Sierpinski网上超Brown运动的局部灭绝性
被引量:1
摘要
研究Sierpinski网上的Brown运动与超Brown运动.证明了这种分形结构上的超Brown运动具有局部灭绝性,验证了在催化介质中这种局部灭绝性仍然成立,并证明了这种Brown运动的轨道稠密性.
出处
《中国科学(A辑)》
CSCD
1997年第12期1089-1095,共7页
Science in China(Series A)
基金
国家自然科学基金资助项目
参考文献6
-
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
同被引文献9
-
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
-
5Dawson D A, Fleischmann K. A super-Brownian motion with a single point catalyst.Stoch Proc Appl, 1994, 49: 3~40
-
6Dawson D A, Fleischmann K. Critical branching in a highly fluctuating randommedium. Probab Th Rel Fields, 1991, 90: 241~274
-
7Dawson D A, Fleischmann K. Diffusion and reaction caused by point catalysts. SIAM JAppl Math, 1992, 52: 163~180
-
8Fleischmann K, Grtner J. Occupation time processes a critical point. MathNachr, 1986, 125: 275~290
-
9Iscoe I. A weighted occupation time for a class of measure-valued branchingprocesses. Probab Th Rel Fields, 1986, 71: 85~116
-
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-
2张梅.一类带移民超Brown运动的中偏差[J].中国科学(A辑),2004,34(1):15-27.
-
3刘荣丽,任艳霞.非灭绝条件下超过程的一些性质[J].中国科学(A辑),2008,38(10):1081-1094.
-
4张梅.两类带移民超Brown运动的弱收敛[J].中国科学(A辑),2009,39(1):88-98.
-
5唐加山.双曲空间上超Brown运动的一个渐近性质[J].科学通报,1997,42(7):685-689.
-
6坚雄飞,赵学雷.超α-对称稳定过程的局部灭绝性[J].数学进展,2000,29(4):345-353. 被引量:2
-
7任艳霞,索秀云.一类非线性方程非负解的构造[J].河北师范大学学报(自然科学版),1998,22(3):300-302. 被引量:1
-
8洪文明,王梓坤.催化介质中的移民过程[J].中国科学(A辑),1999,29(12):1079-1083.
-
9李秋月,任艳霞.超Brown运动的S-极集与非线性微分方程的解[J].中国科学(A辑),2006,36(2):146-160.
-
10郭军义.带催化点的Sierpinski网上超Brown运动占位时振荡极限[J].中国科学(A辑),2000,30(2):108-115.