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

Autor: Yan V. Fyodorov, Boris A. Khoruzhenko, Mihail Poplavskyi

Publikováno v: Entropy, Vol 25, Iss 1, p 74 (2022)

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 system via a single open channel. It is known that in the limit of large matrix dimensions N�

Externí odkaz: https://doaj.org/article/8218c2e219eb44d9917b0ff5287cc4a7

Manifolds Pinned by a High-Dimensional Random Landscape: Hessian at the Global Energy Minimum

Autor: Yan V. Fyodorov, Pierre Le Doussal

Publikováno v: Phys.Rev.E
Phys.Rev.E, 2020, 101 (2), pp.020101. ⟨10.1103/PhysRevE.101.020101⟩
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2020, 101 (2), pp.020101. ⟨10.1103/PhysRevE.101.020101⟩
Journal of Statistical Physics
Journal of Statistical Physics, Springer Verlag, 2020, 179 (1), pp.176-215. ⟨10.1007/s10955-020-02522-2⟩

We consider an elastic manifold of internal dimension $d$ and length $L$ pinned in a $N$ dimensional random potential and confined by an additional parabolic potential of curvature $\mu$. We are interested in the mean spectral density $\rho(\lambda)$

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::70cd828d95d3f9c34db51d16bfb22196
https://doi.org/10.1007/s10955-020-02522-2

Counting equilibria of large complex systems by instability index

Autor: Gérard Ben Arous, Yan V. Fyodorov, Boris A. Khoruzhenko

Publikováno v: Proc Natl Acad Sci U S A
Arous, G B, Fyodorov, Y V & Khoruzhenko, B A 2021, ' Counting equilibria of large complex systems by instability index ', Proceedings of the National Academy of Sciences of the United States of America, vol. 118, no. 34, e2023719118 . https://doi.org/10.1073/pnas.2023719118

We consider a nonlinear autonomous system of $N\gg 1$ degrees of freedom randomly coupled by both relaxational ('gradient') and non-relaxational ('solenoidal') random interactions. We show that with increased interaction strength such systems generic

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52cbf8f529b068d98351baf9d53dd07f
https://doi.org/10.1073/pnas.2023719118

Generalization of Wigner time delay to subunitary scattering systems

Autor: Lei Chen, Yan V. Fyodorov, Steven M. Anlage

Publikováno v: Chen, L, Anlage, S M & Fyodorov, Y V 2021, ' Generalization of Wigner time delay to subunitary scattering systems ', Physical Review E, vol. 103, no. 5, L050203 . https://doi.org/10.1103/PhysRevE.103.L050203

We introduce a complex generalization of Wigner time delay $\tau$ for sub-unitary scattering systems. Theoretical expressions for complex time delay as a function of excitation energy, uniform and non-uniform loss, and coupling, are given. We find ve

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e27585b9c81ed1cb8436dfa3e16a706f
https://pubmed.ncbi.nlm.nih.gov/34134212

Optimization landscape in the simplest constrained random least-square problem

Autor: Yan V Fyodorov, Rashel Tublin

Publikováno v: Journal of Physics A: Mathematical and Theoretical. 55:244008

We analyze statistical features of the ``optimization landscape'' in a random version of one of the simplest constrained optimization problems of the least-square type: finding the best approximation for the solution of an overcomplete system of $M>N

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b1892d2ed69842f907f6781c48cabc16
https://doi.org/10.1088/1751-8121/ac6d8e