, 2012-05, Vol.108 (18), p.184101-184101, Article 184101

2012

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Exponential number of equilibria and depinning threshold for a directed polymer in a random potential

Annals of physics, 2018-10, Vol.397, p.1-64

2018

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Complexity of random energy landscapes, glass transition, and absolute value of the spectral determinant of random matrices

Physical review letters, 2004-06, Vol.92 (24), p.240601.1-240601.4, Article 240601

FYDOROV, Yan V

2004

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On Statistics of Bi-Orthogonal Eigenvectors in Real and Complex Ginibre Ensembles: Combining Partial Schur Decomposition with Supersymmetry

Communications in mathematical physics, 2018-10, Vol.363 (2), p.579-603

Fyodorov, Yan V.

2018

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Extreme Eigenvalues and the Emerging Outlier in Rank-One Non-Hermitian Deformations of the Gaussian Unitary Ensemble

Entropy (Basel, Switzerland), 2022-12, Vol.25 (1), p.74

2022

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Resonance width distribution in RMT: Weak-coupling regime beyond Porter-Thomas

Europhysics letters, 2015-05, Vol.110 (4), p.40006-p1-40006-p6

2015

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Large time zero temperature dynamics of the spherical p = 2-spin glass model of finite size

Journal of statistical mechanics, 2015-11, Vol.2015 (11), p.P11017-19

2015

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A Spin Glass Model for Reconstructing Nonlinearly Encrypted Signals Corrupted by Noise

Journal of statistical physics, 2019-06, Vol.175 (5), p.789-818

Fyodorov, Yan V.

2019

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Optimization landscape in the simplest constrained random least-square problem

Journal of physics. A, Mathematical and theoretical, 2022-06, Vol.55 (24), p.244008

2022

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Distribution of zeros of the S-matrix of chaotic cavities with localized losses and coherent perfect absorption: non-perturbative results

Journal of physics. A, Mathematical and theoretical, 2017-07, Vol.50 (30), p.30

2017

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Freezing transitions and extreme values: random matrix theory, ζ (1⁄2 + it) and disordered landscapes

Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 2014-01, Vol.372 (2007), p.1-32

2014

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Nonlinear analogue of the May–Wigner instability transition

Proceedings of the National Academy of Sciences - PNAS, 2016-06, Vol.113 (25), p.6827-6832

2016

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Statistics of Complex Wigner Time Delays as a Counter of S -Matrix Poles: Theory and Experiment

Physical review letters, 2021-11, Vol.127 (20), p.1-204101, Article 204101

2021

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Counting equilibria in a random non-gradient dynamics with heterogeneous relaxation rates

Journal of physics. A, Mathematical and theoretical, 2022-04, Vol.55 (14), p.144001

2022

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Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities

Journal of physics. A, Mathematical and theoretical, 2022-06, Vol.55 (22), p.224013

2022

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Optimal wave fields for micromanipulation in complex scattering environments

Nature photonics, 2020-03, Vol.14 (3), p.149-153

2020

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Condition Numbers for Real Eigenvalues in the Real Elliptic Gaussian Ensemble

Annales Henri Poincaré, 2021, Vol.22 (1), p.309-330

2021

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Statistics of Extremes in Eigenvalue-Counting Staircases

Physical review letters, 2020-05, Vol.124 (21), p.1-210602, Article 210602

2020

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Hessian spectrum at the global minimum of high-dimensional random landscapes

Journal of physics. A, Mathematical and theoretical, 2018-11, Vol.51 (47), p.474002

2018

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Freezing transition, characteristic polynomials of random matrices, and the Riemann zeta function

Physical review letters, 2012-04, Vol.108 (17), p.170601-170601, Article 170601

2012

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Extreme values of CUE characteristic polynomials: a numerical study

Journal of physics. A, Mathematical and theoretical, 2018-11, Vol.51 (46), p.464001

2018

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Statistics of off-diagonal entries of Wigner K-matrix for chaotic wave systems with absorption

Journal of physics. A, Mathematical and theoretical, 2020-04, Vol.53 (16), p.165701

2020

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On characteristic polynomials for a generalized chiral random matrix ensemble with a source

Journal of physics. A, Mathematical and theoretical, 2018-04, Vol.51 (13), p.134003

2018

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Counting equilibria of large complex systems by instability index

Critical behavior of the number of minima of a random landscape at the glass transition point and the Tracy-Widom distribution

Statistics of resonance width shifts as a signature of eigenfunction nonorthogonality

Exponential number of equilibria and depinning threshold for a directed polymer in a random potential

Complexity of random energy landscapes, glass transition, and absolute value of the spectral determinant of random matrices

On Statistics of Bi-Orthogonal Eigenvectors in Real and Complex Ginibre Ensembles: Combining Partial Schur Decomposition with Supersymmetry

Extreme Eigenvalues and the Emerging Outlier in Rank-One Non-Hermitian Deformations of the Gaussian Unitary Ensemble

Resonance width distribution in RMT: Weak-coupling regime beyond Porter-Thomas

Large time zero temperature dynamics of the spherical p = 2-spin glass model of finite size

A Spin Glass Model for Reconstructing Nonlinearly Encrypted Signals Corrupted by Noise

Optimization landscape in the simplest constrained random least-square problem

Distribution of zeros of the S-matrix of chaotic cavities with localized losses and coherent perfect absorption: non-perturbative results

Freezing transitions and extreme values: random matrix theory, ζ (1⁄2 + it) and disordered landscapes

Nonlinear analogue of the May–Wigner instability transition

Statistics of Complex Wigner Time Delays as a Counter of S -Matrix Poles: Theory and Experiment

Counting equilibria in a random non-gradient dynamics with heterogeneous relaxation rates

Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities

Optimal wave fields for micromanipulation in complex scattering environments

Condition Numbers for Real Eigenvalues in the Real Elliptic Gaussian Ensemble

Statistics of Extremes in Eigenvalue-Counting Staircases

Hessian spectrum at the global minimum of high-dimensional random landscapes

Freezing transition, characteristic polynomials of random matrices, and the Riemann zeta function

Extreme values of CUE characteristic polynomials: a numerical study

Statistics of off-diagonal entries of Wigner K-matrix for chaotic wave systems with absorption

On characteristic polynomials for a generalized chiral random matrix ensemble with a source

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