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The Pressure in Operator Algebras

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Acta Mathematica Sinica,English Series 2008年第6期24卷 983-996页

作者： Cheng jun hou Department of Mathematics Qufu Normal University Qufu 273165 P. R. China

We introduce two notions of the pressure in operator algebras, one is the pressure Pα（π, T） for an automorphism α of a unital exact C^＊-algebra A at a self-adjoint element T in A with respect to a faithful unital ＊-representation π the other is the pressure Pτ,α（T） for an automorphism α of a hyperfinite von Neumann algebra M at a self-adjoint element T in M with respect to a faithful normal α-invariant state τ. We give some properties of the pressure, show that it is a conjugate invaxiant, and also prove that the pressure of the implementing inner automorphism of a crossed product A×α Z at a self-adjoint operator T in A equals that of α at T.

关键词： exact C^*-algebra hyperfinite von Neumann algebra entropy pressure crossed product

Degradation of 2,4-dichlorophenoxyacetic acid in water by ozonehydrogen peroxide process

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Journal of Environmental Sciences 2006年第6期18卷 1043-1049页

作者： YU Ying-hui MA jun hou Yan-jun School of Municipal and Environmental Engineering Harbin Institute of Technology P.O. Box 2627 Harbin 150090 China

This study reports an investigation into the degradation of 2,4-dichlorophenoxyacetic acid in bubble contactor column by O2/H2O2 process, which is widely used as a principal advanced oxidation process. The degradation of 2,4-dichlorophenoxyacetic acid was studied under different H202/O3 molar ratio and pH value. Meanwhile, TOC removal was investigated both in distilled water and tap water. The influences of ozone transfer and consumed hydrogen peroxide were also discussed. The degradation products and oxidation intermediates were identified by GC-MS and LC-MS. A possible reaction mechanism was thus proposed.

关键词： 2,4-dichlorophenoxyacetic acid ozone hydrogen peroxide advanced oxidation process

Continuous Orbit Equivalence of Semigroup Actions

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Acta Mathematica Sinica,English Series 2024年第6期40卷 1581-1598页

作者： Xiang Qi QIANG Cheng jun hou School of Mathematical Science Yangzhou UniversityYangzhou 225002P.R.China

We introduce notions of continuous orbit equivalence and its one-sided version for countable left Ore semigroup actions on compact spaces by surjective local homeomorphisms,and characterize them in terms of the corresponding transformation groupoids and their operator *** particular,we show that two essentially free semigroup actions on totally disconnected compact spaces are continuously orbit equivalent if and only if there is a canonical abelian subalgebra preserving C^(∗)-isomorphism between the associated transformation groupoid C^(∗)-*** also give some examples of orbit equivalence,consider the special case of semigroup actions by homeomorphisms and relate continuous orbit equivalence of semigroup actions to that of the associated group actions.

关键词： Semigroup action continuous one-sided orbit equivalence continuous orbit equivalence groupoid C^(∗)-algebras

SOLUTION OF A KIND OF LINEAR INTERNAL WAVE EQUATION

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Journal of Hydrodynamics 2005年第5期17卷 636-640页

作者： WANG Gang hou Yi-jun ZHENG Quan-an Institute of Oceanology Chinese Academy of Sciences Qingdao 266071 China Graduate School of the Chinese Academy of Sciences Beijing 100039 China Department of Meteorology University of Maryland Maryland 20742-2425 USA

Considering the effect of horizontal Coriolis parameter and the density compactness of seawater, which were often neglected in internal waves discussion, the governing equation of linear internal waves presented by vertical velocity only will be proposed. Under the assumption that the Brunt- Vaeisaelae frequency is exponential, an accurate analytic solution of it is obtained. Finally, the expressions of wave functions are also given.

关键词： internal wave Boussinesq approximation,Coriolis parameter Brunt-Vaeisaelae frequency

Mean shift based log-Gabor wavelet image coding

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2007年第4期8卷 620-624页

作者： LI Ji-liang FANG Xiang-zhong hou jun Institute of Image Communication and Information Processing Shanghai Jiao Tong University Shanghai 200240 China

In this paper, we propose a sparse overcomplete image approximation method based on the ideas of overcomplete log-Gabor wavelet, mean shift and energy concentration. The proposed approximation method selects the necessary wavelet coefficients with a mean shift based algorithm, and concentrates energy on the selected coefficients. It can sparsely approximate the original image, and converges faster than the existing local competition based method. Then, we propose a new compression scheme based on the above approximation method. The scheme has compression performance similar to JPEG 2000. The images decoded with the proposed compression scheme appear more pleasant to the human eyes than those with JPEG 2000.

关键词： Sparse approximation Log-Gabor Image coding Mean shift Overcomolete

Performance Analysis in SWIPT-Based Bidirectional D2D Communications in Cellular Networks

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China Communications 2023年第12期20卷 41-51页

作者： Yang Zhang Wei Wang Xiangmo Zhao jun hou School of Information Engineering Chang’an UniversityXi’an 710064China

In this paper,a novel traffic-aware cooperative cognitive radio network that can enable deviceto-device(D2D)communications in cellular system is proposed and *** providing relay cooperation to cellular transmission,D2D users can realize their own two-way communication in the licensed *** most existing works,in the proposed network,both wireless-powered D2D users can harvest energy via radio-frequency signals received from basic station(BS)through a hybrid protocol which can adaptively utilize both time-switching and powersplitting ***,D2D users perform decode-and-forward operation to transmit signals,and mobile user(MU)employs a selection combining *** addition,the performance of both D2D system and cellular system in the proposed network is evaluated by deriving the expressions of their exact outage probability and *** and simulation results validate correctness of derivations and reveal the influence of various system parameters of the proposed network.

关键词： D2D communication outage probability SWIPT

Degradation of benzophenone in aqueous solution by Mn-Fe-K modified ceramic honeycomb-catalyzed ozonation

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Journal of Environmental Sciences 2006年第6期18卷 1065-1072页

作者： hou Yan-jun MA jun SUN Zhi-zhong YU Ying-hui ZHAO Lei School of Municipal and Environmental Engineering Harbin Institute of Technology Harbin 150090 China

Comparative studies of ozonation alone, ceramic honeycomb-catalyzed and Mn-Fe-K modified ceramic honeycomb catalyzed ozonation processes have been undertaken with benzophenone as the model organic pollutant. The experimental results showed that the presence of Mn-Fe-K modified ceramic honeycombs significantly increased the removal rate of benzophenone and TOC compared with that achieved by ozonation alone or ceramic honeycomb-catalyzed ozonation. The electron paramagnetic resonance （EPR） experiments verified that higher benzophenone removal rate was attribute to more hydroxyl radicals generated in the Mn-Fe-K modified ceramic honeycomb-catalyzed ozonation. Under the conditions of this experiment, the degradation rate of all the three ozonation processes are increasing with the amount of catalyst, temperature and value of pH increased in the solution. We also investigated the effects of different process of ozone addition, the optimum conditions for preparing catalyst and influence of the Mn-Fe-K modified ceramic honeycomb after multiple-repeated use.

关键词： catalytic ozonation Mn-Fe-K modified ceramic honeycomb benzophenone

Robust analysis of discounted Markov decision processes with uncertain transition probabilities

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Applied Mathematics(A Journal of Chinese Universities) 2020年第4期35卷 417-436页

作者： LOU Zhen-kai hou Fu-jun LOU Xu-ming School of Management and Economics Beijing Institute of TechnologyBeijing 100081China School of Economics and Management Xi’an University of Posts and TelecommunicationsXi’an 710121China

Optimal policies in Markov decision problems may be quite sensitive with regard to transition *** practice,some transition probabilities may be *** goals of the present study are to find the robust range for a certain optimal policy and to obtain value intervals of exact transition *** research yields powerful contributions for Markov decision processes(MDPs)with uncertain transition *** first propose a method for estimating unknown transition probabilities based on maximum *** the estimation may be far from accurate,and the highest expected total reward of the MDP may be sensitive to these transition probabilities,we analyze the robustness of an optimal policy and propose an approach for robust *** giving the definition of a robust optimal policy with uncertain transition probabilities represented as sets of numbers,we formulate a model to obtain the optimal ***,we define the value intervals of the exact transition probabilities and construct models to determine the lower and upper *** examples are given to show the practicability of our methods.

关键词： Markov decision processes uncertain transition probabilities robustness and sensitivity robust optimal policy value interval

刚构体系斜拉桥塔柱计算长度系数求解方法研究

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