Results 51 to 60 of about 1,067,783 (177)
The geometry of evolved community matrix spectra
Scientific Reports, 2022 Random matrix theory has been applied to food web stability for decades, implying elliptical eigenvalue spectra and that large food webs should be unstable.
Silja Borring Låstad, Jan O. Haerter
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Compact support probability distributions in random matrix theory [PDF]
, 1998 We consider a generalization of the fixed and bounded trace ensembles introduced by Bronk and Rosenzweig up to an arbitrary polynomial potential. In the large-N limit we prove that the two are equivalent and that their eigenvalue distribution coincides ...
C.W.J. Beenakker +20 more
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Uncovering functional signature in neural systems via random matrix theory.
PLoS Computational Biology, 2019 Neural systems are organized in a modular way, serving multiple functionalities. This multiplicity requires that both positive (e.g. excitatory, phase-coherent) and negative (e.g.
Assaf Almog +6 more
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N $$ \mathcal{N} $$ = 2 JT supergravity and matrix models
Journal of High Energy Physics, 2023 Generalizing previous results for N $$ \mathcal{N} $$ = 0 and N $$ \mathcal{N} $$ = 1, we analyze N $$ \mathcal{N} $$ = 2 JT supergravity on asymptotically AdS2 spaces with arbitrary topology and show that this theory of gravity is dual, in a holographic
Gustavo J. Turiaci, Edward Witten
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An Introduction to Wishart Matrix Moments
, 2018 These lecture notes provide a comprehensive, self-contained introduction to the analysis of Wishart matrix moments. This study may act as an introduction to some particular aspects of random matrix theory, or as a self-contained exposition of Wishart ...
Bishop, Adrian N. +2 more
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Chiral random matrix theory for two-color QCD at high density
, 2010 We identify a non-Hermitian chiral random matrix theory that corresponds to two-color QCD at high density. We show that the partition function of the random matrix theory coincides with the partition function of the finite-volume effective theory at high
Kanazawa, Takuya +2 more
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Eigenvalue-based Detection Techniques Using Finite Dimensional Complex Random Matrix Theory: A Review [PDF]
EAI Endorsed Transactions on Industrial Networks and Intelligent Systems, 2018 Detection of primary users without requiring information of signal is of great importance in spectrum sensing (SS) in Cognitive Radio. Therefore, in recent years, eigenvalue based spectrum sensing algorithms are under the spotlight.
Ayse Kortun
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Asymptotic Analysis of Large Cooperative Relay Networks Using Random Matrix Theory
EURASIP Journal on Advances in Signal Processing, 2008 Cooperative transmission is an emerging communication technology that takes advantage of the broadcast nature of wireless channels. In cooperative transmission, the use of relays can create a virtual antenna array so that multiple-input/multiple-output ...
H. Poor, Z. Han, Husheng Li
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SciPost Physics, 2022 We present a gravitational theory that interpolates between JT gravity, and a gravity theory with a fixed boundary Hamiltonian. For this, we consider a matrix integral with the insertion of a Gaussian with variance $\sigma^2$, centered around a matrix
Andreas Blommaert, Jorrit Kruthoff
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QUANTUM DYNAMICS AND RANDOM MATRIX THEORY [PDF]
Lattice Statistics and Mathematical Physics, 2002 We compute the survival probability of an initial state, with an energy in a certain window, by means of random matrix theory. We determine its probability distribution and show that is is universal, i.e. characterised only by the symmetry class of the hamiltonian and independent of the initial state.
openaire +4 more sources