SUR L'INTERPRETATION PROBABILISTE DE QUELQUES EQUATIONS AUX DERIVEES PARTIELLES NON LINEAIRES PDF Download
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Author: BENJAMIN.. JOURDAIN
Publisher:
ISBN:
Category :
Languages : fr
Pages : 128
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Book Description
LA DEMARCHE ADOPTEE DANS CE TRAVAIL DE THESE EST LA SUIVANTE. CONSIDERANT UNE EQUATION D'EVOLUTION NON LINEAIRE, NOUS CHERCHONS A LUI ASSOCIER UNE PROBABILITE P SUR UN ESPACE DE TRAJECTOIRES TELLE QUE : - OU BIEN LES MARGINALES EN TEMPS DE P POSSEDENT PAR RAPPORT A LA MESURE DE LEBESGUE EN ESPACE DES DENSITES QUI SONT SOLUTION FAIBLE DE L'EQUATION D'EVOLUTION - OU BIEN, DANS LE CAS DE LA DIMENSION UN D'ESPACE, LES FONCTIONS DE REPARTITION DES MARGINALES SONT SOLUTION FAIBLE DE L'EQUATION. UNE FOIS LA PROBABILITE P OBTENUE COMME L'UNIQUE SOLUTION D'UN PROBLEME DE MARTINGALES NON LINEAIRE, NOUS CONSTRUISONS UN SYSTEME DE N PARTICULES EN INTERACTION PROBABILISTE DONT LA MESURE EMPIRIQUE CONVERGE VERS P LORSQUE N TEND VERS L'INFINI. UN TEL RESULTAT DE CONVERGENCE, APPELE PROPAGATION DU CHAOS, PERMET D'ENVISAGER D'APPROCHER LES SOLUTIONS DE L'EQUATION D'EVOLUTION EN SIMULANT LE SYSTEME DE PARTICULES. POUR L'ESSENTIEL, NOUS TRAITONS SUIVANT CE PROGRAMME DES EQUATIONS DE TYPE PARABOLIQUE DONT L'EQUATION DE BURGERS VISQUEUSE ET CELLE DES MILIEUX POREUX. SOUS P, LE PROCESSUS CANONIQUE SUR L'ESPACE DES TRAJECTOIRES CONTINUES EST ALORS UNE DIFFUSION NON LINEAIRE. NOUS NOUS INTERESSONS AUSSI A UNE EQUATION CINETIQUE LIEE AUX LOIS DE CONSERVATION SCALAIRES ET TRAVAILLONS POUR CELA SUR UN ESPACE DE TRAJECTOIRES COMPORTANT DES SAUTS. ENFIN, NOUS MONTRONS SUR DES EXEMPLES QU'IL N'EST PAS NECESSAIRE DE SE LIMITER AU CAS NATUREL OU LA CONDITION INITIALE DE L'EQUATION D'EVOLUTION EST UNE PROBABILITE OU UNE FONCTION DE REPARTITION DE PROBABILITE. IL EST POSSIBLE D'ADAPTER LA DEMARCHE POUR PRENDRE EN COMPTE LES MESURES SIGNEES BORNEES OU LEURS FONCTIONS DE REPARTITION.
Author: BENJAMIN.. JOURDAIN
Publisher:
ISBN:
Category :
Languages : fr
Pages : 128
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Book Description
LA DEMARCHE ADOPTEE DANS CE TRAVAIL DE THESE EST LA SUIVANTE. CONSIDERANT UNE EQUATION D'EVOLUTION NON LINEAIRE, NOUS CHERCHONS A LUI ASSOCIER UNE PROBABILITE P SUR UN ESPACE DE TRAJECTOIRES TELLE QUE : - OU BIEN LES MARGINALES EN TEMPS DE P POSSEDENT PAR RAPPORT A LA MESURE DE LEBESGUE EN ESPACE DES DENSITES QUI SONT SOLUTION FAIBLE DE L'EQUATION D'EVOLUTION - OU BIEN, DANS LE CAS DE LA DIMENSION UN D'ESPACE, LES FONCTIONS DE REPARTITION DES MARGINALES SONT SOLUTION FAIBLE DE L'EQUATION. UNE FOIS LA PROBABILITE P OBTENUE COMME L'UNIQUE SOLUTION D'UN PROBLEME DE MARTINGALES NON LINEAIRE, NOUS CONSTRUISONS UN SYSTEME DE N PARTICULES EN INTERACTION PROBABILISTE DONT LA MESURE EMPIRIQUE CONVERGE VERS P LORSQUE N TEND VERS L'INFINI. UN TEL RESULTAT DE CONVERGENCE, APPELE PROPAGATION DU CHAOS, PERMET D'ENVISAGER D'APPROCHER LES SOLUTIONS DE L'EQUATION D'EVOLUTION EN SIMULANT LE SYSTEME DE PARTICULES. POUR L'ESSENTIEL, NOUS TRAITONS SUIVANT CE PROGRAMME DES EQUATIONS DE TYPE PARABOLIQUE DONT L'EQUATION DE BURGERS VISQUEUSE ET CELLE DES MILIEUX POREUX. SOUS P, LE PROCESSUS CANONIQUE SUR L'ESPACE DES TRAJECTOIRES CONTINUES EST ALORS UNE DIFFUSION NON LINEAIRE. NOUS NOUS INTERESSONS AUSSI A UNE EQUATION CINETIQUE LIEE AUX LOIS DE CONSERVATION SCALAIRES ET TRAVAILLONS POUR CELA SUR UN ESPACE DE TRAJECTOIRES COMPORTANT DES SAUTS. ENFIN, NOUS MONTRONS SUR DES EXEMPLES QU'IL N'EST PAS NECESSAIRE DE SE LIMITER AU CAS NATUREL OU LA CONDITION INITIALE DE L'EQUATION D'EVOLUTION EST UNE PROBABILITE OU UNE FONCTION DE REPARTITION DE PROBABILITE. IL EST POSSIBLE D'ADAPTER LA DEMARCHE POUR PRENDRE EN COMPTE LES MESURES SIGNEES BORNEES OU LEURS FONCTIONS DE REPARTITION.
Author: Claude Cohen-Tannoudji
Publisher: John Wiley & Sons
ISBN: 3527345558
Category : Science
Languages : en
Pages : 790
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Book Description
This new, third volume of Cohen-Tannoudji's groundbreaking textbook covers advanced topics of quantum mechanics such as uncorrelated and correlated identical particles, the quantum theory of the electromagnetic field, absorption, emission and scattering of photons by atoms, and quantum entanglement. Written in a didactically unrivalled manner, the textbook explains the fundamental concepts in seven chapters which are elaborated in accompanying complements that provide more detailed discussions, examples and applications. * Completing the success story: the third and final volume of the quantum mechanics textbook written by 1997 Nobel laureate Claude Cohen-Tannoudji and his colleagues Bernard Diu and Franck Laloë * As easily comprehensible as possible: all steps of the physical background and its mathematical representation are spelled out explicitly * Comprehensive: in addition to the fundamentals themselves, the books comes with a wealth of elaborately explained examples and applications Claude Cohen-Tannoudji was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris where he also studied and received his PhD in 1962. In 1973 he became Professor of atomic and molecular physics at the Collège des France. His main research interests were optical pumping, quantum optics and atom-photon interactions. In 1997, Claude Cohen-Tannoudji, together with Steven Chu and William D. Phillips, was awarded the Nobel Prize in Physics for his research on laser cooling and trapping of neutral atoms. Bernard Diu was Professor at the Denis Diderot University (Paris VII). He was engaged in research at the Laboratory of Theoretical Physics and High Energy where his focus was on strong interactions physics and statistical mechanics. Franck Laloë was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris. His first assignment was with the University of Paris VI before he was appointed to the CNRS, the French National Research Center. His research was focused on optical pumping, statistical mechanics of quantum gases, musical acoustics and the foundations of quantum mechanics.
Author: Cdric Villani
Publisher: American Mathematical Soc.
ISBN: 0821844989
Category : Mathematics
Languages : en
Pages : 154
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Book Description
This memoir attempts at a systematic study of convergence to stationary state for certain classes of degenerate diffusive equations, taking the general form ${\frac{\partial f}{\partial t}}+ L f =0$. The question is whether and how one can overcome the degeneracy by exploiting commutators.
Author: Yury A. Kutoyants
Publisher: Springer Science & Business Media
ISBN: 144713866X
Category : Mathematics
Languages : en
Pages : 493
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Book Description
The first book in inference for stochastic processes from a statistical, rather than a probabilistic, perspective. It provides a systematic exposition of theoretical results from over ten years of mathematical literature and presents, for the first time in book form, many new techniques and approaches.
Author: Anastasios Tsiatis
Publisher: Springer Science & Business Media
ISBN: 0387373454
Category : Mathematics
Languages : en
Pages : 392
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Book Description
This book summarizes current knowledge regarding the theory of estimation for semiparametric models with missing data, in an organized and comprehensive manner. It starts with the study of semiparametric methods when there are no missing data. The description of the theory of estimation for semiparametric models is both rigorous and intuitive, relying on geometric ideas to reinforce the intuition and understanding of the theory. These methods are then applied to problems with missing, censored, and coarsened data with the goal of deriving estimators that are as robust and efficient as possible.
Author: Tiina Santonen
Publisher: World Health Organization
ISBN: 9241530766
Category : Business & Economics
Languages : en
Pages : 101
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Book Description
This document on inorganic chromium (III) compounds provides summaries of the relevant scientific information concerning the potential effects of these chemicals upon human health and/or the environment. Chemical safety cards on the most common inorganic trivalent chromium compounds are reproduced in this document.
Author: Neural Information Processing Systems Foundation
Publisher: MIT Press
ISBN: 0262026171
Category : Algorithms
Languages : en
Pages : 361
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Book Description
State-of-the-art algorithms and theory in a novel domain of machine learning, prediction when the output has structure.
Author: H. R. Sasse
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 792
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Book Description
Preface Adhesion is a phenomenon architects and civil engineers are not very familiar with. In other disciplines knowledge about surface properties and the background of bonding energies is also far from satisfactory; nevertheless there are many important· applications in concrete engineering, where adhesion is necessary for success and durability. These include: - coating and painting - repair of concrete surfaces - bonding of fresh to old concrete - crack injection - glueing of precast elements - glueing of steel to concrete, etc. In 1981 RILEM established the technical committee 52-RAC 'Resin Adherence to Concrete'. The main aims of the committee's work were - to collect research results and practical experiences - to initiate and coordinate research programs - to develop, on a scientific base, test methods for field and for laboratory purposes. One of the results of the committee's work is a state-of-the-art report, which will be presented orally as a General Report at the International Symposium ISAP '86, and will be printed either in the RILEM journal Materials and Structures or separately. Several test recommendations have been elaborated and will be prepared as drafts for the participants ofISAP '86. These are: - direct tensile test - pull-off test - direct shear test - slant shear test - four-point bending test - dynamic loading test - thermal compatibility test (two versions) - injectibility test.
Author: Nils Braun-Dubler
Publisher: vdf Hochschulverlag AG
ISBN: 3728140163
Category : Technology & Engineering
Languages : en
Pages : 384
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Book Description
Blockchain is widely considered a new key technology. The Foundation for Technology Assessment (TA-SWISS) has proposed a comprehensive assessment of blockchain technologies. With this publication, TA-SWISS provides the much-needed social contextualisation of blockchain. The first, more technical part of the study takes an in-depth look at how blockchain functions and examines the economic potential of this technology. By analysing multiple real-world applications, the study sheds light on where the blockchain has advantages over traditional applications and where existing technologies continue to be the better solution. The second part of the study examines how blockchain became mainstream. It explores the origins of blockchain in the early history of information technology and computer networks. The study also reveals the impact blockchain has on industrial and public spaces. Finally, it discusses the social implications and challenges of blockchain against the background of a new socio-technical environment.
Author: Aileen Nielsen
Publisher: O'Reilly Media
ISBN: 1492041629
Category : Computers
Languages : en
Pages : 500
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Book Description
Time series data analysis is increasingly important due to the massive production of such data through the internet of things, the digitalization of healthcare, and the rise of smart cities. As continuous monitoring and data collection become more common, the need for competent time series analysis with both statistical and machine learning techniques will increase. Covering innovations in time series data analysis and use cases from the real world, this practical guide will help you solve the most common data engineering and analysis challengesin time series, using both traditional statistical and modern machine learning techniques. Author Aileen Nielsen offers an accessible, well-rounded introduction to time series in both R and Python that will have data scientists, software engineers, and researchers up and running quickly. You’ll get the guidance you need to confidently: Find and wrangle time series data Undertake exploratory time series data analysis Store temporal data Simulate time series data Generate and select features for a time series Measure error Forecast and classify time series with machine or deep learning Evaluate accuracy and performance
