Results 31 to 40 of about 8,171,715 (369)

Recent progress in combinatorial random matrix theory [PDF]

open access: yes, 2020
We discuss recent progress many problems in random matrix theory of a combinatorial nature, including several breakthroughs that solve long standing famous conjectures.
V. Vu
semanticscholar   +1 more source

Optimal Linear Filtering for Networked Control Systems With Random Matrices, Correlated Noises, and Packet Dropouts

open access: yesIEEE Access, 2020
In this paper, the optimal linear filtering problem for linear discrete-time stochastic systems with random matrices, correlated noises and packet dropouts is studied where the random matrices are real and appear both in the the state and measurement ...
Wei Liu   +4 more
doaj   +1 more source

The Spectral Distribution of Random Mixed Graphs

open access: yesAxioms, 2022
In this work, we propose a random mixed graph model Gn(p(n),q(n)) that incorporates both the classical Erdős-Rényi’s random graph model and the random oriented graph model.
Yue Guan   +7 more
doaj   +1 more source

The feasibility and stability of large complex biological networks: a random matrix approach. [PDF]

open access: yesSci Rep, 2018
In the 70’s, Robert May demonstrated that complexity creates instability in generic models of ecological networks having random interaction matrices A. Similar random matrix models have since been applied in many disciplines.
Stone L.
europepmc   +2 more sources

Projecting Financial Technical Indicators Into Networks as a Tool to Build a Portfolio

open access: yesIEEE Access, 2021
Using the topological structure of financial networks to build a portfolio has attracted a wide range of research interests. A similarity matrix based on the technical indicators (TIs), and a correlation matrix based on the stock returns, are used to ...
Dongxu Mo, Yan Chen
doaj   +1 more source

On the rank of a random binary matrix [PDF]

open access: yesThe Electronic Journal of Combinatorics, 2019
We study the rank of a random $n \times m$ matrix $\mathbf{A}_{n,m;k}$ with entries from $GF(2)$, and exactly $k$ unit entries in each column, the other entries being zero. The columns are chosen independently and uniformly at random from the set of all ${n \choose k}$ such columns.
Colin Cooper, Wesley Pegden, Alan Frieze
openaire   +5 more sources

Expected Values of Scalar-Valued Functions of a Complex Wishart Matrix

open access: yesMathematics, 2023
The complex Wishart distribution has ample applications in science and engineering. In this paper, we give explicit expressions for E(tr(Wh))g(tr(Wj))i and E(tr(W−h))g(tr(W−j))i, respectively, for particular values of g, h, i, j, g+h+i+j≤5, where W ...
Daya K. Nagar   +2 more
doaj   +1 more source

Onset of random matrix behavior in scrambling systems [PDF]

open access: yesJournal of High Energy Physics, 2018
A bstractThe fine grained energy spectrum of quantum chaotic systems is widely believed to be described by random matrix statistics. A basic scale in such a system is the energy range over which this behavior persists.
H. Gharibyan   +3 more
semanticscholar   +1 more source

Dynamics of Correlation Structure in Stock Market

open access: yesEntropy, 2014
In this paper a correction factor for Jennrich’s statistic is introduced in order to be able not only to test the stability of correlation structure, but also to identify the time windows where the instability occurs.
Maman Abdurachman Djauhari, Siew Lee Gan
doaj   +1 more source

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