Moments of the transmission eigenvalues, proper delay times, and random matrix theory. I
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Publication:2851729
DOI10.1063/1.3644378zbMath1272.81082arXiv1103.6203OpenAlexW2085777776MaRDI QIDQ2851729
Francesco Mezzadri, Nicholas J. Simm
Publication date: 2 October 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.6203
Quantum chaos (81Q50) Statistical mechanics of semiconductors (82D37) Quantum dots, waveguides, ratchets, etc. (81Q37)
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Cites Work
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- Asymptotics of Selberg-like integrals by lattice path counting
- A recursion formula for the moments of the Gaussian orthogonal ensemble
- Duality in random matrix ensembles for all \(\beta \)
- Random matrix ensembles associated to compact symmetric spaces
- Random matrices with complex Gaussian entries
- Classical skew orthogonal polynomials and random matrices
- Correlation functions, cluster functions, and spacing distributions for random matrices
- On the relation between orthogonal, symplectic and unitary matrix ensembles
- The Euler characteristic of the moduli space of curves
- Toda versus Pfaff lattice and related polynomials.
- A random matrix decimation procedure relating \(\beta = 2/( r + 1)\) to \(\beta = 2( r + 1)\)
- Correlations between eigenvalues of a random matrix
- Transport moments beyond the leading order
- Skew-orthogonal polynomials and random-matrix ensembles
- Statistics of thermal to shot noise crossover in chaotic cavities
- Moments of the Wigner delay times
- Full counting statistics of chaotic cavities from classical action correlations
- On the Limiting Empirical Distribution Function of the Eigenvalues of a Multivariate F Matrix
- Maps in Locally Orientable Surfaces and Integrals Over Real Symmetric Surfaces
- Asymptotics of Selberg-like integrals: The unitary case and Newton's interpolation formula
- Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems
- Riemannian symmetric superspaces and their origin in random-matrix theory
- The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics
- Moments of Wishart-Laguerre and Jacobi ensembles of random matrices: application to the quantum transport problem in chaotic cavities
- Quantum conductance problems and the Jacobi ensemble
- DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES
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