Results 41 to 50 of about 1,526,545 (357)
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
openaire +2 more sources
Unitary matrix integral for two-color QCD and the GSE-GUE crossover in random matrix theory
Physics Letters B, 2021 We analytically evaluate a unitary matrix integral which appears in the low-energy limit of two-color QCD at finite chemical potential. The result is expressed as a pfaffian. We illustrate its application to the GSE-GUE crossover in random matrix theory.
Takuya Kanazawa
doaj +1 more source
Data‐driven performance metrics for neural network learning
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri +2 more
wiley +1 more source
Noninteracting fermions in a trap and random matrix theory [PDF]
Journal of Physics A: Mathematical and Theoretical, 2018 We review recent advances in the theory of trapped fermions using techniques borrowed from random matrix theory (RMT) and, more generally, from the theory of determinantal point processes.
D. Dean +3 more
semanticscholar +1 more source
Dynamical quantum phase transitions from random matrix theory [PDF]
QuantumWe 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
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
doaj +1 more source
Random Matrix Theory at Nonzero µ andT [PDF]
Progress of Theoretical Physics Supplement, 2007 We review applications of random matrix theory to QCD at nonzero temperature and chemical potential. The chiral phase transition of QCD and QCD-like theories is discussed in terms of eigenvalues of the Dirac operator. We show that for QCD at $ \ne 0$, which has a sign problem, the discontinuity in the chiral condensate is due to an alternative to the ...
Jacobus J. M. Verbaarschot +2 more
openaire +3 more sources
Action correlations and random matrix theory [PDF]
Journal of Physics A: Mathematical and General, 2003 26 pages, 15 ...
Uzy Smilansky, Basile Verdene
openaire +5 more sources
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
doaj +1 more source
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
doaj +1 more source