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

One step replica symmetry breaking and extreme order statistics of logarithmic REMs

Autor: Xiangyu Cao, Yan V. Fyodorov, Pierre Le Doussal

Publikováno v: SciPost Physics, Vol 1, Iss 2, p 011 (2016)

Building upon the one-step replica symmetry breaking formalism, duly understood and ramified, we show that the sequence of ordered extreme values of a general class of Euclidean-space logarithmically correlated random energy models (logREMs) behave

Externí odkaz: https://doaj.org/article/40824cab4ff344a68ceb3bed92a7c9a2

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

Autor: Yan V Fyodorov, Mohammed Osman

Motivated by the phenomenon of coherent perfect absorption, we study the shape of the deepest dips in the frequency-dependent single-channel reflection of waves from a cavity with spatially uniform losses. We show that it is largely determined by non

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::28ba3f4bbc78c9212b1cc1b17d84b489