Published May 2006 | Version v1
Journal article

On some generalization of fractional Brownian motions

  • 1. School of Management, Tianjin University, Tianjin 300072 (China)
  • 2. Department of Applied Mathematics, Shandong University of Science and Technology, Qingdao 266510, Shandong (China)
  • 3. Institute of Mathematics, Fudan University, Shanghai 200433 (China)

Description

The multifractional Brownian motion (mBm) is a continuous Gaussian process that extends the classical fractional Brownian motion (fBm) defined by Barton and Vincent Poor [Barton RJ, Vincent Poor H. IEEE Trans Inform 1988;34(5):943] and Decreusefond and Ustuenel [Decreusefond L, Ustuenel AS. Potential Anal 1999;10:177]. In addition, an innovational representation of fBm is given

Additional details

Identifiers

DOI
10.1016/j.chaos.2005.09.004;
PII
S0960-0779(05)00834-9;

Publishing Information

Journal Title
Chaos, Solitons and Fractals
Journal Volume
28
Journal Issue
4
Journal Page Range
p. 949-957
ISSN
0960-0779

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
37067040
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BROWNIAN MOVEMENT; FRACTIONATION; GAUSSIAN PROCESSES; MATHEMATICAL LOGIC; MATHEMATICAL MODELS
Descriptors DEC
SEPARATION PROCESSES

Optional Information

Copyright
Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.