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符号空间有限型子转移混沌集的Hausdorff测度与Parry测度 总被引:1,自引:0,他引:1
设A是一个每列至少有二个元素为1的不可约0,1方阵,(∑4,σA)为由A所决定的符号空间有限型子转移.在∑A上定义一个与其拓扑相容的度量d使得(∑A,d)的Hausdorff维数为1.若G是H^-可测的σA的Li—Yorke混沌集,则H^1(C)=0;若A是本原的,则存在一个σA的有限型混沌集S使得H^1(S)=1,其中H^1为1-维的Hausdorff测度. 相似文献
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In [1 ]and [2 ]Xiongintroducedafractaltheoryintodynamicalsystemresearch ,measuredchaoticsetswiththeHausdorffdimensionandtheHausdorffmeasure .ZhouestimatedtheHausdorffmeasureoffinitetypesubsetin [3].Inthispaper ,theHausdorffmeasuretheoreticentropyofasubshiftins… 相似文献
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XIE Yuqiong & WEN Zhixiong Department of Mathematics Wuhan University of Technology Wuhan China School of Mathematics Statistics Wuhan University Wuhan China 《中国科学A辑(英文版)》2006,49(2):245-254
We consider the variants of Besicovitch-Eggleston sets in symbolic spaces, and determine their fractal dimensions. 相似文献
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杨奇祥 《数学年刊B辑(英文版)》2002,23(4)
This paper constructs several classes of new wavelet bases, which are unconditional bases for related operator spaces. Using these bases, the author analyzes non-homogeneous symbolic space OpSm1,1 and two related kernel-distribution spaces, and characterizes them in two wavelet coefficients spaces. Besides, some properties for singular integral operators are studied. 相似文献
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Huo Yun WANGD Jin Cheng XIONG 《数学学报(英文版)》2005,21(6):1407-1414
This paper deals with chaos for subshifts of finite type. We show that for any subshift of finite type determined by an irreducible and aperiodic matrix, there is a finitely chaotic set with full Hausdorff dimension. Moreover, for any subshift of finite type determined by a matrix, we point out that the cases including positive topological entropy, distributional chaos, chaos and Devaney chaos are mutually equivalent. 相似文献
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Some estimation formulae and a computation formula for the Hausdorff measure of the sets of finite type of the one-sided symbolic
space are given.
Project partially supported by the Natural Science Foundation of Guangdong Province and the Foundation of Advanced Research
of Zhongshan University. 相似文献
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GUO Kunyu 《数学年刊B辑(英文版)》2000,21(1):17-24
1.IntroductionInthepresentpaper,wewillcontinuethestudyofHilbertmodules[1-5].LetHbeaHilbertspaceandAafunctionalgebra.WesaythatHisaHilbertmoduleoverAifthereisamultiplication(a,f)-affromAxHtoH,makingHintoanXmoduleandif,inaddition,theactionisjointlycontinuousinthesup-normonAandtheHilbertspacenormonH.ThecategoryHofallHilbertNmodulesisanaturalsettingfornumerousquestionsinoperatortheory.In[9],DouglasandPaulseninitiatedasystematicstudyofHilbertmodules'theywereabletotranslatemanyconceptsandpro… 相似文献
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NEW WAVELET BASES FOR NON-HOMOGENEOUS SYMBOLIC SPACE OpS1,1^m AND RELATED KERNEL-DISTRIBUTION SPACES
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YANG Qixiang 《数学年刊B辑(英文版)》2002,23(4):551-562
This paper constructs several classes of new wavelet bases, which are unconditional bases for related operator spaces. Using these bases, the author analyzes non-homogeneous symbolic space OpSm1,1 and two related kernel-distribution spaces, and characterizes them in two wavelet coefficients spaces. Besides, some properties for singular integral operators are studied. 相似文献