Results 31 to 40 of about 1,067,783 (177)
Directed random geometric graphs: structural and spectral properties
Journal of Physics: Complexity, 2022 In this work we analyze structural and spectral properties of a model of directed random geometric graphs: given n vertices uniformly and independently distributed on the unit square, a directed edge is set between two vertices if their distance is ...
Kevin Peralta-Martinez +1 more
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Dynamical phases in a ``multifractal'' Rosenzweig-Porter model
SciPost Physics, 2021 We consider the static and the dynamic phases in a Rosenzweig-Porter (RP) random matrix ensemble with a distribution of off-diagonal matrix elements of the form of the large-deviation ansatz.
Ivan M. Khaymovich, Vladimir E. Kravtsov
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Generalized spectral form factors and the statistics of heavy operators
Journal of High Energy Physics, 2022 The spectral form factor is a powerful probe of quantum chaos that diagnoses the statistics of energy levels, but is blind to other features of a theory such as matrix elements of operators or OPE coefficients in conformal field theories.
Alexandre Belin +3 more
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Proof methods in random matrix theory
Probability Surveys, 2023 In this survey article, we give an introduction to two methods of proof in random matrix theory: The method of moments and the Stieltjes transform method. We thoroughly develop these methods and apply them to show both the semicircle law and the Marchenko-Pastur law for random matrices with independent entries.
Fleermann, Michael, Kirsch, Werner
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Quartic Anharmonic Oscillator and Random Matrix Theory [PDF]
, 1995 In this paper the relationship between the problem of constructing the ground state energy for the quantum quartic oscillator and the problem of computing mean eigenvalue of large positively definite random hermitean matrices is established.
Cicuta, G. M. +2 more
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Driving Stability Analysis Using Naturalistic Driving Data With Random Matrix Theory
IEEE Access, 2020 Driving behavior analysis has diverse applications in intelligent transportation systems (ITSs). The naturalistic driving data potentially contain rich information regarding human drivers' habits and skills in practical and natural driving conditions ...
Kai Song +4 more
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Random Matrix Theory, Chiral Perturbation Theory, and Lattice Data [PDF]
, 1999 Recently, the chiral logarithms predicted by quenched chiral perturbation theory have been extracted from lattice calculations of hadron masses. We argue that the deviations of lattice results from random matrix theory starting around the so-called ...
Berbenni-Bitsch, M. E. +6 more
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Quantum Jackiw-Teitelboim gravity, Selberg trace formula, and random matrix theory
Physical Review Research, 2020 We show that the partition function of quantum Jackiw-Teitelboim (JT) gravity, including topological fluctuations, is equivalent to the partition function of a Maass-Laplace operator of large (imaginary) weight acting on noncompact, infinite-area ...
Antonio M. García-García +1 more
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Analysis of Collective Behavior of Iran Banking Sector by Random Matrix Theory [PDF]
Iranian Journal of Finance, 2019 Banked based financial sector of Iran leads us to focus on the banking industry and its components. One of the important aspects of this industry is its coupling structure. In this paper, we have analyzed the collective behavior of Iran banking sector by
Reza Raei, Ali Namaki, Hanie Vahabi
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Random matrix theory and $QCD_3$
, 1994 We suggest that the spectral properties near zero virtuality of three dimensional QCD, follow from a Hermitean random matrix model. The exact spectral density is derived for this family of random matrix models both for even and odd number of fermions ...
A. N. Redlich +24 more
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