The random phase property and the Lyapunov Spectrum for disordered multi-channel systems [PDF]
A random phase property establishing in the weak coupling limit a link between quasi-one-dimensional random Schrödinger operators and full random matrix theory is advocated.
Römer, Rudolf A., Schulz-Baldes, H.
core +1 more source
Fisher-Hartwig asymptotics and log-correlated fields in random matrix theory
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
core +2 more sources
Generalized spectral form factors and the statistics of heavy operators
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
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
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
Quantum Jackiw-Teitelboim gravity, Selberg trace formula, and random matrix theory
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
doaj +1 more source
Analysis of Collective Behavior of Iran Banking Sector by Random Matrix Theory [PDF]
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
doaj +1 more source
Random matrix theory, numerical computation and applications
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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Pseudo‐Hermitian random matrix theory [PDF]
AbstractComplex extension of quantum mechanics and the discovery of pseudo‐unitarily invariant random matrix theory has set the stage for a number of applications of these concepts in physics. We briefly review the basic ideas and present applications to problems in statistical mechanics where new results have become possible.
Srivastava, S. C. L., Jain, S. R.
openaire +3 more sources
Towards large scale continuous EDA: a random matrix theory perspective
Estimation of distribution algorithms (EDA) are a major branch of evolutionary algorithms (EA) with some unique advantages in principle. They are able to take advantage of correlation structure to drive the search more efficiently, and they are able to ...
Kabán, Ata +5 more
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