Results 41 to 50 of about 8,430,397 (275)
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 +6 more sources
GNSS jamming detection of UAV ground control station using random matrix theory
ICT Express, 2021 Global navigation satellite systems (GNSS) are the main navigation and control systems in unmanned aerial vehicles (UAVs) and their ground control stations.
Omid Sharifi-Tehrani +2 more
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Fisher-Hartwig asymptotics and log-correlated fields in random matrix theory [PDF]
, 2023 This thesis is concerned with establishing and studying connections between random matrices and log-correlated fields. This is done with the help of formulae, including some newly established ones, for the asymptotics of Toeplitz, and Toeplitz+Hankel ...
Forkel, Johannes
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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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Partial Discharge Detection and Recognition in Random Matrix Theory Paradigm
IEEE Access, 2017 The detection and recognition of partial discharge (PD) is an important topic in insulation tests and diagnoses. Take advantage of the affluent results from random matrix theory (RMT), such as eigenvalue analysis, M-P law, the ring law, and so on, a ...
Lingen Luo +4 more
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Random matrix theory, numerical computation and applications
, 2018 This paper serves to prove the thesis that a computational trick can open entirely new approaches to theory. We illustrate this by describ- ing such random matrix techniques as the stochastic operator approach, the method of ghosts and shadows, and the ...
Sutton, Brian David +2 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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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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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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Duality in non-Hermitian random matrix theory
Nuclear Physics BWe consider 9 Gaussian matrix ensembles characterized by single symmetry among the 38-fold symmetry classification classes of non-Hermitian random matrices, and establish exact duality formulae of certain observables between them.
Dang-Zheng Liu, Lu Zhang
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