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Orthogonal polynomials in the normal matrix model with a cubic potential
Orthogonal polynomials the normal matrix model Classical Analysis and ODEs
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2011/7/27
Orthogonal polynomials in the normal matrix model with a cubic potential.
An inequality for the trace of matrix products, using absolute values
matrix absolute value trace inequality Holder inequality
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2011/7/27
Abstract: The absolute value of matrices is used, to give inequalities for the trace of products. An application gives a very short proof of the tracial matrix Hoelder inequality.
Propagators and Matrix Basis on Noncommutative Minkowski Space
Propagators Matrix Basis Noncommutative Minkowski Space High Energy Physics - Theory
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2011/7/29
Abstract: We describe an analytic continuation of the Euclidean Grosse-Wulkenhaar and LSZ models which defines a one-parameter family of duality covariant noncommutative field theories interpolating b...
Perturbation approach to multifractal dimensions for certain critical random matrix ensembles
multifractal dimensions Perturbation random matrix ensembles
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2011/7/6
Fractal dimensions of eigenfunctions for various critical random matrix ensembles are investigated in perturbation series in the regimes of strong and weak multifractality. In both regimes we obtain e...
Asymptotic Integral Kernel for Ensembles of Random Normal Matrix with Radial Potentials
Random normal matrices Integral kernels Steepest descents method
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2011/7/26
Asymptotic Integral Kernel for Ensembles of Random Normal Matrix with Radial Potentials.
Optical Excitation and Decay Dynamics of Ytterbium Atoms Embedded in a Solid Neon Matrix
Ytterbium Atoms Embedded Optical Excitation and Decay Dynamics
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2011/9/2
Neutral ytterbium atoms embedded in solid neon qualitatively retain the structure of free atoms. Despite the atom-solid interaction, the 6s6p 3P0 level is found to remain metastable with its lifetimes...
Accuracy of transfer matrix approaches for solving the effective mass Schr鰀inger equation
matrix approaches mass Schr鰀inger equation
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2011/9/14
2009 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for adv...
Tensorial form and matrix elements of the relativistic nuclear recoil operator
Isotope shifts, mass shift, relativistic nuclear recoil
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2011/8/31
Within the lowest-order relativistic approximation (∼ v2/c2) and to first order in me/M, the tensorial form of the relativistic corrections of the nuclear recoil Hamiltonian is derived, opening ...
The matrix Lax representation of the generalized Riemann equations and its conservation Laws
generalized Riemann equation Saxton equation Lax representation
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2011/7/5
It is shown that the generalized Riemann equation is equivalent with the
multicomponent generalization of the Hunter - Saxton equation. New matrix
and scalar Lax representation is presented for this...
Fuzzy Geometry via the Spinor Bundle, with Applications to Holographic Space-time and Matrix Theory
Fuzzy Geometry the Spinor Bundle Holographic Space-time Matrix Theory
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2011/7/27
Abstract: We present a new framework for defining fuzzy approximations to geometry in terms of a cutoff on the spectrum of the Dirac operator, and a generalization of it that we call the Dirac-Flux op...
On the Four Types of Weight Functions for Spatial Contiguity Matrix
spatial autocorrelation weight function contiguity matrix spatial weights matrix
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2011/8/29
This is a “spatial autocorrelation analysis” of spatial autocorrelation. I use the 1-dimension spatial autocorrelation function (ACF) and partial autocorrelation function (PACF) to analyze four kinds ...
The monodromy matrix in the F-basis for arbitrary six-vertex models
Six-Vertex Model F-Basis Monodromy Matrix
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2011/7/25
Abstract: We present the expressions for the monodromy matrix elements of the six-vertex model in the F-basis for arbitrary Boltzmann weights. The results rely solely on the property of unitarity and ...
Fluctuations of Matrix Entries of Regular Functions of Sample Covariance Random Matrices
Matrix Entries Sample Covariance Random Matrices Probability
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2011/7/27
Abstract: We extend the results about the fluctuations of the matrix entries of regular functions of Wigner matrices to the case of sample covariance random matrices.
Loop equations and topological recursion for the arbitrary-$β$ two-matrix model
Loop equations topological recursion two-matrix model
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2011/7/25
Abstract: We write the loop equations for the $\beta$ two-matrix model, and we propose a topological recursion algorithm to solve them, order by order in a small parameter. We find that to leading ord...
Riemann--Hilbert problems, matrix orthogonal polynomials and discrete matrix equations with singularity confinement
Riemann Hilbert matrix orthogonal polynomials discrete matrix equations singularity confinement
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2011/7/6
In this paper matrix orthogonal polynomials in the real line are described in terms of a Riemann--Hilbert problem. This approach provides an easy derivation of discrete equations for the corresponding...