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pro vyhledávání: '"Fyodorov, A A"'
In this article, we introduce and analyse some statistical properties of a class of models of random landscapes of the form ${\cal H}({\bf x})=\frac{\mu}{2}{\bf x}^2+\sum_{l=1}^M \phi_l({\bf k}_l\cdot {\bf x}), \, \, {\bf x}\in \mathbb{R}^N,\,\, \mu>
Externí odkaz:
http://arxiv.org/abs/2411.09687
We study the mean diagonal overlap of left and right eigenvectors associated with complex eigenvalues in $N\times N$ non-Hermitian random Gaussian matrices. In well known works by Chalker and Mehlig the expectation of this (self-)overlap was computed
Externí odkaz:
http://arxiv.org/abs/2402.09296
Celebrated fluctuation-dissipation theorem (FDT) linking the response function to time dependent correlations of observables measured in the reference unperturbed state is one of the central results in equilibrium statistical mechanics. In this lette
Externí odkaz:
http://arxiv.org/abs/2310.09018
We study analytically the Chalker-Mehlig mean diagonal overlap $\mathcal{O}(z)$ between left and right eigenvectors associated with a complex eigenvalue $z$ of $N\times N$ matrices in the real Ginibre ensemble (GinOE). We first derive a general finit
Externí odkaz:
http://arxiv.org/abs/2310.04307
Autor:
Fyodorov, Yan V.
In an absorptive system the Wigner reaction $K-$matrix (directly related to the impedance matrix in acoustic or electromagnetic wave scattering) is non-selfadjoint, hence its eigenvalues are complex. The most interesting regime arises when the absorp
Externí odkaz:
http://arxiv.org/abs/2308.05682
We derive, within the replica formalism, a generalisation of the Crisanti-Sommers formula to describe the large deviation function (LDF) ${\cal L}(e)$ for the speed-$N$ atypical fluctuations of the intensive ground-state energy $e$ of a generic spher
Externí odkaz:
http://arxiv.org/abs/2306.11927
Autor:
Fyodorov, Yan V., Safonova, Elizaveta
Publikováno v:
Physical Review E 108, 044206 (2023)
Using the supersymmetric method of random matrix theory within the Heidelberg approach framework we provide statistical description of stationary intensity sampled in locations inside an open wave-chaotic cavity, assuming that the time-reversal invar
Externí odkaz:
http://arxiv.org/abs/2305.12406
Publikováno v:
Паёми Сино, Vol 26, Iss 2, Pp 333-345 (2024)
A retrospective analysis of a patient with renal cell carcinoma (RCC) in renal allografts is presented, providing a comprehensive overview of the patient's medical history, the findings from various examinations, and the surgical interventions. The p
Externí odkaz:
https://doaj.org/article/b7991980f1fa4d208f643a699ba1b07c
Using the framework of supersymmetric non-linear $\sigma$-model we develop a general non-perturbative characterisation of universal features of the density $\rho(\Gamma)$ of the imaginary parts (``width'') for $S$-matrix poles (``resonances'') descri
Externí odkaz:
http://arxiv.org/abs/2211.03376
Publikováno v:
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 resonances in wave scattering from a quantum chaotic system via a single open channel. It is known that in the limit of la
Externí odkaz:
http://arxiv.org/abs/2211.00180