Lauwerier吸引子结构和SBR测度

Abstract. In this paper,the Lauwerier map     

More on the existence of small quasimultiples of affine and projective planes of arbitrary order

The functions a(n) and p(n) are defined to be the smallest integer λ for which λ‐fold quasimultiples affine and projective planes of order n exist. It was shown by Jungnickel [J. Combin. Designs 3 ( 6 ), 427–432] that a(n),p(n) < n¹⁰ for sufficiently large n. In the present paper, we prove that a(n),p(n) < n³. © 2001 John Wiley & Sons, Inc. J Combin Designs 9: 182–186, 2001     

Stability of a Laser-diode-pumped Cr~(4 )∶YAG Passively Q-switched Nd~(3 )∶YAG Laser

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Completed and incompleted stochastic webs

In this paper,the completed stochastic web and incompleted stochastic web producedby the perturbed saddle separatrix net are given.The structural properties of two kinds ofweb are discussed by means of the dynamical system theory.     

The Existence of a Symmetric Transversal Design STD 7[21; 3]

In this note we construct a symmetric transversal design STD₇[21; 3]. Therefore there exists an orthogonal array OA(63, 21, 3, 2). Communicated by: J.D. Key     

The radial etching velocity for tracks in polymer film

Here we have made an attempt to describe etching along and perpendicular to the ion track axis with the many-hit response model. From experiments where sheets of Makrofol KG film were exposed to Au and Xe ions it was found that V_t/V_b depends on restricted energy loss (REL). Then, for the many-hit model the registration parameters of the detectors were found and were used for the calculation of the radial distributions of the transversal etching rate and were compared with experimental data.     

A comparison of the vectorial nonparaxial approach with Fresnel and Fraunhofer approximations

Based on the vectorial Rayleigh diffraction integrals, a nonparaxial propagation equation of vectorial plane waves diffracted at a circular aperture is derived. The nonparaxial far-field expression, Fresnel and Fraunhofer diffraction formulae are given and treated as special cases of our general expression. The theoretical formulation permits us to study and compare the transversal and axial intensity distributions of diffracted plane waves both analytically and numerically. Illustrative numerical examples are given. It is shown that the vectorial nonparaxial approach has to be used if the aperture size is comparable with or less than the wavelength, and the knowledge of both transversal and axial intensity distributions is required to provide a comprehensive comparison of the paraxial and nonparaxial results.     

完全与不完全的随机网

本文证明了鞍点连线网在小扰动下可以产生完全随机网和不完全随机网两种情况,并按照动力系统理论讨论了两类随机网的结构.     

Earthquake曲线切向量上的范数

本文研究了定义在earthquake曲线切向量上的范数，首先证明了一条earthquake曲线ht上初始切向量的范数等价于earthquake测度σ的Thurston范数．其次证明了当t→∞时，ht的切向量Vt的范数增长渐近等于O(||→||The^Ct||σ||Th)，其中C是正的万有常数，||σ||Th是σ的Thurston范数，而O所代表的常数是渐近万有的，也即当t||σ||Th充分大时它是万有的．此外，附带证明了定义在Zygmund有界函数上的两种交比范数是等价的．