scholarly journals On the bounded laws of iterated logarithm in Banach space

2005 ◽  
Vol 9 ◽  
pp. 19-37
Author(s):  
Dianliang Deng
Keyword(s):  
Banach Space ◽  
Iterated Logarithm ◽  
Laws Of Iterated Logarithm

scholarly journals Toward a General Law of the Iterated Logarithm in Banach Space

1993 ◽  
Vol 21 (4) ◽  
pp. 2012-2045 ◽  
Author(s):  
Uwe Einmahl
Keyword(s):  
Banach Space ◽  
General Law ◽  
Iterated Logarithm

scholarly journals Sample paths of the solution to the fractional-colored stochastic heat equation

2016 ◽  
Vol 17 (01) ◽  
pp. 1750004 ◽  
Author(s):  
Ciprian A. Tudor ◽  
Yimin Xiao
Keyword(s):  
Spatial Structure ◽  
Heat Equation ◽  
Space Variable ◽  
Stochastic Heat Equation ◽  
Moduli Of Continuity ◽  
Fractional Noise ◽  
Sample Paths ◽  
Iterated Logarithm ◽  
Path Properties ◽  
Laws Of Iterated Logarithm

Let [Formula: see text] be the solution to the linear stochastic heat equation driven by a fractional noise in time with correlated spatial structure. We study various path properties of the process [Formula: see text] with respect to the time and to the space variable, respectively. In particular, we derive exact uniform moduli of continuity and Chung-type laws of iterated logarithm.

The law of the iterated logarithm for Brownian sheets

1975 ◽  
Vol 12 (4) ◽  
pp. 840-844
Author(s):  
W. J. Park
Keyword(s):  
Banach Space ◽  
Brownian Motion ◽  
Iterated Logarithm ◽  
The Law

Strassen-type law of the iterated logarithm for Brownian sheets presented by Pyke [7] is proved by using recent results of Kuelbs and Lepage [4]: the law of the iterated logarithm for Brownian motion in a Banach space and some applications are given.

Sign in / Sign up

Export Citation Format

Share Document