Demythifying the belief in cryptocurrencies decentralized aspects. A study of cryptocurrencies time cross-correlations with common currencies, commodities and …
The main question of this article is about whether cryptocurrencies, within their
decentralization aspects, are a real commodity or/and a virtual currency. To resolve such a …
decentralization aspects, are a real commodity or/and a virtual currency. To resolve such a …
Statistical mechanics of complex neural systems and high dimensional data
Recent experimental advances in neuroscience have opened new vistas into the immense
complexity of neuronal networks. This proliferation of data challenges us on two parallel …
complexity of neuronal networks. This proliferation of data challenges us on two parallel …
Principal-component-analysis eigenvalue spectra from data with symmetry-breaking structure
Principal component analysis (PCA) is a ubiquitous method of multivariate statistics that
focuses on the eigenvalues λ and eigenvectors of the sample covariance matrix of a data …
focuses on the eigenvalues λ and eigenvectors of the sample covariance matrix of a data …
Finite-size corrections to the spectrum of regular random graphs: An analytical solution
We develop a thorough analytical study of the O (1/N) correction to the spectrum of regular
random graphs with N→∞ nodes. The finite-size fluctuations of the resolvent are given in …
random graphs with N→∞ nodes. The finite-size fluctuations of the resolvent are given in …
[HTML][HTML] An intriguing connection between Pisarski's fixed point and (2+ 3)-spin glasses
V Lahoche, DO Samary - Physics Letters A, 2024 - Elsevier
This paper aims to establish a connection between Pisarski's fixed point and a (2+ 3)-spin-
glass model with sextic confinement potential. This is made possible by the unconventional …
glass model with sextic confinement potential. This is made possible by the unconventional …
Asymptotic form of the density profile for Gaussian and Laguerre random matrix ensembles with orthogonal and symplectic symmetry
PJ Forrester, NE Frankel, TM Garoni - Journal of mathematical physics, 2006 - pubs.aip.org
In a recent study we have obtained correction terms to the large N asymptotic expansions of
the eigenvalue density for the Gaussian unitary and Laguerre unitary ensembles of random …
the eigenvalue density for the Gaussian unitary and Laguerre unitary ensembles of random …
[图书][B] Bayesian analysis of gene expression data
BK Mallick, D Gold, V Baladandayuthapani - 2009 - books.google.com
The field of high-throughput genetic experimentation is evolving rapidly, with the advent of
new technologies and new venues for data mining. Bayesian methods play a role central to …
new technologies and new venues for data mining. Bayesian methods play a role central to …
An intriguing connection between the Bardeen-Moshe-Bander phenomenon and 2+ p spin glasses
V Lahoche, DO Samary - arXiv preprint arXiv:2404.05436, 2024 - arxiv.org
This paper aims to establish a close connection between the Bardeen-Moshe-Bander
phenomenon and ap= 2+ 3 spin-glass model with sextic confinement potential. This is made …
phenomenon and ap= 2+ 3 spin-glass model with sextic confinement potential. This is made …
Replica-symmetric approach to the typical eigenvalue fluctuations of Gaussian random matrices
FL Metz - Journal of Physics A: Mathematical and Theoretical, 2017 - iopscience.iop.org
We discuss an approach to compute the first and second moments of the number of
eigenvalues IN that lie in an arbitrary interval of the real line for $ N\times N $ Gaussian …
eigenvalues IN that lie in an arbitrary interval of the real line for $ N\times N $ Gaussian …
Comment on “Finite size effects in the averaged eigenvalue density of Wigner random-sign real symmetric matrices”
PJ Forrester, AK Trinh - Physical Review E, 2019 - APS
The recent paper “Finite size effects in the averaged eigenvalue density of Wigner random-
sign real symmetric matrices” by GS Dhesi and M. Ausloos [Phys. Rev. E 93, 062115 (2016) …
sign real symmetric matrices” by GS Dhesi and M. Ausloos [Phys. Rev. E 93, 062115 (2016) …