Relative Projective and Injective Dimensions

We study the concepts of the 𝒫_C-projective and the ?_C-injective dimensions of a module in the noncommutative case, weakening the condition of C being semidualizing. We give the relations between these dimensions and the C-relative Gorenstein dimensions (G_C-projective and G_C-injective dimensions) of the module. Finally, we compare, in some circumstances, the global 𝒫_C-projective dimension of a ring and the global dimension of the endomorphisms ring of C.     

Thermodynamic Limits for Hamiltonians Defined as Pseudodifferential Operators

Abstract

If P(h) is a h-pseudodifferential operator in R ⁿ associated to an holomorphic semi-bounded symbol in some neighborhood of the real phase space, with bounded derivatives, we describe the symbol of e ^?tP(h), by inequalities where the constants depend on the bounds for the derivatives of the symbol of P(h), but not on the dimension n. Some applications to thermodynamic limits (free energy) are given.     

Quick self-interference cancellation algorithm based on dimension reduction at radio frequency domain in full duplex system

In a fu11-dup1ex transceiver，to ca1cu1ate the variab1e attenuator and phase shifter parameters of the se1f-interference（SI）cance11ation structure at the radio frequency（RF）domain was not a convex quadratic conic programming prob1em，which 1ed to a s1ow convergence speed.To so1ve the prob1em，a quick SI cance11ation a1gorithm based on dimension reduction was proposed.It transformed the estimation of the above two variab1es into that of the cross corre1ation of the received SI and the SI reference signa1s，to reduce the search dimension and iteration numbers of the optimization prob1em and improve the convergence speed of the SI cance11ation at the RF domain.By ana1ysis and simu1ation，compared to the existing adaptive SI cance11ation a1gorithms at the RF domain，the proposed a1gorithm obtains the optima1 va1ues of the variab1e attenuator and phase shifter by two iterations，and then significant1y improves the convergence speed of the SI cance11ation at the RF domain.     

Fractal Failure of Quasilocality for a Majority Rule Transformation on a Tree

We provide a transformation of the Ising model on a Cayley tree leading to non-Gibbsianness at any temperature, i.e. even within the uniqueness regime. We also introduce a new type of pathologies of renormalized Gibbs measures, called the fractal failure of quasilocality, and exhibit a concrete example.     

利用混沌随机函数进行分形图形计算机模拟

利用混沌系统产生的序列随机性非常好的特点，构造随机函数并利用随机性算法生成分形图形，程序用VC 编写完成。     

类Henon吸引子相空间演化行为研究

本文是对类Ｈｅｎｏｎ吸引子的完善，讨论了频率因子对其相空间演化的影响，在一定的频率范围内，该吸引子的混沌特性能够保持，且具有明显的分形特性，但此频带非常窄，频带外吸引子或空间发散，或对精度要求苛刻，从而无法实现稳定的混沌，然后讨论了频率和位相对类Ｈｅｎｏｎ吸引子的共同影响，对各为在相关吸引子的演化特性做了对比和总结。     

常数的隐匿与恢复的运用

为进一步阐明物理常数的隐匿与恢复方法，本文举出二个例子以作示范。     

Asymptotic hereditary asphericity of metric spaces of asymptotic dimension 1

Asymptotic hereditary asphericity (AHA) is a coarse property introduced by Januszkiewicz and ?wia?tkowski in the context of systolic complexes and groups. We show, that spaces of asymptotic dimension 1 are all AHA.     

Moduli of continuity of a class of N-parameter Gaussian processes and their fast points

We study the moduli of continuity of a class of N-parameter Gaussian processes and get some results on＇the packing dimension of the set of their fast points.     

Comparison of Picard groups in dimension 1

We compare two Picard groups in dimension 1. Our proofs are constructive and the results generalize a theorem of J. Sands [11]. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)