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The largest eigenvalue of real symmetric, Hermitian and Hermitian self-dual random matrix models with rank one external source, part I
largest eigenvalue of real symmetric Hermitian and Hermitian self-dual random matrix rank one external source
2011/2/22
We consider the limiting location and limiting distribution of the largest eigenvalue in real
symmetric (β = 1), Hermitian (β = 2), and Hermitian self-dual (β = 4) random matrix models
with rank 1 e...
Classification of self-dual codes of length 36
Classification self-dual codes of length 36
2011/2/28
A complete classification of binary self-dual codes of length 36 is given.
Almost commuting self-adjoint matrices --- the real and self-dual cases
self-adjoint matrices self-dual cases
2011/2/21
We show that a pair of almost commuting self-adjoint, symmetric ma-trices are close to commuting self-adjoint, symmetric matrices (in a uni-form way).
Classification of quaternary Hermitian self-dual codes of length 20
Classification quaternary Hermitian self-dual codes of length 20
2011/1/18
A classification of quaternary Hermitian self-dual codes of length 20 is given.Using this classification, a classification of extremal quaternary Hermitian self-dual codes of length 22 is also given.
General heavenly equation governs anti-self-dual gravity
General heavenly equation anti-self-dual gravity
2010/11/18
We show that the general heavenly equation, suggested recently by Doubrov and Ferapontov \cite{fer}, governs anti-self-dual (ASD) gravity. We derive ASD Ricci-flat vacuum metric governed by the genera...
Chebyshev Inequalities and Self-Dual Cones
Chebyshev type inequality Convex cone Dual cone LOrthoprojector
2010/1/25
The aim of this note is to give a general framework for Chebyshev inequalities and other classic inequalities. Some applications to Chebyshev inequalities are made. In addition, the relations of simil...
Canonical reduction of the self-dual Yang-Mills equations to inhomogeneous nonlinear Schrodinger equation and exact solutions
Nonlinear evolution equations Yang-Mills theory
2010/9/14
The (constrained) canonical reduction of four-dimensional self-dual Yang-Mills theory to two-dimensional inhomogeneous nonlinear Schr¨odinger equation are considered. On the other hand, other methods ...