Positive Transfer Operators and Decay of Correlations

Author: Viviane Baladi
Publisher: World Scientific
ISBN: 9814496669
Category: Science
Page: 324
View: 7661

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Although individual orbits of chaotic dynamical systems are by definition unpredictable, the average behavior of typical trajectories can often be given a precise statistical description. Indeed, there often exist ergodic invariant measures with special additional features. For a given invariant measure, and a class of observables, the correlation functions tell whether (and how fast) the system “mixes”, i.e. “forgets” its initial conditions. This book, addressed to mathematicians and mathematical (or mathematically inclined) physicists, shows how the powerful technology of transfer operators, imported from statistical physics, has been used recently to construct relevant invariant measures, and to study the speed of decay of their correlation functions, for many chaotic systems. Links with dynamical zeta functions are explained. The book is intended for graduate students or researchers entering the field, and the technical prerequisites have been kept to a minimum. Contents:Subshifts of Finite Type: A Key Symbolic ModelSmooth Uniformly Expanding DynamicsPiecewise Expanding SystemsHyperbolic Systems Readership: Physicists, mathematicians, interdisciplinary scientists and social scientists. Keywords:Transfer Operator;Spectrum;Thermodynamic Formalism;Correlation Function;Mixing;Dynamical System;Chaos;Equilibrium State;Spectral Gap;Perron Frobenius OperatorReviews: “The book can be used both as a textbook for beginners and as a reference book for workers in the field … the proofs are given in full, allowing a detailed study of the techniques and making the book nicely self-contained.” Mathematical Reviews

Intermittierendes deterministisches Chaos als mögliche Erklärung für ein langes Gedächtnis in Finanzmarktdaten

Author: Karsten Webel
Publisher: Springer-Verlag
ISBN: 3834989088
Category: Business & Economics
Page: 103
View: 7120

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Karsten Webel liefert einen Überblick über die in der Ökonometrie etablierten Erklärungsansätze für ein langes Gedächtnis und weist erstmals nach, dass auch ein Prozess, der in diesen Gebiet nahezu unbekannt ist, unter bestimmten Bedingungen ein langes Gedächtnis erzeugen kann.

Modeling, Dynamics, Optimization and Bioeconomics I

Contributions from ICMOD 2010 and the 5th Bioeconomy Conference 2012
Author: Alberto Adrego Pinto,David Zilberman
Publisher: Springer
ISBN: 331904849X
Category: Mathematics
Page: 753
View: 1433

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This volume explores the emerging and current, cutting-edge theories and methods of modeling, optimization, dynamics and bio economy. It provides an overview of the main issues, results and open questions in these fields as well as covers applications to biology, economy, energy, industry, physics, psychology and finance. The majority of the contributed papers for this volume come from the participants of the International Conference on Modeling, Optimization and Dynamics (ICMOD 2010), a satellite conference of EURO XXIV Lisbon 2010, which took place at Faculty of Sciences of University of Porto, Portugal and from the Berkeley Bio economy Conference 2012, at the University of California, Berkeley, USA.

Contributions of Mexican Mathematicians Abroad in Pure and Applied Mathematics

Author: Juan Carlos Pardo Millán,Pedro Solórzano
Publisher: American Mathematical Soc.
ISBN: 1470442868
Category: Mathematicians
Page: N.A
View: 9681

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This volume contains the proceedings of the Second Workshop of Mexican Mathematicians Abroad (II Reunión de Matemáticos Mexicanos en el Mundo), held from December 15–19, 2014, at Centro de Investigación en Matemáticas (CIMAT) in Guanajuato, Mexico. This meeting was the second in a series of ongoing biannual meetings aimed at showcasing the research of Mexican mathematicians based outside of Mexico. The book features articles drawn from eight broad research areas: algebra, analysis, applied mathematics, combinatorics, dynamical systems, geometry, probability theory, and topology. Their topics range from novel applications of non-commutative probability to graph theory, to interactions between dynamical systems and geophysical flows. Several articles survey the fields and problems on which the authors work, highlighting research lines currently underrepresented in Mexico. The research-oriented articles provide either alternative approaches to well-known problems or new advances in active research fields. The wide selection of topics makes the book accessible to advanced graduate students and researchers in mathematics from different fields.

Harmonic Analysis and Rational Approximation

Their Rôles in Signals, Control and Dynamical Systems
Author: Jean-Daniel Fournier
Publisher: Springer Verlag
ISBN: 9783540309222
Category: Science
Page: 311
View: 4239

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Research in Interactive Design presents an in-depth study of new product design methods. Interactive design is an original structured design approach that has recently emerged from transversal research. On the research side, the topic of interactive design is the fruitful result of sophisticated joint studies combining specific numerical engineering theories, original development in design science and industrial engineering, new discoveries in mechatronics and advanced mechanical engineering methods. Additionally, industry benefits from interactive design instruments. Interactive design is a constructive approach that tends to ensure innovation by improving user-integration in the design process, fostering the development of virtual prototypes and providing new powerful ways for collaborative design activities. Interactive design instruments are seen as the extension of traditional CAD tools. This book provides an accurate overview of the recent research or industrial application in interactive design. The different arguments, taken from the international conference Virtual Concept 2005, will provide the reader with some advanced solutions concerning new methods and tools by discussing: - modelling techniques: new techniques ensuring the development of high qualified, updated and reduced models being able to represent the behaviour of a process or a product in its environment; - design solution space exploration: specific instruments dedicated to the identification of suitable design solutions and their virtual representation allowing engineers to have interaction with the virtual worlds; - interactive process organization: studies highlighting the basic evolutions of a process integrating new instruments of interactive design. Each subsequent part of the book addresses both advanced techniques and industrial applications of the latest successful research in interactive design. The solutions presented are enhanced by demonstration

Journal of Physics

Mathematical and general
Author: Institute of Physics (Great Britain)
Publisher: N.A
Category: Mathematical physics
Page: N.A
View: 2168

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European Congress of Mathematics, Barcelona, July 10-14, 2000

Vol. 1
Author: Spain) European Congress of Mathematics 2000 (Barcelona
Publisher: Springer Science & Business Media
ISBN: 9783764364175
Category: Mathematics
Page: 582
View: 6341

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The Third European Congress of Mathematics (3ecm) took place from July 10th to July 14th, 2000 in Barcelona. It was organised by the Societat Catalana de Matematiques (Catalan Mathematical Society), under the auspices of the Euro­ pean Mathematical Society (EMS). As foreseen by the EMS and the International Mathematical Union, this Congress was a major event in World Mathematical Year 2000. In addition to reviewing outstanding research achievements, important aspects of the life of European mathematics were discussed. Mathematics is undergoing a period of rapid changes. Effective computation and applications in science and technology go ever more hand in hand with con­ ceptual developments. It was one of the aims of 3ecm to reflect this mutual enrich­ ment, while steering present and future trends of mathematical sciences. In fact, the motto of the Congress, Shaping the 21st Century, was meant to capture these views. Nearly 1400 people from 87 countries gathered together in the Palau de Con­ gressos of Barcelona in order to take part in the activities of the 3ecm scientific programme: Nine plenary lectures, thirty invited lectures in parallel sessions, lec­ tures given by EMS prize winners, ten mini-symposia on special topics, seven round tables, poster sessions, presentations of mathematical software and video exhibitions. Twenty events were satellites of 3ecm in various countries.

Tod und Leben großer amerikanischer Städte

Author: Jane Jacobs
Publisher: Birkhäuser
ISBN: 3035602123
Category: Architecture
Page: 220
View: 5721

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In The Death and Life of Great American Cities durchleuchtet Jane Jacobs 1961 die fragwürdigen Methoden der Stadtplanung und Stadtsanierung in Amerika, der "New Yorker" nannte es das unkonventionellste und provozierendste Buch über Städtebau seit langem. Die deutsche Ausgabe wurde schnell auch im deutschsprachigem Raum zu einer viel gelesenen und diskutierten Lektüre. Sie ist jetzt wieder in einem Nachdruck zugänglich, mit einem Vorwort von Gerd Albers (1993), das nach der Aktualität dieser Streitschrift fragt.

Datenanalyse mit Python

Auswertung von Daten mit Pandas, NumPy und IPython
Author: Wes McKinney
Publisher: O'Reilly
ISBN: 3960102143
Category: Computers
Page: 542
View: 3578

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Erfahren Sie alles über das Manipulieren, Bereinigen, Verarbeiten und Aufbereiten von Datensätzen mit Python: Aktualisiert auf Python 3.6, zeigt Ihnen dieses konsequent praxisbezogene Buch anhand konkreter Fallbeispiele, wie Sie eine Vielzahl von typischen Datenanalyse-Problemen effektiv lösen. Gleichzeitig lernen Sie die neuesten Versionen von pandas, NumPy, IPython und Jupyter kennen.Geschrieben von Wes McKinney, dem Begründer des pandas-Projekts, bietet Datenanalyse mit Python einen praktischen Einstieg in die Data-Science-Tools von Python. Das Buch eignet sich sowohl für Datenanalysten, für die Python Neuland ist, als auch für Python-Programmierer, die sich in Data Science und Scientific Computing einarbeiten wollen. Daten und zugehöriges Material des Buchs sind auf GitHub verfügbar.Aus dem Inhalt:Nutzen Sie die IPython-Shell und Jupyter Notebook für das explorative ComputingLernen Sie Grundfunktionen und fortgeschrittene Features von NumPy kennenSetzen Sie die Datenanalyse-Tools der pandasBibliothek einVerwenden Sie flexible Werkzeuge zum Laden, Bereinigen, Transformieren, Zusammenführen und Umformen von DatenErstellen Sie interformative Visualisierungen mit matplotlibWenden Sie die GroupBy-Mechanismen von pandas an, um Datensätzen zurechtzuschneiden, umzugestalten und zusammenzufassenAnalysieren und manipulieren Sie verschiedenste Zeitreihen-DatenFür diese aktualisierte 2. Auflage wurde der gesamte Code an Python 3.6 und die neuesten Versionen der pandas-Bibliothek angepasst. Neu in dieser Auflage: Informationen zu fortgeschrittenen pandas-Tools sowie eine kurze Einführung in statsmodels und scikit-learn.