Random matrix theory applied to synchrophasor measurements yields an early anomaly detector for power systems via a mean spectral radius indicator with statistical threshold.
Random Matrix theory approach to Quantum mechanics
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abstract
In this paper, we give random matrix theory approach to the quantum mechanics using the quantum Hamilton-Jacobi formalism. We show that the bound state problems in quantum mechanics are analogous to solving Gaussian unitary ensemble of random matrix theory. This study helps in identify the potential appear in the joint probability distribution function in the random matrix theory as a super potential. This approach allows to extend the random matrix theory to the newly discovered exceptional polynomials.
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Early Anomaly Detection in Power Systems Based on Random Matrix Theory
Random matrix theory applied to synchrophasor measurements yields an early anomaly detector for power systems via a mean spectral radius indicator with statistical threshold.