Ressource en auto-formation : Multiscale Analysis: Methods of Analysis (An Introduction to Complex Systems in Environment)

We gave in the courses Multifractal the meaning of the universal multifractal (UM) parameters and , in this courses we will introduce some techniques of estimation of UM parameters based on the scale invariance property of geophysical fields. The first method is the Trace Moment (TM) method which us...
cours / présentation, exercice - Création : 14-04-2017
Par : Yacine MEZEMATE, Daniel SCHERTZER
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Présentation de: Multiscale Analysis: Methods of Analysis (An Introduction to Complex Systems in Environment)

Informations pratiques sur cette ressource

Langue du document : Français
Type : cours / présentation, exercice
Niveau : enseignement supérieur, bac+3
Langues : Français
Contenu : texte, image, ressource interactive
Public(s) cible(s) : enseignant, apprenant, gestionnaire
Document : Document HTML
Droits d'auteur : pas libre de droits, gratuit
Cet ensemble de supports pédagogiques est la propriété, à parts égales, d’UNIT et de l'École des Ponts ParisTech. Il est régi par la licence logicielle GPL, dans sa version française CeCILL (http://www.cecill.info/licences/Licence_CeCILL-V1_VF.pdf).

Description de la ressource en auto-formation

Résumé

We gave in the courses Multifractal the meaning of the universal multifractal (UM) parameters and , in this courses we will introduce some techniques of estimation of UM parameters based on the scale invariance property of geophysical fields. The first method is the Trace Moment (TM) method which uses the allows to estimate the statistical moment function in the first step and after that to estimate the UM parameters either by the geometrical characteristic of the function or by its mathematical proprieties. The second method, called the Double Trace Moment which is a generalization of the TM method will be introduced and some of its characteristics will be highlighted. We introduce also the Structure Function Analysis which allows us to study the statistics of a non conservative field and estimate the different scaling exponent. In this courses we will also introduce the Empirical Modal Decomposition in order to separate the effects of large scale on the smallest one, which can affect the estimation of the UM parameters. Module 8 of the course set "An Introduction to Complex Systems in Environment"

  • Granularité : module
  • Structure : linéaire

"Domaine(s)" et indice(s) Dewey

  • Techniques sanitaires et urbaines : approvisionnement en eau (628.1)
  • Contrôle de la pollution et techniques d'hygiène industrielle : sites pollués, sols, air (628.5)
  • Déchets, pollutions, polluants, bruit (363.7)

Domaine(s)

Informations techniques sur cette ressource en auto-formation

  • Niveau d'interactivité du document : medium

Intervenants, édition et diffusion

Édition

  • Ecole des Ponts ParisTech
  • UNIT

Diffusion

Document(s) annexe(s) - Multiscale Analysis: Methods of Analysis (An Introduction to Complex Systems in Environment)

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AUTEUR(S)

  • Yacine MEZEMATE
    Ecole des Ponts ParisTech
  • Daniel SCHERTZER
    Ecole des Ponts ParisTech

DIFFUSION

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ÉDITION

Ecole des Ponts ParisTech

UNIT

EN SAVOIR PLUS

  • Identifiant de la fiche
    http://ori.unit-c.fr/uid/unit-ori-wf-1-7149
  • Identifiant OAI-PMH
    oai:www.unit.eu:unit-ori-wf-1-7149
  • Schéma de la métadonnée
  • Entrepôt d'origine
    UNIT
  • Publication
    14-04-2017

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Présentation de la ressource en auto-formation MultiScale Analysis :Multifractal (An Introduction to Complex Systems in Environment) cours / présentation, exercice
14/04/2017
MultiScale Analysis :Multifractal (An Introduction to Complex Systems in Environment)
Auteur(s) : MEZEMATE Yacine, SCHERTZER Daniel
Description : The multifractal analysis is an appropriate framework for addressing and modelling fields with high spatial and temporal variability, particularly with regard to the characteristics of non-uniformity of the phenomena and their extreme behavior. Therefore, the idea of applying this concepts to the ...
Présentation de la ressource en auto-formation An Introduction to Complex Systems in Environment cours / présentation, exercice
14/04/2017
An Introduction to Complex Systems in Environment
Auteur(s) : MEZEMATE Yacine, SCHERTZER Daniel
Description : The environment is a social issue that continues to grow in importance. Its complexity, both cross-disciplinary and multi-scale, has given rise to a large number of scientific and technological locks, that can be solved using a complex systems approaches. Through this courses we will give some e ...