Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Eugene Kanzieper"'
Publikováno v:
Physical Review E. 107
Introduced in the early days of random matrix theory, the autocovariances $\delta I^j_k={\rm cov}(s_j, s_{j+k})$ of level spacings $\{s_j\}$ accommodate a detailed information on correlations between individual eigenlevels. It was first conjectured b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e95e1800e893835dc1d17b94afb46bff
https://doi.org/10.1103/physreve.107.l032201
https://doi.org/10.1103/physreve.107.l032201
Autor:
Eugene Kanzieper, Roman Riser
Publikováno v:
Physica D: Nonlinear Phenomena. 444:133599
We study the power spectrum of eigen-angles of random matrices drawn from the circular unitary ensemble ${\rm CUE}(N)$ and show that it can be evaluated in terms of either a Fredholm determinant, or a Toeplitz determinant, or a sixth Painlev\'e funct
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f72abed3c22b554309b7d58b656ce1b
https://doi.org/10.1016/j.physd.2022.133599
https://doi.org/10.1016/j.physd.2022.133599
Autor:
Eugene Kanzieper, Roman Riser
Triggered by a controversy surrounding a universal behaviour of the power spectrum in quantum systems exhibiting regular classical dynamics, we focus on a model of random diagonal matrices (RDM), often associated with the Poisson spectral universalit
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d93699bbd2709daed80b84e8946969c
Publikováno v:
Annals of Physics. 413:168065
The power spectrum analysis of spectral fluctuations in complex wave and quantum systems has emerged as a useful tool for studying their internal dynamics. In this paper, we formulate a nonperturbative theory of the power spectrum for complex systems
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f0f9bfdae6ed73e57e5a1d361a8ce346
https://doi.org/10.1016/j.aop.2019.168065
https://doi.org/10.1016/j.aop.2019.168065
Autor:
Eugene Kanzieper
Publikováno v:
Constructive Approximation. 41:615-651
The Painlev\'e transcendents discovered at the turn of the XX century by pure mathematical reasoning, have later made their surprising appearance -- much in the way of Wigner's "miracle of appropriateness" -- in various problems of theoretical physic
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ab5878edf90cca999dd10c547163b89a
https://doi.org/10.1007/s00365-015-9276-4
https://doi.org/10.1007/s00365-015-9276-4
We present a non-perturbative analysis of the power-spectrum of energy level fluctuations in fully chaotic quantum structures. Focussing on systems with broken time-reversal symmetry, we employ a finite-$N$ random matrix theory to derive an exact mul
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::205c7d396d2fa1229dd7e73e84ec2296
http://arxiv.org/abs/1703.06398
http://arxiv.org/abs/1703.06398
Publikováno v:
Ann. Appl. Probab. 26, no. 5 (2016), 2733-2753
We study the large-$n$ limit of the probability $p_{2n,2k}$ that a random $2n\times 2n$ matrix sampled from the real Ginibre ensemble has $2k$ real eigenvalues. We prove that, $$\lim_{n\rightarrow \infty}\frac {1}{\sqrt{2n}} \log p_{2n,2k}=\lim_{n\ri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3094ef06e1eeb6c2d1f1d10eb96ddc68
http://wrap.warwick.ac.uk/81976/3/WRAP_euclid.aoap.1476884302.pdf
http://wrap.warwick.ac.uk/81976/3/WRAP_euclid.aoap.1476884302.pdf
Autor:
Eugene Kanzieper, Gernot Akemann
Publikováno v:
Journal of Statistical Physics. 129:1159-1231
In the recent publication [E. Kanzieper and G. Akemann, Phys. Rev. Lett. 95, 230201 (2005); arXiv: math-ph/0507058], an exact solution was reported for the probability "p_{n,k}" to find exactly "k" real eigenvalues in the spectrum of an "n" by "n" re
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57255d92f9a6e7f859c1e5c3dea9f1c5
https://doi.org/10.1007/s10955-007-9381-2
https://doi.org/10.1007/s10955-007-9381-2
Autor:
Eugene Kanzieper
This article examines the replica method in random matrix theory (RMT), with particular emphasis on recently discovered integrability of zero-dimensional replica field theories. It first provides an overview of both fermionic and bosonic versions of
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https://explore.openaire.eu/search/publication?articleId=doi_________::2d60bad9974148b89472c7dce6337c1a
https://doi.org/10.1093/oxfordhb/9780198744191.013.8
https://doi.org/10.1093/oxfordhb/9780198744191.013.8
We determine the joint probability density function (JPDF) of reflection eigenvalues in three Dyson's ensembles of normal-conducting chaotic cavities coupled to the outside world through both ballistic and tunnel point contacts. Expressing the JPDF i
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ea4d17e1ab7693ba8e86a19168354f2