Multifractality in space-time statistical models

M. D. Ruiz‐Medina

doi:10.1007/s00477-007-0155-9

2007-06-26

M. D. Ruiz‐Medina *

J. M. Angulo

Anh, V. V.

DOI：10.1007/s00477-007-0155-9

原文链接

原文求助

摘要

En 中文

This paper introduces two families of spacetime random models with multifractal spatial characteristics, respectively generated in continuous and discrete time, and both defined on multifractal spatial domains. The definition of the first class is given in terms of a Feller semigroup generated by a pseudodifferential operator of variable order. In the second case, the spatial process at time t + 1 is obtained by applying a variable order blurring operator to the spatial process at time t and adding the innovation given by a spatiotemporal process uncorrelated in time. Spatial multifractal properties of the two classes of space-time processes introduced are analyzed. The implementation of space-time filtering and prediction techniques is also discussed.

Keyword:

local holder exponent

multifractal spectrum

semigroup theory

spatiotemporal filtering and prediction

期刊

Stochastic Environmental Research and Risk Assessment

IF:

3.6

论文数:

3.5K

被引数:

6.9K

机构

University of Granada

学者数:

2.3W

论文数: 1.9W

被引数: 24

引用论文

Aortic Valve Replacement for Severe Aortic Stenosis Before and During the Era of Transcatheter Aortic Valve Implantation

The American Journal of Cardiology

IF0

2020-07-01

PREAI

Emmanuel Akintoye; Tomo Ando; Aubin Sandio; Oluwole Adegbala; Mohamed Salih; Josiah Zubairu; Abdullahi Oseni; Phanicharan Sistla; Musab Alqasrawi; Alexander Egbe; Amgad Mentias; Luis Afonso; Alexandros Briasoulis; Sidakpal Panaich; Milind Y. Desai

Spatio-temporal variability of solar energy across a region: A statistical modelling approach

SOLAR ENERGY

IF6.6

2001-01-01

PREAI

Glasbey, CA; Graham, R; Hunter, AGM

Economic Evaluation of Shell-and-tube Latent Heat Thermal Energy Storage for Concentrating Solar Power Applications

Energy Procedia

IF0

2015-05-01