Search Results - "Fyodorov, Yan V."

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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Critical behavior of the number of minima of a random landscape at the glass transition point and the Tracy-Widom distribution by Fyodorov, Yan V, Nadal, Celine

“…We exploit a relation between the mean number N(m) of minima of random Gaussian surfaces and extreme eigenvalues of random matrices to understand the critical…”
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Statistics of resonance width shifts as a signature of eigenfunction nonorthogonality by Fyodorov, Yan V, Savin, Dmitry V

“…We consider an open (scattering) quantum system under the action of a perturbation of its closed counterpart. It is demonstrated that the resulting shift of…”
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Exponential number of equilibria and depinning threshold for a directed polymer in a random potential by Fyodorov, Yan V., Le Doussal, Pierre, Rosso, Alberto, Texier, Christophe

“…By extending the Kac–Rice approach to manifolds of finite internal dimension, we show that the mean numberNtot of all possible equilibria (i.e. force-free…”
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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

“…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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Resonance width distribution in RMT: Weak-coupling regime beyond Porter-Thomas by Fyodorov, Yan V., Savin, Dmitry V.

“…We employ the random matrix theory (RMT) framework to revisit the distribution of resonance widths in quantum chaotic systems weakly coupled to the continuum…”
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Complexity of random energy landscapes, glass transition, and absolute value of the spectral determinant of random matrices by FYDOROV, Yan V

“…Finding the mean of the total number N(tot) of stationary points for N-dimensional random energy landscapes is reduced to averaging the absolute value of the…”
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On Statistics of Bi-Orthogonal Eigenvectors in Real and Complex Ginibre Ensembles: Combining Partial Schur Decomposition with Supersymmetry by Fyodorov, Yan V.

“…We suggest a method of studying the joint probability density (JPD) of an eigenvalue and the associated ‘non-orthogonality overlap factor’ (also known as the…”
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A Spin Glass Model for Reconstructing Nonlinearly Encrypted Signals Corrupted by Noise by Fyodorov, Yan V.

“…We define a (symmetric key) encryption of a signal s ∈ R N as a random mapping s ↦ y = ( y 1 , … , y M ) T ∈ R M known both to the sender and a recipient. In…”
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Freezing transitions and extreme values: random matrix theory, ζ (½ + it) and disordered landscapes by Fyodorov, Yan V., Keating, Jonathan P.

“…We argue that the freezing transition scenario, previously conjectured to occur in the statistical mechanics of 1/f-noise random energy models, governs, after…”
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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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Statistics of Complex Wigner Time Delays as a Counter of S -Matrix Poles: Theory and Experiment by Chen, Lei, Anlage, Steven M., Fyodorov, Yan V.

“…We study the statistical properties of the complex generalization of Wigner time delay τW for subunitary wave-chaotic scattering systems. We first demonstrate…”
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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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Condition Numbers for Real Eigenvalues in the Real Elliptic Gaussian Ensemble by Fyodorov, Yan V., Tarnowski, Wojciech

“…We study the distribution of the eigenvalue condition numbers κ i = ( l i ∗ l i ) ( r i ∗ r i ) associated with real eigenvalues λ i of partially asymmetric N…”
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Universal results for correlations of characteristic polynomials: Riemann-Hilbert approach by STRAHOV, Eugene, FYODOROV, Yan V

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Optimal wave fields for micromanipulation in complex scattering environments by Horodynski, Michael, Kühmayer, Matthias, Brandstötter, Andre, Pichler, Kevin, Fyodorov, Yan V., Kuhl, Ulrich, Rotter, Stefan

“…The manipulation of small objects with light has become an indispensable tool in many areas of research, ranging from physics to biology and medicine 1 – 7 …”
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Freezing transition, characteristic polynomials of random matrices, and the Riemann zeta function by Fyodorov, Yan V, Hiary, Ghaith A, Keating, Jonathan P

“…We argue that the freezing transition scenario, previously explored in the statistical mechanics of 1/f-noise random energy models, also determines the value…”
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Statistics of Extremes in Eigenvalue-Counting Staircases by Fyodorov, Yan V., Le Doussal, Pierre

“…We consider the number NθA ( θ ) of eigenvalues eiθj of a random unitary matrix, drawn from CUEβ ( N ) , in the interval θj ∈ [ θA , θ ] . The deviations from…”
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Moments of the Position of the Maximum for GUE Characteristic Polynomials and for Log-Correlated Gaussian Processes by Fyodorov, Yan V., Doussal, Pierre Le

“…We study three instances of log-correlated processes on the interval: the logarithm of the Gaussian unitary ensemble (GUE) characteristic polynomial, the…”
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The band structure of a model of spatial random permutation by Fyodorov, Yan V., Muirhead, Stephen

“…We study a random permutation of a lattice box in which each permutation is given a Boltzmann weight with energy equal to the total Euclidean displacement. Our…”
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