Results 21 to 30 of about 8,430,397 (275)
A random-matrix theory of the number sense. [PDF]
Number sense, a spontaneous ability to process approximate numbers, has been documented in human adults, infants and newborns, and many other animals. Species as distant as monkeys and crows exhibit very similar neurons tuned to specific numerosities. How number sense can emerge in the absence of learning or fine tuning is currently unknown.
Hannagan T +3 more
europepmc +4 more sources
Unitary matrix integral for two-color QCD and the GSE-GUE crossover in random matrix theory
We analytically evaluate a unitary matrix integral which appears in the low-energy limit of two-color QCD at finite chemical potential. The result is expressed as a pfaffian. We illustrate its application to the GSE-GUE crossover in random matrix theory.
Takuya Kanazawa
doaj +3 more sources
Massive-scale gene co-expression network construction and robustness testing using random matrix theory. [PDF]
The study of gene relationships and their effect on biological function and phenotype is a focal point in systems biology. Gene co-expression networks built using microarray expression profiles are one technique for discovering and interpreting gene ...
Scott M Gibson +5 more
doaj +2 more sources
Interpolation between Airy and Poisson statistics for unitary chiral non-Hermitian random matrix ensembles [PDF]
We consider a family of chiral non-Hermitian Gaussian random matrices in the unitarily invariant symmetry class. The eigenvalue distribution in this model is expressed in terms of Laguerre polynomials in the complex plane.
Akemann, G, Bender, M
core +7 more sources
Portfolio Optimization and Random Matrix Theory in Stock Exchange [PDF]
Purpose: This study aimed to optimize the stock portfolio based on stochastic matrix theory in the stock market and to answer whether the relevant information will exist using the Marčenko–Pastur distribution.Methodology: The data of 31 shares in the ...
mostafa heidari haratemeh
doaj +1 more source
Linear systems and determinantal random point fields. [PDF]
Tracy and Widom showed that fundamentally important kernels in random matrix theory arise from systems of differential equations with rational coefficient.
Blower, Gordon
core +5 more sources
Nonlinear Perturbation of Random Matrix Theory
21=5+16 pages, 5 figures + 16 SupMat figures, additional figures/data available at: https://www.quantware.ups-tlse.fr/QWLIB/nonlinrmt/index.html additional material in SupMat (new figure panels with new parameters and new SupMat sections)
Frahm, Klaus, Shepelyansky, Dima
openaire +3 more sources
Prediction of Solar Ultraviolet Radiations Using Random Matrix Theory
Purpose: The correlation of different samples can be described by analytical models such as random matrix theory. In this study, we tried to describe the correlation of different types of ultraviolet values in different months, weeks, and hours to get a
Reza Malekzadeh +3 more
doaj +1 more source
Path Counting and Random Matrix Theory [PDF]
We establish three identities involving Dyck paths and alternating Motzkin paths, whose proofs are based on variants of the same bijection. We interpret these identities in terms of closed random walks on the halfline. We explain how these identities arise from combinatorial interpretations of certain properties of the $\beta$-Hermite and $\beta ...
Ioana Dumitriu, Etienne Rassart
openaire +3 more sources
Analysis of the Global Banking Network by Random Matrix Theory
Since the financial crisis of 2008, the network analysis of financial systems has attracted a lot of attention. In this paper, we analyze the global banking network via the method of Random Matrix Theory. By applying that method on a cross border lending
Ali Namaki +11 more
doaj +1 more source

