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A new method for analyzing low density parity check (LDPC) codes and low density generator matrix (LDGM) codes under bit maximum a posteriori probability (MAP) decoding is introduced. The method is ba...
The set of world lines for the non-relativistic quartic oscillator satisfying Newton's equation of motion for all space and time in 1-1 dimensions with no constraints other than the "spring" restoring...
We present a simple algorithm to locate the onset and bifurcation points of period-n cycles of the logistic map and some related maps. For the logistic, H\'enon and cubic map, we computed the polynomi...
Abstract: We give a complete classification of the irreducible quasifinite modules for algebras of the form Vir \otimes A, where Vir is the Virasoro algebra and A is a Noetherian commutative associati...
Abstract: The pentagram map was introduced by R. Schwartz in 1992 for convex planar polygons. Recently, V. Ovsienko, R. Schwartz, and S. Tabachnikov proved Liouville integrability of the pentagram map...
For lattice formulations of the two-dimensional $\mathcal{N}=(2,2)$ Wess--Zumino (2D $\mathcal{N}=(2,2)$ WZ) model on the basis of the Nicolai map, we show that supersymmetry (SUSY) and other symmetri...
For lattice formulations of the two-dimensional $\mathcal{N}=(2,2)$ Wess--Zumino (2D $\mathcal{N}=(2,2)$ WZ) model on the basis of the Nicolai map, we show that supersymmetry (SUSY) and other symmetri...
For lattice formulations of the two-dimensional N = (2, 2) Wess–Zumino (2D N = (2, 2) WZ) model on the basis of the Nicolai map, we show that supersymmetry (SUSY) and other symmetries are restored in ...
The Electron Cloud, an undesirable physical phenomena in the accelerators, develops quickly as photons striking the vacuum chamberwall knock out electrons that are then accelerated by the beam, gain e...
We show that each positive map from B(K) to B(H) is a scalar mul-tiple of a map of the form T r − with completely positive. This is used to give necessary and sufficient conditions for maps ...
We introduce a generalized Ulam method and apply it to symplectic dynamical maps with a divided phase space. Our extensive numerical studies based on the Arnoldi method show that the Ulam approximant ...
高光谱图像得到了越来越广泛的应用,但较低的空间分辨率严重地影响着它的应用效果;其超分辨率方法受到学术界的高度重视,但一直没有得到很好的解决。为此重点研究了建立低分辨率资源图像与高分辨率目标图像之间的关系模型;引入关联感兴趣光谱端元的算子进行空间变换;应用最大后验概率(MAP)算法实现超分辨率复原。实验表明,该超分辨率方法具有超分辨率效果好、复杂度低、抗噪声性能强和保护感兴趣类别等优点。
This paper discusses the mathematical framework for designing methods of large deformation matching (LDM) for image registration in computational anatomy. After reviewing the geometrical framework of ...
Unstable periodic orbit (UPO) recently has become a keyword in analyzing complex phenomena in geophysical fluid dynamics and space physics. In this paper, sets of UPOs in low dimensional maps are theo...
In this paper, we present a rule to improve the nonlinear solution with frequency map analysis (FMA), and without frequently revisiting the optimization algorithm. Two aspects of FMA are emphasized. T...

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