带催化点的Sierpinski网上超Brown运动占位时振荡极限

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摘要研究带催化点的Sierpinski网上超Brown运动的占位时过程 .证明了这种过程不具有稳定的极限 ,而是随时间的推移呈某种周期波动 .同时也证明了其他相应过程的一个极限定理 .

作者郭军义

机构地区南开大学数学学院

出处《中国科学（A辑）》 CSCD 2000年第2期108-115,共8页 Science in China(Series A)

基金国家自然科学基金资助项目!(批准号 :1980 10 19)

关键词占位时过程催化点 Sierpinski网超布朗运动

参考文献10

1Barlow M T, Bass R F. Construction of Brownian motion on the Sierpinski carpet. AnnInst H Poincaré, 1989, 25: 225～257
2Kumagai T. Construction and some properties of a class of nonsymmetric diffusionprocesses on the Sierpinski gasket. In: Elworthy K D, Ikeda N, eds. Asymptotic Problems inProbability Theory, Stochastic Models and Diffusions on Fractals. New York: John Wiley andSons Inc, 1993. 219～247
3Lindstrφm T. Brownian Motion on Nested Fractals. Mem Am Math Soc, No 420.Providence: AMS, 1990
4Guo Junyi, Wu Rong. Super-Brownian motion on the Sierpinski gasket with pointcatalytic medium. In: Kono N, Shieh N R, eds. Trends in Probability and Related Analysis.Singapore: World Scientific, 1997. 159～164
5郭军义.Sierpinski网上超Brown运动的局部灭绝性[J].中国科学（A辑）,1997,27(12):1089-1095. 被引量：1
6Dawson D A, Fleischmann K. A super-Brownian motion with a single point catalyst.Stoch Proc Appl, 1994, 49: 3～40
7Dawson D A, Fleischmann K. Critical branching in a highly fluctuating randommedium. Probab Th Rel Fields, 1991, 90: 241～274
8Dawson D A, Fleischmann K. Diffusion and reaction caused by point catalysts. SIAM JAppl Math, 1992, 52: 163～180
9Fleischmann K, Grtner J. Occupation time processes a critical point. MathNachr, 1986, 125: 275～290
10Iscoe I. A weighted occupation time for a class of measure-valued branchingprocesses. Probab Th Rel Fields, 1986, 71: 85～116

1Takashi Kumagai. Estimates of transition densities for Brownian motion on nested fractals[J] 1993,Probability Theory and Related Fields(2):205～224
2Martin T. Barlow,Richard F. Bass. Transition densities for Brownian motion on the Sierpinski carpet[J] 1992,Probability Theory and Related Fields(3-4):307～330
3B. M. Hambly. Brownian motion on a homogeneous random fractal[J] 1992,Probability Theory and Related Fields(1):1～38
4Donald A. Dawson,Klaus Fleischmann. Critical branching in a highly fluctuating random medium[J] 1991,Probability Theory and Related Fields(2):241～274
5Martin T. Barlow,Edwin A. Perkins. Brownian motion on the Sierpinski gasket[J] 1988,Probability Theory and Related Fields(4):543～623
6D. A. Dawson. The critical measure diffusion process[J] 1977,Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete(2):125～145

中国科学（A辑）

2000年第2期

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