Results 11 to 20 of about 2,287,877 (286)
Moments of the Hermitian Matrix Jacobi process [PDF]
Journal of Theoretical Probability, 2017 In this paper, we compute the expectation of traces of powers of the Hermitian matrix Jacobi process for a large enough but fixed size. To proceed, we first derive the semi-group density of its eigenvalues process as a bilinear series of symmetric Jacobi
Luc Deleaval, Nizar Demni
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Painlevé kernels in Hermitian matrix models [PDF]
Constructive Approximation, 2013 After reviewing the Hermitian one-matrix model, we will give a brief introduction to the Hermitian two-matrix model and present a summary of some recent results on the asymptotic behavior of the two-matrix model with a quartic potential.
Maurice Duits
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Hermitian Matrix Diagonalization and Its Symmetry Properties [PDF]
Advances in High Energy PhysicsA Hermitian matrix can be parametrized by a set consisting of its determinant and the eigenvalues of its submatrices. We established a group of equations which connect these variables with the mixing parameters of diagonalization.
S. H. Chiu, T. K. Kuo
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Hermitian-Randić matrix and Hermitian-Randić energy of mixed graphs
Journal of Inequalities and Applications, 2017 Let M be a mixed graph and H ( M ) $H(M)$ be its Hermitian-adjacency matrix. If we add a Randić weight to every edge and arc in M, then we can get a new weighted Hermitian-adjacency matrix. What are the properties of this new matrix?
Yong Lu, Ligong Wang, Qiannan Zhou
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Honeycombs from Hermitian Matrix Pairs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Knutson and Tao's work on the Horn conjectures used combinatorial invariants called hives and honeycombs to relate spectra of sums of Hermitian matrices to Littlewood-Richardson coefficients and problems in representation theory, but these relationships ...
Glenn Appleby, Tamsen Whitehead
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Hermitian Matrix Model with Plaquette Interaction [PDF]
Nuclear Physics B, 1996 We study a hermitian $(n+1)$-matrix model with plaquette interaction, $\sum_{i=1}^n MA_iMA_i$. By means of a conformal transformation we rewrite the model as an $O(n)$ model on a random lattice with a non polynomial potential. This allows us to solve the
Ambjørn +23 more
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Hermitian vs. Anti-Hermitian 1-Matrix Models and Their Hierarchies [PDF]
Nuclear Physics B, 1991 Building on a recent work of \v C. Crnkovi\'c, M. Douglas and G. Moore, a study of multi-critical multi-cut one-matrix models and their associated $sl(2,C)$ integrable hierarchies, is further pursued.
Hollowood, Timothy +3 more
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A stronger version of matrix convexity as applied to functions of Hermitian matrices
Journal of Inequalities and Applications, 1999 A stronger version of matrix convexity, called hyperconvexity is introduced. It is shown that the function is hyperconvex on the set of Hermitian matrices and is hyperconvex on the set of positive definite Hermitian matrices. The new concept makes it
Kagan Abram, Smith Paul J
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Hermitian Hamiltonians: Matrix versus Schr${ö}$dinger's [PDF]
, 2016 We draw attention to the fact that a Hermitian matrix is always diagonalizable and has real discrete spectrum whereas the Hermitian Schr{ }dinger Hamiltonian: $H=p^2/2 +V(x)$, may not be so. For instance when $V(x)=x, x^3, -x^2$, $H$ does not have even one real discrete eigenvalue. Textbooks do not highlight this distinction. However, if $H$ has real
Zafar Ahmed +3 more
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Dynamics of a rank-one perturbation of a Hermitian matrix [PDF]
Electronic Communications in Probability, 2021 We study the eigenvalue trajectories of a time dependent matrix $ G_t = H+i t vv^*$ for $t \geq 0$, where $H$ is an $N \times N$ Hermitian random matrix and $v$ is a unit vector.
Guillaume Dubach, L'aszl'o ErdHos
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