Ressource en auto-formation : MultiScale Analysis: Fractal (An Introduction to Complex Systems in Environment)

In meteorology, oceanology, climatology, hydrology and more generally in geophysics, the researches (turbulence, chaos, global climate evolution understanding, tectonic, seismology...), in studies (strategies definition of sampling for the next generation satellite, estimation of extreme fluctuation...
cours / présentation, exercice - Création : 14-04-2017
Par : Yacine MEZEMATE, Daniel SCHERTZER
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Présentation de: MultiScale Analysis: Fractal (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

In meteorology, oceanology, climatology, hydrology and more generally in geophysics, the researches (turbulence, chaos, global climate evolution understanding, tectonic, seismology...), in studies (strategies definition of sampling for the next generation satellite, estimation of extreme fluctuations of fields, cyclones trajectory or pollutants...), faced by a fundamental difficulty : the extreme variability at large scale range in time and space of the measured fields. This variability coming from the non linear interaction not only at different scale but also between different processes. In order to face on this difficulty, without using artifacts, it has been necessary to develop a specific tools, concepts and technical, to achieve both simple theoretical representations and quantitative assessment of this variability which can be repeated in a simple manner at different scales. These tools have been developed either from the analysis of symmetries of evolution equations when these are known, or on simple phenomenological considerations (self-similar models cascade) or even just empirical (spectra, structure functions...). These approaches have led to develop and renew the concepts of scale invariance or fractals, and releasing from the nonlinear variability a unifying issue geophysics. Module 6 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: Fractal (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

Cette ressource en auto-formation vous est proposée par :
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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-1-7145
  • Identifiant OAI-PMH
    oai:www.unit.eu:unit-ori-wf-1-7145
  • Schéma de la métadonnée
  • Entrepôt d'origine
    UNIT
  • Publication
    14-04-2017

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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
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An Introduction to Complex Systems in Environment
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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 ...