Moduli of Continuity of a Class of N-parameter Gaussian Processes and Their Fast Points
Moduli of Continuity of a Class of N-parameter Gaussian Processes and Their Fast Points
摘要
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.
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.
基金
NSFC (10571159)
SRFDP (20060335032)
HDU (KYS091506042)
参考文献14
-
1Orey, S., Pruitt, W. E.: Sample functions of the N-parameter Wiener process. Ann. Probab., 1, 138-163 (1973)
-
2Khoshnevisan, D., Peres, Y., Xiao, Y.: Limsup random fractals. EI.J. Probab., 5!4), 1-24 !2000) ]
-
3Khoshnevisan, D., Shi, Z.: Fast sets and points for fractional Brownian motion. Seminaire de Probabilities, ⅩⅩⅩⅣ Berlin: Springer Lecture notes of Mathematics, 2000
-
4Lin, Z. Y., Choi, Y. K.: Some limit theorems for fractional Levy Brownian fields. Stoch. Proc. Appl., 82, 229-244 (1999)
-
5Seneta, E.: Regularly Varying Functions, Lect. Notes in Math. 508, Springer-Verlag, Berlin, 1976
-
6Dawson, D. A., Perkins, E. A.: Histical Processes, Memoirs Amer. Math. Soc., 454, 1991
-
7Deheuvels, P., Mason, D. M.: Random fractal functional laws of the iterated logarithm. Studia Sci. Math. Hungar., 34, 89-106 (1998)
-
8Ehm, W.: Sample function properties of multi-parameter stable processes. Z. Wahrsch. Verw Gebiete, 56, 195-228 (1981)
-
9Mason, D. M., Shi, Z.: Smalldeviations for some multi-parameter Guassian processes. J. Theoret. Probab., 14, 213-239 (2001)
-
10φksendal, B., Zhang, T.: Multiparameter fractional Brownian motion and quasi-linear stochastic partial differential equations. Stochastics and Stochastics Reports, 71, 141-163 (2000)
-
1刘倩,任晓花.观察法判断一元函数的一致连续性[J].重庆工商大学学报(自然科学版),2013,30(7):9-11. 被引量:2
-
2任丽丽.可导函数的一致连续性[J].张家口职业技术学院学报,2002,15(4):39-40.
-
3陆传荣.ON LOCAL CONTINUITY MODULI FOR GAUSSIAN PROCESSES[J].Acta Mathematicae Applicatae Sinica,1996,12(1):93-100.
-
4刘倩.利用小纸条巧判函数的一致连续性[J].科技创新导报,2012,9(18):214-214.
-
5林正炎.How big are the increments of 1~p-valued Gaussian processes?[J].Science China Mathematics,1997,40(4):337-349. 被引量:1
-
6LINZhengyan,CHENGZongmao.Local times of N-parameter Gaussian processes[J].Progress in Natural Science:Materials International,2005,15(2):108-114.
-
7Wen Sheng WANG,Li Xin ZHANG.Chung-type Law of the Iterated Logarithm on l^p-valued Gaussian Processes[J].Acta Mathematica Sinica,English Series,2006,22(2):551-560.
-
8Sojourns of a type of Gaussian processes above high level u[J].Chinese Science Bulletin,1998,43(13):1140-1141.
-
9王亚珍.QUANTUM GAUSSIAN PROCESSES[J].Acta Mathematicae Applicatae Sinica,1994,10(3):315-327.
-
10林正炎,程宗毛.Hausdorff dimension of set generated by exceptional oscillations of a class of N-parameter Ganssian processes[J].Applied Mathematics and Mechanics(English Edition),2007,28(2):237-245.