Results 31 to 40 of about 128,369 (250)

Random matrix theory for complexity growth and black hole interiors

open access: yesJournal of High Energy Physics, 2022
We study a precise and computationally tractable notion of operator complexity in holographic quantum theories, including the ensemble dual of Jackiw-Teitelboim gravity and two-dimensional holographic conformal field theories.
Arjun Kar   +3 more
doaj   +1 more source

Quasiclassical Random Matrix Theory [PDF]

open access: yesPhysical Review Letters, 1996
We directly combine ideas of the quasiclassical approximation with random matrix theory and apply them to the study of the spectrum, in particular to the two-level correlator. Bogomolny's transfer operator T, quasiclassically an NxN unitary matrix, is considered to be a random matrix.
openaire   +3 more sources

Dynamical quantum phase transitions from random matrix theory [PDF]

open access: yesQuantum
We uncover a novel dynamical quantum phase transition, using random matrix theory and its associated notion of planar limit. We study it for the isotropic XY Heisenberg spin chain.
David Pérez-García   +2 more
doaj   +1 more source

GNSS jamming detection of UAV ground control station using random matrix theory

open access: yesICT 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
doaj   +1 more source

QUANTUM DYNAMICS AND RANDOM MATRIX THEORY [PDF]

open access: yesLattice 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

Directed random geometric graphs: structural and spectral properties

open access: yesJournal 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
doaj   +1 more source

Dynamical phases in a ``multifractal'' Rosenzweig-Porter model

open access: yesSciPost 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
doaj   +1 more source

Generalized spectral form factors and the statistics of heavy operators

open access: yesJournal 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
doaj   +1 more source

Driving Stability Analysis Using Naturalistic Driving Data With Random Matrix Theory

open access: yesIEEE 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
doaj   +1 more source

Partial Discharge Detection and Recognition in Random Matrix Theory Paradigm

open access: yesIEEE 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
doaj   +1 more source

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