Results 91 to 100 of about 1,067,783 (177)
We derive the eigenstate thermalization hypothesis (ETH) from a random matrix Hamiltonian by extending the model introduced by Deutsch (1991 Phys. Rev. A 43 2046).
Charlie Nation, Diego Porras
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Replica approach in random matrix theory [PDF]
This article examines the replica method in random matrix theory (RMT), with particular emphasis on recently discovered integrability of zero-dimensional replica field theories. It first provides an overview of both fermionic and bosonic versions of the replica limit, along with its trickery, before discussing early heuristic treatments of zero ...
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Diffusion method in random matrix theory [PDF]
We introduce a simple yet powerful calculational tool useful in calculating averages of ratios and products of characteristic polynomials. The method is based on Dyson Brownian motion and Grassmann integration formula for determinants. It is intended as an alternative to other RMT techniques applicable to general gaussian measures.
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Airy Kernel with Two Sets of Parameters in Directed Percolation and Random Matrix Theory [PDF]
Alexei Borodin, Sandrine Péché
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APPLICATION OF THE RANDOM MATRIX THEORY ON THE CROSS-CORRELATION OF STOCK PRICES [PDF]
The analysis of cross-correlations is extensively applied for understanding of interconnections in stock markets. Variety of methods are used in order to search stock cross-correlations including the Random Matrix Theory (RMT), the Principal Component ...
F. Sotoude Vanoliya +1 more
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Fusion spectrum sensing algorithm based on eigenvalues
Aiming at the problem of inefficient use of spectrum resources,a fusion spectrum sensing algorithm based on eigenvalues was proposed to effectively achieve dynamic spectrum sharing.The test statistics were constructed by employing the maximum eigenvalue ...
Wenjing ZHAO, He LI, Minglu JIN
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The structure of a Lennard-Jones fluid in a slit-like pore filled with random matrix from integral equation theory and from Monte Carlo simulations [PDF]
M. Borówko +3 more
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Dyson's Brownian-motion model for random matrix theory - revisited. With an Appendix by Don Zagier [PDF]
Christopher Joyner, Uzy Smilansky
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Performance of Statistical Tests for Single-Source Detection Using Random Matrix Theory [PDF]
Paola Bianchi +3 more
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