Results 31 to 40 of about 329,808 (302)
Feasible Combinatorial Matrix Theory [PDF]
We show that the well-known Konig's Min-Max Theorem (KMM), a fundamental result in combinatorial matrix theory, can be proven in the first order theory $\LA$ with induction restricted to $Σ_1^B$ formulas. This is an improvement over the standard textbook proof of KMM which requires $Π_2^B$ induction, and hence does not yield feasible proofs --- while ...
Ariel Germán Fernández, Michael Soltys
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Gauge Theory and Supergravity Duality in the PP-Wave Background [PDF]
We test the matrix theory conjecture in the pp-wave by studying two-body interactions between gravitons and membranes. We compute the one-loop effective potential of matrix theory and compare it to the light cone Lagrangian of linearized supergravity. We
Lee, Hok Kong
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Random matrix theory of the isospectral twirling
We present a systematic construction of probes into the dynamics of isospectral ensembles of Hamiltonians by the notion of Isospectral twirling, expanding the scopes and methods of ref.[1].
Salvatore F. E. Oliviero, Lorenzo Leone, Francesco Caravelli, Alioscia Hamma
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Matrix theory for minimal trellises [PDF]
Trellises provide a graphical representation for the row space of a matrix. The product construction of Kschischang and Sorokine builds minimal conventional trellises from matrices in minimal span form. Koetter and Vardy showed that minimal tail-biting trellises can be obtained by applying the product construction to submatrices of a characteristic ...
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Riemann Zeros and Random Matrix Theory [PDF]
In the past dozen years random matrix theory has become a useful tool for conjecturing answers to old and important questions in number theory. It was through the Riemann zeta function that the connection with random matrix theory was first made in the ...
Snaith, Nina C
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In this work by the index of fixed point and matrix theory, we discuss the positive solutions for the system of Riemann−Liouville type fractional boundary value problems D 0 + α u ( t ) + f 1 ( t , u ( t ) , v ( t ) , w ( t )
Youzheng Ding, Jiafa Xu, Zhengqing Fu
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New Results on Negative-Indexed Pell Numbers via Matrix Methods
In this study, we investigate the Pell and Pell–Lucas numbers sequences and construct matrices whose elements are defined using negative indices of these sequences through Binet’s formula. Identities involving negative-indexed Pell and Pell–Lucas numbers
İbrahim Gökcan +2 more
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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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Superstatistics in Random Matrix Theory
Random matrix theory (RMT) provides a successful model for quantum systems, whose classical counterpart has chaotic dynamics. It is based on two assumptions: (1) matrix-element independence, and (2) base invariance.
A.Y. Abul-Magd
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