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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.
Geometric quantization and the metric dependence of the self-dual field theory
Geometric quantization self-dual field theory
2010/12/24
We investigate the metric dependence of the partition function of the self-dual p-form gauge field on an arbitrary Riemannian manifold. Using geometric quantization of the space of middle-dimensional...
General heavenly equation governs anti-self-dual gravity
General heavenly equation anti-self-dual gravity
2010/12/21
We show that the general heavenly equation, suggested recently by Doubrov and Ferapontov [1], governs anti-self-dual (ASD) gravity. We derive ASD Ricci-flat vacuum metric governed by the general heave...
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...
Symmetries of Self-Dual Yang-Mills Equations Dimensionally Reduced From (2,2) Space-time
Self-Dual Yang-Mills Equations Space-time
2010/12/22
We construct infinite-dimensional symmetries of the two dimensional equation which results from the dimensional reduction of the self-duality condition in (2, 2) signature space-time. These are symme...
We construct static and time-dependent exact soliton solutions with non-trivial Hopf topological charge for a field theory in 3+1 dimensions with the target space being the two dimensional sphere S**2...
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 ...
A MODIFIED HOMOGENEOUS AND SELF-DUAL LINEAR PROGRAMMING ALGORITHM
Linear programming interior point algor
2007/12/17
In this paper,we modify the corrector step of the homogeneous and self-dual linear programming algorithm, proposed by Ye, Todd and Mizuno[1]. The duality gap is reduced by a constant fraction per iter...
Short-Time Dynamics of Random-Bond Potts Ferromagnet with
Continuous Self-Dual Quenched Disorders
short-time dynamics random-bond Potts model
Monte Carlo simulation
2007/8/15
2002Vol.37No.6pp.745-750DOI:
Short-Time Dynamics of Random-Bond Potts Ferromagnet with
Continuous Self-Dual Quenched Disorders
PAN Zheng-Quan,1 YING He-Ping,1 CHEN Me-Li,2 and
GU ...
The Double Self-Dual Gravity with Cosmological Term and Constraints Under the Double Constant Conformal
Transformation
self-dual gravity constraint equations conformal transformations
reality conditions
2007/8/15
2002Vol.37No.6pp.663-666DOI:
The Double Self-Dual Gravity with Cosmological Term and Constraints Under the Double Constant Conformal
Transformation
WU Ya-Bo1 and GUO Yong-Xin2
...
On Study of Solutions of Kac-van Moerbeke Lattice and Self-dual Network
Equations
Kac-van Moerbeke lattice self-dual network equation Riccati equation
closed form solution
2007/8/15
2006Vol.45No.1pp.36-40DOI:
On Study of Solutions of Kac-van Moerbeke Lattice and Self-dual Network
Equations
XIE Fu-Ding,1,2 JI Min,1 and GONG Ling1
1 Department of Comp...