Lecture Notes in Mathematics 2164
|
|
- Lynn Martin
- 5 years ago
- Views:
Transcription
1 Lecture Notes in Mathematics 2164 Editors-in-Chief: Jean-Michel Morel, Cachan Bernard Teissier, Paris Advisory Board: Michel Brion, Grenoble Camillo De Lellis, Zurich Alessio Figalli, Zurich Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gábor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, New York Anna Wienhard, Heidelberg More information about this series at
2
3 Boris Hasselblatt Editor Ergodic Theory and Negative Curvature CIRM Jean-Morlet Chair, Fall
4 Editor Boris Hasselblatt Department of Mathematics Tufts University Medford, Massachusetts USA ISSN ISSN (electronic) Lecture Notes in Mathematics ISBN ISBN (ebook) DOI / Library of Congress Control Number: Mathematics Subject Classification (2010): 37C40, 37D40 Springer Cham Heidelberg New York Dordrecht London Springer International Publishing Switzerland 2017 A copublication with the Société de Mathématique de France (SMF) Sold and distributed to its members by the SMF, Institut Henri Poincaré, 11 rue Pierre et Marie Curie, Paris Cedex 05, France; ISBN SMF: This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
5 Preface This volume consists of notes from minicourses given in workshops held under the auspices of the Jean-Morlet Chair at CIRM in 2013 and 2014 and with substantial core support and funding by CIRM. Most of these courses were given during the workshop Young Mathematicians in Dynamical Systems organized by the GDR Platon under the direction of Françoise Dal Bo of Université Rennes 1; her co-organizers were Louis Funar (Université Grenoble 1), Boris Hasselblatt (Tufts University, CIRM, and Aix- Marseille Université), and Barbara Schapira (Université de Picardie Jules Verne). 1 The event was supported by several ANRs such as GEODE, directed by Barbara Schapira, and by the LABEX Archimede. The centerpieces were minicourses by Keith Burns (Northwestern University), Carlos Matheus (Instituto Nacional de Matemática Pura e Aplicada in Brazil and Université Paris 13), and Boris Hasselblatt. The scientific focus was the ergodicity of the Weil Petersson geodesic flow on Teichmüller space. The course by Burns presented geodesic flows and methods for proving their ergodicity, that by Matheus introduced Teichmüller space and the Weil Petersson metric, and that by Hasselblatt provided an introduction to hyperbolic dynamical systems and ergodic theory. Barbara Schapira presented in a unified way the classical dynamical and ergodic properties of the horocycle flow in the Spring 2014 School on Geometry and Dynamics, 2 which was organized by Nicolas Bedaride (Aix-Marseille Université), Alexander Bufetov (Aix- Marseille Université), Moon Duchin (Tufts University), Boris Hasselblatt, Pascal Hubert (Aix-Marseille Université), and Federico Rodriguez Hertz (Pennsylvania State University) with the scientific committee consisting of Giovanni Forni (the University of Maryland), Boris Hasselblatt, Howard Masur (the University of Illinois at Chicago and University of Chicago), and Grigori Olshanski (Dobrushin 1 The participant list is at &id_renc=1097&num_semaine=0. 2 The participant list is at &id_renc=1129&num_semaine=0. v
6 vi Preface Mathematics Laboratory at the Institute for Information Transmission Problems of the Russian Academy of Sciences, the Independent University of Moscow, and the National Research University Higher School of Economics). It was supported among others by the National Science Foundation, A*Midex, and the GDR Platon. The contents of this volume are as follows. It begins with foundational material: an introduction to hyperbolic dynamics and ergodic theory (plus a translation of Hadamard s proof of the stable-manifold theorem) by Boris Hasselblatt followed by one to the dynamics of geodesic and horocyclic flows by Barbara Schapira. The next three chapters cover the motivating mathematics for the workshop as follows: A detailed summary of the Burns Masur Wilkinson paper Ergodicity of the Weil Petersson Geodesic Flow lays out the agenda and core ideas. A text based on the lectures by Burns ( Ergodicity of Geodesic Flows on Incomplete Negatively Curved Manifolds ) then provides all the insights into the ergodicity proof. Finally, the lecture notes by Matheus ( The Dynamics of the Weil Petersson Flow ) provide comprehensive background on the Teichmüller theory at the base of the whole problem. We also included a survey of some arithmetic applications of ergodic theory in negative curvature, which rounds out the volume by adding another topic centered on ergodicity of geodesic flows in negative curvature. There is no need to read this book sequentially. The chapters make it as easy as possible to read any one of them independently while keeping it easy to refer to other chapters for any needed context. The editor gratefully acknowledges partial support by the Committee on Faculty Research Awards of Tufts University and will forever be indebted to CIRM for 6 months of truly exceptional working conditions. Medford, MA, USA April 2017 Boris Hasselblatt
7 Contents 1 Introduction to Hyperbolic Dynamics and Ergodic Theory... 1 Boris Hasselblatt 2 On Iteration and Asymptotic Solutions of Differential Equations by Jacques Hadamard Boris Hasselblatt (Translator) 3 Dynamics of Geodesic and Horocyclic Flows Barbara Schapira 4 Ergodicity of the Weil Petersson Geodesic Flow Keith Burns, Howard Masur, and Amie Wilkinson 5 Ergodicity of Geodesic Flows on Incomplete Negatively Curved Manifolds Keith Burns, Howard Masur, Carlos Matheus, and Amie Wilkinson 6 The Dynamics of the Weil Petersson Flow Carlos Matheus 7 A Survey of Some Arithmetic Applications of Ergodic Theory in Negative Curvature Jouni Parkkonen and Frédéric Paulin vii
Problem Books in Mathematics
Problem Books in Mathematics Series Editor: Peter Winkler Department of Mathematics Dartmouth College Hanover, NH 03755 USA More information about this series at http://www.springer.com/series/714 Hayk
More informationQuantum Theory and Local Causality
SPRINGER BRIEFS IN PHILOSOPHY Gábor Hofer-Szabó Péter Vecsernyés Quantum Theory and Local Causality SpringerBriefs in Philosophy SpringerBriefs present concise summaries of cutting-edge research and practical
More informationPaul M. Gauthier. Lectures on Several Complex
Paul M. Gauthier Lectures on Several Complex Variables Paul M. Gauthier Départment de Mathématiques et de Statistique Université de Montréal Montreal, QC, Canada ISBN 978-3-319-11510-8 ISBN 978-3-319-11511-5
More informationRacial Profiling and the NYPD
Racial Profiling and the NYPD Jay L. Newberry Racial Profiling and the NYPD The Who, What, When, and Why of Stop and Frisk Jay L. Newberry Department of Geography Binghamton University Binghamton, NY USA
More informationTrends in Mathematics
Trends in Mathematics Trends in Mathematics is a series devoted to the publication of volumes arising from conferences and lecture series focusing on a particular topic from any area of mathematics. Its
More informationAn Introduction to Well Control Calculations for Drilling Operations
An Introduction to Well Control Calculations for Drilling Operations Dave Cormack An Introduction to Well Control Calculations for Drilling Operations 123 Dave Cormack Consultant, Auriga Training Ltd.
More informationMathematics, Computer Science and Logic - A Never Ending Story
Mathematics, Computer Science and Logic - A Never Ending Story Peter Paule Editor Mathematics, Computer Science and Logic - A Never Ending Story The Bruno Buchberger Festschrift 123 Editor Peter Paule
More informationSpringerBriefs in Electrical and Computer Engineering
SpringerBriefs in Electrical and Computer Engineering More information about this series at http://www.springer.com/series/10059 Fatima Hussain Internet of Things Building Blocks and Business Models 123
More informationIntroduction to the Representation Theory of Algebras
Introduction to the Representation Theory of Algebras Michael Barot Introduction to the Representation Theory of Algebras 123 Michael Barot Instituto de Matemáticas Universidad Nacional Autónoma de México
More informationInnovations Lead to Economic Crises
Innovations Lead to Economic Crises Jon-Arild Johannessen Innovations Lead to Economic Crises Explaining the Bubble Economy Jon-Arild Johannessen Kristiania University College and Nord University Oslo/Bodø,
More informationThe Discourse of Peer Review
The Discourse of Peer Review Brian Paltridge The Discourse of Peer Review Reviewing Submissions to Academic Journals Brian Paltridge Sydney School of Education & Social Work University of Sydney Sydney,
More informationCollected Papers VI. Literary Reality and Relationships
Collected Papers VI. Literary Reality and Relationships PHAENOMENOLOGICA SERIES FOUNDED BY H.L. VAN BREDA AND PUBLISHED UNDER THE AUSPICES OF THE HUSSERL-ARCHIVES 206 ALFRED SCHUTZ COLLECTED PAPERS VI.
More informationBenedetto Cotrugli The Book of the Art of Trade
Benedetto Cotrugli The Book of the Art of Trade Carlo Carraro Giovanni Favero Editors Benedetto Cotrugli The Book of the Art of Trade With Scholarly Essays from Niall Ferguson, Giovanni Favero, Mario Infelise,
More informationCalculation of Demographic Parameters in Tropical Livestock Herds
Matthieu Lesnoff Renaud Lancelot Charles-Henri Moulin Samir Messad Xavier Juanès Christian Sahut Calculation of Demographic Parameters in Tropical Livestock Herds A discrete time approach with LASER animal-based
More informationPropaganda and Hogarth s Line of Beauty in the First World War
Propaganda and Hogarth s Line of Beauty in the First World War Georgina Williams Propaganda and Hogarth s Line of Beauty in the First World War Georgina Williams ISBN 978-1-137-57193-9 ISBN 978-1-137-57194-6
More informationUrbanization and the Migrant in British Cinema
Urbanization and the Migrant in British Cinema Gareth Millington Urbanization and the Migrant in British Cinema Spectres of the City Gareth Millington University of York York, UK ISBN 978-1-137-47398-1
More informationProtecting Chips Against Hold Time Violations Due to Variability
Protecting Chips Against Hold Time Violations Due to Variability Gustavo Neuberger Ricardo Reis Gilson Wirth Protecting Chips Against Hold Time Violations Due to Variability Gustavo Neuberger Instituto
More informationPerforming Age in Modern Drama
Performing Age in Modern Drama Valerie Barnes Lipscomb Performing Age in Modern Drama Valerie Barnes Lipscomb Liberal Arts University of South Florida Sarasota-Manatee Sarasota, Florida, USA ISBN 978-1-137-51251-2
More informationStudies in German Idealism
Studies in German Idealism Volume 17 Series Editor Reinier W. Munk, VU University, Amsterdam, The Netherlands Advisory Editorial Board Frederick Beiser, Syracuse University, U.S.A. Daniel Dahlstrom, Boston
More informationThe Grotesque in Contemporary Anglophone Drama
The Grotesque in Contemporary Anglophone Drama wwwwwwwwwwwwwwwww Ondřej Pilný The Grotesque in Contemporary Anglophone Drama Ondřej Pilný Department of Anglophone Literatures and Cultures Faculty of Arts
More informationThe Language of Cosmetics Advertising
The Language of Cosmetics Advertising aheuhiuea Helen Ringrow The Language of Cosmetics Advertising Helen Ringrow School of Languages and Area Studies University of Portsmouth Portsmouth, United Kingdom
More informationRhetoric, Politics and Society
Rhetoric, Politics and Society Series Editors Alan Finlayson University of East Anglia United Kingdom James Martin Goldsmiths, University of London United Kingdom Kendall Phillips University of Syracuse
More informationJ. Andrew Hubbell. Byron s Nature. A Romantic Vision of Cultural Ecology
Byron s Nature Given the important role that Lord Byron s short but massively influential poem Darkness played in the development of eco-criticism, the lack of a systematic examination of Lord Byron s
More informationThe New Middle Ages. Series Editor Bonnie Wheeler English & Medieval Studies Southern Methodist University Dallas, Texas, USA
The New Middle Ages Series Editor Bonnie Wheeler English & Medieval Studies Southern Methodist University Dallas, Texas, USA The New Middle Ages is a series dedicated to pluridisciplinary studies of medieval
More informationCognitive Studies in Literature and Performance
Cognitive Studies in Literature and Performance Series Editors Bruce McConachie Department of Theatre Arts University of Pittsburgh Pittsburgh, PA, USA Blakey Vermeule Department of English Stanford University
More informationShame and Modernity in Britain
Shame and Modernity in Britain Anne-Marie Kilday David S. Nash Shame and Modernity in Britain 1890 to the Present Anne-Marie Kilday Department of History, Philosophy and Religion Oxford Brookes University
More informationPostdisciplinary Studies in Discourse
Postdisciplinary Studies in Discourse Series Editors Johannes Angermuller University of Warwick Coventry, United Kingdom Judith Baxter Aston University Birmingham, UK Aim of the series Postdisciplinary
More informationTraining for Model Citizenship
Training for Model Citizenship Molly Sundberg Training for Model Citizenship An Ethnography of Civic Education and State- Making in Rwanda Molly Sundberg Uppsala University Uppsala Sweden ISBN 978-1-137-58421-2
More informationDada and Existentialism
Dada and Existentialism Elizabeth Benjamin Dada and Existentialism The Authenticity of Ambiguity Elizabeth Benjamin University of Birmingham Birmingham, United Kingdom ISBN 978-1-137-56367-5 DOI 10.1057/978-1-137-56368-2
More informationTrends in the History of Science
Trends in the History of Science Trends in the History of Science is a series devoted to the publication of volumes arising from workshops and conferences in all areas of current research in the history
More informationThe Language of Suspense in Crime Fiction
The Language of Suspense in Crime Fiction Reshmi Dutta-Flanders The Language of Suspense in Crime Fiction A Linguistic Stylistic Approach Reshmi Dutta-Flanders English Language and Linguistics School of
More informationAncient West Asian Civilization
Ancient West Asian Civilization Akira Tsuneki Shigeo Yamada Ken-ichiro Hisada Editors Ancient West Asian Civilization Geoenvironment and Society in the Pre- Islamic Middle East Editors Akira Tsuneki Faculty
More informationCultural Sociology. Series Editors Jeffrey C. Alexander Center for Cultural Sociology Yale University New Haven, CT, USA
Cultural Sociology Series Editors Jeffrey C. Alexander Center for Cultural Sociology Yale University New Haven, CT, USA Ron Eyerman Center for Cultural Sociology Yale University New Haven, CT, USA David
More informationIrish Women Writers and the Modern Short Story
Irish Women Writers and the Modern Short Story Elke D hoker Irish Women Writers and the Modern Short Story Elke D hoker University of Leuven Leuven, Belgium ISBN 978-3-319-30287-4 ISBN 978-3-319-30288-1
More informationSpringer Praxis Books
Springer Praxis Books More information about this series at http://www.springer.com/series/4097 J.B. Williams The Electronics Revolution Inventing the Future J.B. Williams Offord Darcy St Neots Cambridgeshire,
More informationComplicite, Theatre and Aesthetics
Complicite, Theatre and Aesthetics Tomasz Wiśniewski Complicite, Theatre and Aesthetics From Scraps of Leather Tomasz Wiśniewski University of Gdańsk, Poland ISBN 978-3-319-33442-4 ISBN 978-3-319-33443-1
More informationTheatre and Residual Culture
Theatre and Residual Culture Christopher Collins Theatre and Residual Culture J.M. Synge and Pre-Christian Ireland Christopher Collins School of English University of Nottingham Nottingham, UK ISBN 978-1-349-94871-0
More informationMarxism and Education. Series Editor Anthony Green Institute of Education University of London London, United Kingdom
Marxism and Education Series Editor Anthony Green Institute of Education University of London London, United Kingdom This series assumes the ongoing relevance of Marx s contributions to critical social
More informationJane Dowson. Carol Ann Duffy. Poet for Our Times
Carol Ann Duffy Jane Dowson Carol Ann Duffy Poet for Our Times Jane Dowson De Montfort University Leicester, UK ISBN 978-1-137-41562-2 ISBN 978-1-137-41563-9 (ebook) DOI 10.1057/978-1-137-41563-9 Library
More informationZdravko Cvetkovski. Inequalities. Theorems, Techniques and Selected Problems
Inequalities Zdravko Cvetkovski Inequalities Theorems, Techniques and Selected Problems Dipl. Math. Zdravko Cvetkovski Informatics Department European University-Republic of Macedonia Skopje, Macedonia
More informationEvolution of Broadcast Content Distribution
Evolution of Broadcast Content Distribution Roland Beutler Evolution of Broadcast Content Distribution 123 Roland Beutler Südwestrundfunk (SWR) Stuttgart, Germany ISBN 978-3-319-45972-1 ISBN 978-3-319-45973-8
More informationThe Second French Republic
The Second French Republic 1848 1852 Christopher Guyver The Second French Republic 1848 1852 A Political Reinterpretation Christopher Guyver Chertsey, Surrey, United Kingdom ISBN 978-1-137-59739-7 ISBN
More informationPublications des Archives Henri-Poincaré Publications of the Henri Poincaré Archives
Publications des Archives Henri-Poincaré Publications of the Henri Poincaré Archives Textes et Travaux, Approches Philosophiques en Logique, Mathématiques et Physique autour de 1900 Texts, Studies and
More informationErgebnisse der Mathematik und ihrer Grenzgebiete
Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Folge. Band 26 A Series of Modem Surveys in Mathematics Editorial Board E. Bombieri, Princeton S. Feferman, Stanford M. Gromov, Bures-sur-Yvette H.W.
More informationHow to Write Technical Reports
How to Write Technical Reports Lutz Hering Heike Hering How to Write Technical Reports Understandable Structure, Good Design, Convincing Presentation 123 Dr. Lutz Hering Am Ricklinger Holze 14 30966 Hemmingen
More informationFoundations of Mathematics
Erwin Engeler Foundations of Mathematics Questions of Analysis, Geometry & Algorithmics Translated by Charles B. Thomas With 29 Figures Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong
More informationGuide to Computing for Expressive Music Performance
Guide to Computing for Expressive Music Performance Alexis Kirke Eduardo R. Miranda Editors Guide to Computing for Expressive Music Performance Editors Alexis Kirke Interdisciplinary Centre for Computer
More informationThe Marmoset Brain in Stereotaxic Coordinates
The Marmoset Brain in Stereotaxic Coordinates Xavier Palazzi Nicole Bordier The Marmoset Brain in Stereotaxic Coordinates 13 Xavier Palazzi Biomatech Chasse-sur-Rhoˆne x.palazzi@biomatech.fr Nicole Bordier
More informationRamanujan's Notebooks
Ramanujan's Notebooks Part II Springer New York Berlin Heidelberg Barcelona Hong Kong London Milan Paris Singapore Tokyo Bust of Ramanujan by Paul Granlund Bruce C. Berndt Ramanujan's Notebooks Part II
More informationA Algorithms and Combinatorics 13
A Algorithms and Combinatorics 13 Editorial Board R. L. Graham, Murray Hill B. Korte, Bonn L. Lovasz, Budapest A.Wigderson, Jerusalem G. M. Ziegler, Berlin Springer Berlin Heidelberg New York Barcelona
More informationBirkhäuser Advanced Texts
Birkhäuser Advanced Texts Basler Lehrbücher Edited by Herbert Amann, University of Zürich Steven G. Krantz, Washington University, St. Louis Shrawan Kumar, University of North Carolina at Chapel Hili Steven
More informationJourney through Mathematics
Journey through Mathematics Enrique A. González-Velasco Journey through Mathematics Creative Episodes in Its History Enrique A. González-Velasco Department of Mathematical Sciences University of Massachusetts
More informationEdited by: Wolfgang Dietrich UNESCO Chair for Peace Studies University of Innsbruck/Austria
Masters of Peace Masters of Peace is a book series edited by the University of Innsbruck s UNESCO Chair for Peace Studies. It has been founded to honour outstanding works of young academics in the field
More informationTHEORY AND APPLICATIONS OF SPECIAL FUNCTIONS. A Volume Dedicated to Mizan Rahman
- - - - -- - THEORY AND APPLICATIONS OF SPECIAL FUNCTIONS A Volume Dedicated to Mizan Rahman Developments in Mathematics VOLUME 13 Series Editor: Krishnaswami Alladi, University of Florida, U.S.A. Aims
More informationProgress in Mathematics Volume 249. Series Editors Hyman Bass Joseph Oesterle Alan Weinstein
Progress in Mathematics Volume 249 Series Editors Hyman Bass Joseph Oesterle Alan Weinstein Joachim Kock Israel Vainsencher An Invitation to Quantum Cohomology Kontsevich's Formula for Rational Plane Curves
More informationCognitive Studies in Literature and Performance
Cognitive Studies in Literature and Performance Series Editors Bruce McConachie Department of Theatre Arts University of Pittsburgh Pittsburgh, Pennsylvania, USA Blakey Vermeule Department of English Stanford
More informationA Glossary of Anesthesia and Related Terminology. Second Edition
A Glossary of Anesthesia and Related Terminology Second Edition Sanford L. Klein A Glossary of Anesthesia and Related Terminology Second Edition With 228 Illustrations Springer-Verlag New York Berlin Heidelberg
More informationWittgenstein and Interreligious Disagreement
Wittgenstein and Interreligious Disagreement Gorazd Andrejč Wittgenstein and Interreligious Disagreement A Philosophical and Theological Perspective Gorazd Andrejč St Edmunds College University of Cambridge
More informationGuide to Unconventional Computing for Music
Guide to Unconventional Computing for Music Eduardo Reck Miranda Editor Guide to Unconventional Computing for Music 123 Editor Eduardo Reck Miranda University of Plymouth Plymouth UK ISBN 978-3-319-49880-5
More informationLandolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W.
Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W. Martienssen Group III: Condensed Matter Volume 44 Semiconductors Subvolume C New
More informationVision, Illusion and Perception
Vision, Illusion and Perception Volume 1 Series editor Nicholas Wade, University of Dundee, Department of Psychology, Dundee, DD1 4HN, Scotland, UK e-mail: n.j.wade@dundee.ac.uk Editorial Board Benjamin
More informationTheory of Digital Automata
Theory of Digital Automata International Series on INTELLIGENT SYSTEMS, CONTROL AND AUTOMATION: SCIENCE AND ENGINEERING VOLUME 63 Editor Professor S. G. Tzafestas, National Technical University of Athens,
More informationLandolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W.
Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W. Martienssen Group III: Condensed Matter Volume 44 Semiconductors Subvolume D New
More informationLandolt-Börnstein / New Series
Landolt-Börnstein / New Series Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series Editor in Chief: W. Martienssen Units and Fundamental Constants in Physics
More informationEATCS Monographs on Theoretical Computer Science
EATCS Monographs on Theoretical Computer Science Volume 23 Editors: W. Brauer G. Rozenberg A. Salomaa Advisory Board: G.Ausiello M.Broy S.Even IHartmanis N.Jones T. Leighton M.Nivat C. Papadimitriou D.
More informationFormal Concept Analysis
Formal Concept Analysis Springer Berlin Heidelberg New York Barcelona Hong Kong London Milan Paris Singapore Tokyo Bernhard Ganter Rudolf Wille Formal Concept Analysis Mathematical Foundations With 105
More informationANTON SOLOMKO. University of Bristol School of Mathematics Howard House, Queens Avenue Bristol, BS8 1SN, UK
ANTON SOLOMKO University of Bristol School of Mathematics Howard House, Queens Avenue Bristol, BS8 1SN, UK Office: +44 (0) 117 95 456 14 Fax: +44 (0) 117 33 15 264 E-mail: anton.solomko@bristol.ac.uk Skype:
More informationComponents and Services for IoT Platforms
Components and Services for IoT Platforms Georgios Keramidas Nikolaos Voros Michael Hübner Editors Components and Services for IoT Platforms Paving the Way for IoT Standards 123 Editors Georgios Keramidas
More informationArnold s Problems. 3 Berlin Heidelberg New York Hong Kong London Milan Paris Tokyo
Arnold s Problems 3 Berlin Heidelberg New York Hong Kong London Milan Paris Tokyo Arnold s Problems Edited by Vladimir I. Arnold 13 PHASIS Vladimir I. Arnold Steklov Mathematical Institute ul. Gubkina
More informationEdible Medicinal and Non-Medicinal Plants
Edible Medicinal and Non-Medicinal Plants T.K. Lim Edible Medicinal and Non-Medicinal Plants Volume 5, Fruits ISBN 978-94-007-5652-6 ISBN 978-94-007-5653-3 (ebook) DOI 10.1007/978-94-007-5653-3 Springer
More informationCurriculum Vitae Douglas A. Lind
Curriculum Vitae Douglas A. Lind Department of Mathematics University of Washington Seattle, Washington 98195 Telephone: Work (206) 543-1723, Fax (206) 322-1443 Home (206) 322-0133; Citizenship: US Email:
More informationFreshwater Invertebrates in Central Europe
Freshwater Invertebrates in Central Europe György Kriska Freshwater Invertebrates in Central Europe A Field Guide György Kriska Group for Methodology in Biology Teaching, Biological Institute Eötvös Loránd
More informationThe Shawshank Experience
The Shawshank Experience Maura Grady Tony Magistrale The Shawshank Experience Tracking the History of the World s Favorite Movie Maura Grady Ashland University Ashland, USA Tony Magistrale University of
More informationBeing Agile. Your Roadmap to Successful Adoption of Agile. Mario E. Moreira
Being Agile Your Roadmap to Successful Adoption of Agile Mario E. Moreira Being Agile: Your Roadmap to Successful Adoption of Agile Copyright 2013 by Mario E. Moreira This work is subject to copyright.
More informationCommunicating Science
Communicating Science Pierre Laszlo Communicating Science A Practical Guide 123 Prof. Pierre Laszlo Cloud s Rest Prades F-12320 Senergues France DOI 10.1007/75951 ISBN-10 3-540-31919-0 Springer Berlin
More informationPerforming Arts Medicine in Clinical Practice
Performing Arts Medicine in Clinical Practice Howard A. Bird Performing Arts Medicine in Clinical Practice Howard A. Bird University College London London UK ISBN 978-3-319-12426-1 DOI 10.1007/978-3-319-12427-8
More informationDamage Mechanics with Finite Elements
Damage Mechanics with Finite Elements Springer-Verlag Berlin Heidelberg GmbH P. 1. Kattan. G. Z. Voyiadjis Damage Mechanics with Finite Elements Practical Applications with Computer Tools With 28 Figures
More informationMarx, Engels, and Marxisms
Marx, Engels, and Marxisms Series Editors Terrell Carver University of Bristol Bristol, United Kingdom Marcello Musto York University Toronto, Ontario, Canada The volumes of this series challenge the Marxist
More informationProust, China and Intertextual Engagement
Proust, China and Intertextual Engagement Shuangyi Li Proust, China and Intertextual Engagement Translation and Transcultural Dialogue Shuangyi Li Lund University Lund, Sweden ISBN 978-981-10-4453-3 ISBN
More informationLOCALITY DOMAINS IN THE SPANISH DETERMINER PHRASE
LOCALITY DOMAINS IN THE SPANISH DETERMINER PHRASE Studies in Natural Language and Linguistic Theory VOLUME 79 Managing Editors Marcel den Dikken, City University of New York Liliane Haegeman, University
More informationS TAMPING THROUGH MATHEMATICS
S TAMPING THROUGH MATHEMATICS The ten mathematical formulae that changed the face of the earth, as depicted by Nicaragua in 1971. Albrecht Dürer s enigmatic engraving Melencolia I appears on this miniature
More informationCompanion to European Heritage Revivals / edited by Linde Egberts and Koos Bosma
Companion to European Heritage Revivals / edited by Linde Egberts and Koos Bosma Companion to European Heritage Revivals / edited by Linde Egberts and Koos Bosma Linde Egberts and Koos Bosma (eds.) CLUE
More informationTexts in Theoretical Computer Science An EATCS Series
Texts in Theoretical Computer Science An EATCS Series Editors: W. Brauer G. Rozenberg A. Salomaa Advisory Board: G. Ausiello M. Broy S. Even J. Hartmanis N. Jones T. Leighton M. Nivat C. Papadimitriou
More informationTrends in Mathematics
Trends in Mathematics Trends in Mathematics is a series devoted to the publication of volumes arising from conferences and lecture series focusing on a particular topic from any area of mathematics. Its
More informationNumerical Analysis. Ian Jacques and Colin Judd. London New York CHAPMAN AND HALL. Department of Mathematics Coventry Lanchester Polytechnic
Numerical Analysis Numerical Analysis Ian Jacques and Colin Judd Department of Mathematics Coventry Lanchester Polytechnic London New York CHAPMAN AND HALL First published in 1987 by Chapman and Hall Ltd
More informationMATLAB Ò and Design Recipes for Earth Sciences
MATLAB Ò and Design Recipes for Earth Sciences Martin H. Trauth Elisabeth Sillmann MATLAB Ò and Design Recipes for Earth Sciences How to Collect, Process and Present Geoscientific Information 123 Martin
More informationMulticriteria Optimization
Multicriteria Optimization Matthias Ehrgott Multicriteria Optimization Second edition With 88 Figures and 12 Tables 12 Dr. habil. Matthias Ehrgott, Associate Professor The University of Auckland Department
More informationInjectable Fillers in Aesthetic Medicine
Mauricio de Maio Berthold Rzany Injectable Fillers in Aesthetic Medicine Second Edition 123 Injectable Fillers in Aesthetic Medicine Mauricio de Maio Berthold Rzany Injectable Fillers in Aesthetic Medicine
More informationLiteratures of the Americas. Series Editor Norma E. Cantú KANSAS CITY, Missouri, USA
Literatures of the Americas Series Editor Norma E. Cantú KANSAS CITY, Missouri, USA This series seeks to bring forth contemporary critical interventions within a hemispheric perspective, with an emphasis
More informationNineteenth-Century Major Lives and Letters. Series Editor Marilyn Gaull Editorial Institute Boston University Boston, MA, USA
Nineteenth-Century Major Lives and Letters Series Editor Marilyn Gaull Editorial Institute Boston University Boston, MA, USA This series presents original biographical, critical, and scholarly studies
More informationThe Sound of Silence
The Sound of Silence Burkhard Vogel The Sound of Silence Lowest-Noise RIAA Phono-Amps: Designer s Guide 123 Dipl.-Ing. Burkhard Vogel BUVOCON-Burkhard Vogel Consult GmbH 70180 Stuttgart, Germany ISBN 978-3-540-76883-8
More informationIntroduction to the Calculus of Variations Downloaded from by on 12/23/17. For personal use only.
Published by Imperial College Press 57 Shelton Street Covent Garden London WC2H 9HE Distributed by Introduction to the Calculus of Variations Downloaded from www.worldscientific.com World Scientific Publishing
More informationE. Kowalski. Nuclear Electronics. With 337 Figures. Springer-Verlag New York Heidelberg Berlin 1970
E. Kowalski Nuclear Electronics With 337 Figures Springer-Verlag New York Heidelberg Berlin 1970 Dr. Emil Kowalski Lecturer, Institute of Applied Physics, University of Berne, Switzerland Nucleonics Division,
More informationNEUROANATOMY 3D-Stereoscopic Atlas of the Human Brain
Martin C. Hirsch Thomas Kramer NEUROANATOMY 3D-Stereoscopic Atlas of the Human Brain Springer-Verlag Berlin Heidelberg GmbH Martin C. Hirsch Thomas Kramer NEUROANATOMY 3D-Stereoscopic Atlas of the Human
More informationBritish Idealism and the Concept of the Self
British Idealism and the Concept of the Self W.J. Mander Stamatoula Panagakou Editors British Idealism and the Concept of the Self Editors W.J. Mander Harris Manchester College Oxford, United Kingdom
More informationINTRODUCTION TO AXIOMATIC SET THEORY
INTRODUCTION TO AXIOMATIC SET THEORY SYNTHESE LIBRARY MONOGRAPHS ON EPISTEMOLOGY, LOGIC, METHODOLOGY, PHILOSOPHY OF SCIENCE, SOCIOLOGY OF SCIENCE AND OF KNOWLEDGE, AND ON THE MATHEMATICAL METHODS OF SOCIAL
More informationThe Letter in Flora Tristan s Politics,
The Letter in Flora Tristan s Politics, 1835 1844 This page intentionally left blank The Letter in Flora Tristan s Politics, 1835 1844 Máire Fedelma Cross Máire Fedelma Cross 2004 Softcover reprint of
More informationKöhler s Invention Birkhäuser Verlag Basel Boston Berlin
Klaus Eichmann Köhler s Invention Birkhäuser Verlag Basel Boston Berlin Prof. Dr. Klaus Eichmann Max-Planck-Institut für Immunbiologie Stübeweg 51 D-79108 Freiburg Library of Congress Cataloging-in-Publication
More informationSix Lectures. on Modern Natural Philosophy. c. Truesdell. Springer-Verlag Berlin Heidelberg GmbH 1966
Six Lectures on Modern Natural Philosophy c. Truesdell Springer-Verlag Berlin Heidelberg GmbH 1966 ISBN 978-3-662-28239-7 DOI 10.1007/978-3-662-29756-8 ISBN 978-3-662-29756-8 (ebook) All rights, especially
More informationRasch Models. Foundations, Recent Developments, and Applications
Rasch Models Foundations, Recent Developments, and Applications Gerhard H. Fischer Ivo W. Molenaar Editors Rasch Models Foundations, Recent Developments, and Applications With 19 Illustrations Springer-Verlag
More information