Lecture Notes in Mathematics 2151
|
|
- Walter Haynes
- 7 years ago
- Views:
Transcription
1 Lecture Notes in Mathematics 2151 Editors-in-Chief: J.-M. Morel, Cachan B. Teissier, Paris Advisory Board: Camillo De Lellis, Zurich Mario di Bernardo, Bristol Alessio Figalli, Austin Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gabor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, Paris and NY Catharina Stroppel, Bonn Anna Wienhard, Heidelberg More information about this series at
2 Saint-Flour Probability Summer School The Saint-Flour volumes are reflections of the courses given at the Saint-Flour Probability Summer School. Founded in 1971, this school is organised every year by the Laboratoire de Mathématiques (CNRS and Université Blaise Pascal, Clermont-Ferrand, France). It is intended for PhD students, teachers and researchers who are interested in probability theory, statistics, and in their applications. The duration of each school is 13 days (it was 17 days up to 2005), and up to 70 participants can attend it. The aim is to provide, in three high-level courses, a comprehensive study of some fields in probability theory or Statistics. The lecturers are chosen by an international scientific board. The participants themselves also have the opportunity to give short lectures about their research work. Participants are lodged and work in the same building, a former seminary built in the 18th century in the city of Saint-Flour, at an altitude of 900 m. The pleasant surroundings facilitate scientific discussion and exchange. The Saint-Flour Probability Summer School is supported by: Université Blaise Pascal Centre National de la Recherche Scientifique (C.N.R.S.) Ministère délégué à l Enseignement supérieur et à la Recherche For more information, see Christophe Bahadoran bahadora@math.univ-bpclermont.fr Arnaud Guillin Arnaud.Guillin@math.univ-bpclermont.fr Laurent Serlet Laurent.Serlet@math.univ-bpclermont.fr Université Blaise Pascal Aubière cedex, France
3 Zhan Shi Branching Random Walks École d Été de Probabilités de Saint-Flour XLII 2012
4 Zhan Shi Laboratoire de Probabilités et ModJeles Aléatoires Université Pierre et Marie Curie Paris, France ISSN ISSN (electronic) Lecture Notes in Mathematics ISBN ISBN (ebook) DOI / Library of Congress Control Number: Mathematics Subject Classification: 60J80, 60J85, 60G50, 60K37 Springer Cham Heidelberg New York Dordrecht London Springer International Publishing Switzerland 2015 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. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (
5 To the memory of my teacher, Professor Marc Yor ( ) 但 去 莫 复 问, 白 云 无 尽 时 - Œ 唐 王 维 送 别
6
7 Preface These notes attempt to provide an elementary introduction to the one-dimensional discrete-time branching random walk and to exploit its spinal structure. They begin with the case of the Galton Watson tree for which the spinal structure, formulated in the form of the size-biased tree, is simple and intuitive. Chapter 3 is devoted to a few fundamental martingales associated with the branching random walk. The spinal decomposition is introduced in Chap. 4, first in its more general form, followed by two important examples. This chapter gives the most important mathematical tool of the notes. Chapter 5 forms, together with Chap. 4, the main part of the text. Exploiting the spinal decomposition theorem, we study various asymptotic properties of the extremal positions in the branching random walk and of the fundamental martingales. The last part of the notes presents a brief account of results for a few related and more complicated models. The lecture notes by Berestycki [43] and Zeitouni [235] give a general and excellent account of, respectively, branching Brownian motion and the F-KPP equation and branching random walks with applications to Gaussian free fields. I would like to deeply thank Yueyun Hu; together we wrote about 20 papers in the last 20 years, some of them strongly related to the material presented here. I am grateful to Élie Aïdékon, Julien Berestycki, Éric Brunet, Xinxin Chen, Bernard Derrida, Gabriel Faraud, Nina Gantert, and Jean-Baptiste Gouéré for stimulating discussions, to Bastien Mallein and Michel Pain for great assistance in the preparation of the present notes, and to Christian Houdré for correcting my English with patience. I wish to thank Laurent Serlet and the Scientific Board of the École d été de probabilités de Saint-Flour for the invitation to deliver these lectures. Paris, France August 2015 Zhan Shi vii
8
9 Contents 1 Introduction BranchingBrownianMotion Branching Random Walks TheMany-to-OneFormula Application: Velocity of the Leftmost Position Examples Notes Galton Watson Trees The Extinction Probability Size-Biased Galton Watson Trees Application:The Kesten StigumTheorem Notes Branching Random Walks and Martingales Branching Random Walks: Basic Notation TheAdditiveMartingale The Multiplicative Martingale TheDerivativeMartingale Notes The Spinal Decomposition Theorem Attaching a Spine to the Branching Random Walk Harmonic Functions and Doob s h-transform Change of Probabilities The Spinal Decomposition Theorem Proof of the Spinal Decomposition Theorem Example: Size-Biased Branching Random Walks Example:Abovea GivenValue Alongthe Spine Application:The Biggins MartingaleConvergenceTheorem Notes ix
10 x Contents 5 Applications of the Spinal Decomposition Theorem Assumption(H) Convergenceof the DerivativeMartingale LeftmostPosition: Weak Convergence Leftmost Position: Limiting Law Step 1: The DerivativeMartingaleis Useful Step 2: Proof of the KeyEstimate Step 3a: Proofof Lemma Step 3b: Proofof Lemma Step 4: The Role of the Non-lattice Assumption LeftmostPosition: Fluctuations Convergenceof the AdditiveMartingale The Genealogy of the Leftmost Position Proofof the Peeling Lemma Notes Branching Random Walks with Selection Branching Random Walks with Absorption The N-BRW The L-BRW Notes Biased Random Walks on Galton Watson Trees A Simple Example TheSlow Movement The Maximal Displacement FavouriteSites Notes A Sums of i.i.d. Random Variables A.1 TheRenewal Function A.2 Random Walks to Stay Above a Barrier References
Lecture Notes in Mathematics 2033
Lecture Notes in Mathematics 2033 Editors: J.-M. Morel, Cachan B. Teissier, Paris Subseries: École d Été de Probabilités de Saint-Flour For further volumes: http://www.springer.com/series/304 Saint-Flour
More informationLecture Notes in Mathematics 2026
Lecture Notes in Mathematics 2026 Editors: J.-M. Morel, Cachan B. Teissier, Paris Subseries: École d Été de Probabilités de Saint-Flour For further volumes: http://www.springer.com/series/304 Saint-Flour
More informationLecture Notes in Mathematics 2108
Lecture Notes in Mathematics 2108 Editors-in-Chief: J.-M. Morel, Cachan B. Teissier, Paris Advisory Board: Camillo De Lellis (Zürich) Mario Di Bernardo (Bristol) Alessio Figalli (Austin) Davar Khoshnevisan
More informationApplying Comparative Effectiveness Data to Medical Decision Making
Applying Comparative Effectiveness Data to Medical Decision Making Carl V. Asche Editor Applying Comparative Effectiveness Data to Medical Decision Making A Practical Guide Adis Editor Carl V. Asche Research
More informationLasers in Restorative Dentistry
Lasers in Restorative Dentistry Giovanni Olivi Matteo Olivi Editors Lasers in Restorative Dentistry A Practical Guide Editors Giovanni Olivi Rome Italy Matteo Olivi Rome Italy ISBN 978-3-662-47316-0 DOI
More informationAutomated Firewall Analytics
Automated Firewall Analytics Ehab Al-Shaer Automated Firewall Analytics Design, Configuration and Optimization 123 Ehab Al-Shaer University of North Carolina Charlotte Charlotte, NC, USA ISBN 978-3-319-10370-9
More informationInternational Series on Consumer Science
International Series on Consumer Science For further volumes: http://www.springer.com/series/8358 Tsan-Ming Choi Editor Fashion Branding and Consumer Behaviors Scientific Models 1 3 Editor Tsan-Ming Choi
More informationOral and Cranial Implants
Oral and Cranial Implants Hugh Devlin Ichiro Nishimura Editors Oral and Cranial Implants Recent Research Developments Editors Hugh Devlin School of Dentistry University of Manchester Manchester United
More informationSpringerBriefs in Criminology
SpringerBriefs in Criminology More information about this series at http://www.springer.com/series/10159 Wesley G. Jennings Rolf Loeber Dustin A. Pardini Alex R. Piquero David P. Farrington Offending
More informationHuman Rights in European Criminal Law
Human Rights in European Criminal Law ThiS is a FM Blank Page Stefano Ruggeri Editor Human Rights in European Criminal Law New Developments in European Legislation and Case Law after the Lisbon Treaty
More informationSpatial Inequalities
Spatial Inequalities GeoJournal Library Volume 110 Managing Editor: Daniel Z. Sui, Columbus, Ohio, USA Founding Series Editor: Wolf Tietze, Helmstedt, Germany Editorial Board: Paul Claval, France Yehuda
More informationColon Polyps and the Prevention of Colorectal Cancer
Colon Polyps and the Prevention of Colorectal Cancer Omer Engin Editor Colon Polyps and the Prevention of Colorectal Cancer Editor Omer Engin Department of Surgery Izmir Buca Hospital Buca, Izmir Turkey
More informationLecture Notes in Mathematics 1908
Lecture Notes in Mathematics 1908 Editors: J.-M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris Subseries: École d Été de Probabilités de Saint-Flour Saint-Flour Probability Summer School The Saint-Flour
More informationBig-Data Analytics and Cloud Computing
Big-Data Analytics and Cloud Computing Marcello Trovati Richard Hill Ashiq Anjum Shao Ying Zhu Lu Liu Editors Big-Data Analytics and Cloud Computing Theory, Algorithms and Applications 123 Editors Marcello
More informationThe Product Manager s Toolkit
The Product Manager s Toolkit Gabriel Steinhardt The Product Manager s Toolkit Methodologies, Processes and Tasks in High-Tech Product Management ISBN 978-3-642-04507-3 e-isbn 978-3-642-04508-0 DOI 10.1007/978-3-642-04508-0
More informationEssential Clinical Social Work Series
Essential Clinical Social Work Series Series Editor Carol Tosone For further volumes: http://www.springer.com/series/8115 Judith B. Rosenberger Editor Relational Social Work Practice with Diverse Populations
More informationChallenges and Opportunities in Health Care Management
Challenges and Opportunities in Health Care Management . Sebastian Gurtner Katja Soyez Editors Challenges and Opportunities in Health Care Management Editors Sebastian Gurtner Research Group InnoTech4Health
More informationAdult Attachment in Clinical Social Work
Adult Attachment in Clinical Social Work Essential Clinical Social Work Series Series Editor: Carol Tosone For other titles published in this series, go to www.springer.com/series/8115 Susanne Bennett
More informationJava and the Java Virtual Machine
Java and the Java Virtual Machine Springer Berlin Heidelberg New York Barcelona Hong Kong London Milan Paris Singapore Tokyo Robert F. SHirk Joachim Schmid Egon Borger Java and the Java Virtual Machine
More informationStem Cell Biology and Regenerative Medicine
Stem Cell Biology and Regenerative Medicine Series Editor Kursad Turksen, Ph.D. kursadturksen@gmail.com For further volumes: http://www.springer.com/series/7896 Tiziana A.L. Brevini Editor Stem Cells
More informationLecture Notes in Computer Science 5161
Lecture Notes in Computer Science 5161 Commenced Publication in 1973 Founding and Former Series Editors: Gerhard Goos, Juris Hartmanis, and Jan van Leeuwen Editorial Board David Hutchison Lancaster University,
More informationMathematical Modeling and Methods of Option Pricing
Mathematical Modeling and Methods of Option Pricing This page is intentionally left blank Mathematical Modeling and Methods of Option Pricing Lishang Jiang Tongji University, China Translated by Canguo
More informationLOOKING FOR A GOOD TIME TO BET
LOOKING FOR A GOOD TIME TO BET LAURENT SERLET Abstract. Suppose that the cards of a well shuffled deck of cards are turned up one after another. At any time-but once only- you may bet that the next card
More informationLibrary and Information Sciences
Library and Information Sciences Chuanfu Chen Ronald Larsen Editors Library and Information Sciences Trends and Research Editors Chuanfu Chen School of Information Management Wuhan University Wuhan China
More informationGenitourinary Radiology: Male Genital Tract, Adrenal and Retroperitoneum
Genitourinary Radiology: Male Genital Tract, Adrenal and Retroperitoneum Vikram S. Dogra Gregory T. MacLennan Editors Ahmet Tuncay Turgut Anastasia Canacci Associate Editors Mehmet Ruhi Onur Assistant
More informationGendering the International Asylum and Refugee Debate
Gendering the International Asylum and Refugee Debate This page intentionally left blank Gendering the International Asylum and Refugee Debate 2nd edition Jane Freedman Professor of Political Science,
More informationThe Neuropsychology Toolkit
The Neuropsychology Toolkit Richard L. Wanlass The Neuropsychology Toolkit Guidelines, Formats, and Language Richard L. Wanlass University of California, Davis, Medical Center Sacramento, CA, USA Richard.Wanlass@ucdmc.ucdavis.edu
More informationThe Banks and the Italian Economy
The Banks and the Italian Economy Damiano Bruno Silipo The Banks and the Italian Economy Physica Verlag A Springer Company Editor Professor Damiano Bruno Silipo Dipartimento di Economia e Statistica Università
More informationINTELLIGENT SYSTEMS, CONTROL, AND AUTOMATION: SCIENCE AND ENGINEERING
Robotics International Series on INTELLIGENT SYSTEMS, CONTROL, AND AUTOMATION: SCIENCE AND ENGINEERING VOLUME 43 Editor Professor S. G. Tzafestas, National Technical University of Athens, Greece Editorial
More informationUnderstanding Competitive Advantage
Understanding Competitive Advantage Fredrik Nilsson Birger Rapp Understanding Competitive Advantage The Importance of Strategic Congruence and Integrated Control With 44 Figures 4y Springer Professor Dr.
More informationFirms in Open Source Software Development
Firms in Open Source Software Development Mario Schaarschmidt Firms in Open Source Software Development Managing Innovation Beyond Firm Boundaries Foreword by Prof. Dr. Harald von Kortzfleisch RESEARCH
More informationSpringer-Verlag Berlin Heidelberg GmbH
Information Systems Outsourcing Springer-Verlag Berlin Heidelberg GmbH Rudy Hirschheim Armin Heinzl. Jens Dibbern Editors Information Systems Outsourcing Enduring Themes, Emergent Patterns and Future Directions
More informationHow To Write An Fpa Programmable Gate Array
Reconfigurable Field Programmable Gate Arrays for Mission-Critical Applications Niccolò Battezzati Luca Sterpone Massimo Violante Reconfigurable Field Programmable Gate Arrays for Mission-Critical Applications
More informationStatistics for Biology and Health
Statistics for Biology and Health Series Editors M. Gail, K. Krickeberg, J.M. Samet, A. Tsiatis, W. Wong For further volumes: http://www.springer.com/series/2848 David G. Kleinbaum Mitchel Klein Survival
More informationSustainable Supply Chains
Sustainable Supply Chains International Series in Operations Research & Management Science Volume 174 Series Editor: Frederick S. Hillier Stanford University, CA, USA Special Editorial Consultant: Camille
More informationICS Summer School 2016
ICS Summer School 2016 Scientific Trends at the Interfaces Scientific Visualization Data Science Organisers: Pascal Frey, Patrick Gallinari, Agathe Guilloux, Sylvie Thiria, Julien Tierny July 18th August
More informationSpringer Proceedings in Mathematics & Statistics
Springer Proceedings in Mathematics & Statistics Volume 135 More information about this series at http://www.springer.com/series/10533 Springer Proceedings in Mathematics & Statistics This book series
More informationInfectious Diseases in Pediatric Otolaryngology
Infectious Diseases in Pediatric Otolaryngology Tulio A. Valdez Jesus G. Vallejo Editors Infectious Diseases in Pediatric Otolaryngology A Practical Guide Editors Tulio A. Valdez Department of Pediatric
More informationPediatric Board Study Guide
Pediatric Board Study Guide Editor Pediatric Board Study Guide A Last Minute Review Editor Department of Pediatrics Paul L Foster School of Medicine, Texas Tech, University Health Sciences Center El Paso
More informationMiklós Szendrői Franklin H. Sim (Eds.) Color Atlas of Clinical Orthopedics
Miklós Szendrői Franklin H. Sim (Eds.) Color Atlas of Clinical Orthopedics Miklós Szendrői Franklin H. Sim (Eds.) Color Atlas of Clinical Orthopedics Miklós Szendrői 1113 Budapest Franklin Sim Mayo Clinic
More informationThe Political Economy of Regulation in Turkey
The Political Economy of Regulation in Turkey Tamer Çetin Fuat Oğuz Editors The Political Economy of Regulation in Turkey Editors Tamer Çetin Department of Economics Yildiz Technical University Yildiz
More informationThe International Society of Business, Economics, and Ethics Book Series
The International Society of Business, Economics, and Ethics Book Series Volume 5 Series editors Daryl Koehn Ethics and Business Law, University of St. Thomas, Opus College of Business, St. Paul, Minnesota,
More informationThe MRI Study Guide for Technologists
The MRI Study Guide for Technologists Kenneth S. Meacham The MRI Study Guide for Technologists With 51 Illustrations Springer-Verlag New York Berlin Heidelberg London Paris Tokyo Hong Kong Barcelona Budapest
More informationProbability and Statistics
Probability and Statistics Syllabus for the TEMPUS SEE PhD Course (Podgorica, April 4 29, 2011) Franz Kappel 1 Institute for Mathematics and Scientific Computing University of Graz Žaneta Popeska 2 Faculty
More informationContemporary Pediatric and Adolescent Sports Medicine
Contemporary Pediatric and Adolescent Sports Medicine Series Editor Lyle J. Micheli For further volumes: http://www.springer.com/series/11729 Lyle Micheli Cynthia Stein Michael O Brien Pierre d Hemecourt
More informationSection des Unités de recherche. Evaluation report. Research unit : Troubles du comportement alimentaire de l adolescent. University Paris 11
Section des Unités de recherche Evaluation report Research unit : Troubles du comportement alimentaire de l adolescent University Paris 11 Mars 2009 Section des Unités de recherche Rapport d'évaluation
More informationInnovation and Teaching Technologies
Innovation and Teaching Technologies Marta Peris-Ortiz Fernando J. Garrigós-Simón Ignacio Gil Pechuán Editors Innovation and Teaching Technologies New Directions in Research, Practice and Policy Editors
More informationUrban Wildlife Conservation
Urban Wildlife Conservation Robert A. McCleery Christopher E. Moorman M. Nils Peterson Editors Urban Wildlife Conservation Theory and Practice 1 3 Editors Robert A. McCleery Department of Wildlife Ecology
More informationPHYSICAL TESTING OF RUBBER
PHYSICAL TESTING OF RUBBER PHYSICAL TESTING OF RUBBER Roger Brown Springer Library of Congress Cataloging-in-Publication Data A CLP. Catalogue record for this book is available from the Library of Congress.
More informationFundamentals of the Average Case Analysis of Particular Algorithms
Fundamentals of the Average Case Analysis of Particular Algorithms Wiley-Teubner Series in Computer Science Editorial Board Günter Hotz Universität des Saarlandes. Fachbereich Angewandte Mathematik und
More informationNETWORK INFRASTRUCTURE SECURITY
NETWORK INFRASTRUCTURE SECURITY Network Infrastructure Security Angus Wong Alan Yeung Angus Wong Macao Polytechnic Institute Rua de Luis Gonzaga Gomes Macao Alan Yeung City University of Hong Kong 83 Tat
More informationAmmonia. Catalysis and Manufacture. Springer-Verlag. Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona Budapest
Ammonia Catalysis and Manufacture With contributions by K. Aika, L. 1. Christiansen, I. Dybkjaer, 1. B. Hansen, P. E. H0jlund Nielsen, A. Nielsen, P. Stoltze, K. Tamaru With 68 Figures and 23 Tables Springer-Verlag
More informationSTEWARDSHIP ETHICS IN DEBT MANAGEMENT
STEWARDSHIP ETHICS IN DEBT MANAGEMENT Issues in Business Ethics VOLUME 12 Series Editors Henk van Luijk, Nijenrode, Netherlands of Business, Breukelen, The Netherlands Patricia Werhane, University of Virginia,
More informationNew Frontiers in Entrepreneurship
New Frontiers in Entrepreneurship International Studies In Entrepreneurship Series Editors: Zoltan J. Acs Geroge Manson University Fairfox, VA, USA David B. Audretsch Indiana University Bloomington, IN,
More informationTHE EUROPEAN DIFFERENCE. Business Ethics in the Community of European Management Schools
THE EUROPEAN DIFFERENCE Business Ethics in the Community of European Management Schools THE EUROPEAN DIFFERENCE Business Ethics in the Community of European Management Schools edited by LAsZL6 ZSOLNAI
More informationDesign of Flexible Production Systems
Design of Flexible Production Systems Tullio Tolio (Ed.) Design of Flexible Production Systems Methodologies and Tools 13 Professor Tullio Tolio Politecnico di Milano Dipartimento di Meccanica Via La Masa
More informationIntegrated Series in Information Systems 36
Integrated Series in Information Systems 36 Series Editors: Ramesh Sharda Stefan Voß Shan Suthaharan Machine Learning Models and Algorithms for Big Data Classification Thinking with Examples for Effective
More informationCurriculum Vitae. Fulvio Pegoraro
Curriculum Vitae Fulvio Pegoraro Banque de France Financial Economics Research Service (DGEI-DEMFI-RECFIN) 31, rue Croix des Petits Champs; 41-1391 75049 Paris Cedex 01 Tel : 00.33.(0)1.42.92.91.67 Fax
More informationMicrosoft Dynamics CRM API Development for Online and On-Premise Environments
Microsoft Dynamics CRM API Development for Online and On-Premise Environments Mark Beckner Triston Arisawa Microsoft Dynamics CRM API Development for Online and On-Premise Environments Copyright 2013 by
More informationControl Systems with Actuator Saturation
Control Systems with Actuator Saturation Analysis and Design Tingshu Hu Zongli Lin With 67 Figures Birkhauser Boston Basel Berlin Preface xiii 1 Introduction 1 1.1 Linear Systems with Actuator Saturation
More informationData Analysis in Management with SPSS Software
Data Analysis in Management with SPSS Software J.P. Verma Data Analysis in Management with SPSS Software J.P. Verma Research and Advanced Studies Lakshmibai National University of Physical Education Gwalior,
More informationDiscussion on the paper Hypotheses testing by convex optimization by A. Goldenschluger, A. Juditsky and A. Nemirovski.
Discussion on the paper Hypotheses testing by convex optimization by A. Goldenschluger, A. Juditsky and A. Nemirovski. Fabienne Comte, Celine Duval, Valentine Genon-Catalot To cite this version: Fabienne
More informationLecture Notes in Mathematics 2006. Editors: J.-M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris
Lecture Notes in Mathematics 2006 Editors: J.-M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris Catherine Donati-Martin Antoine Lejay Alain Rouault (Eds.) Séminaire de Probabilités XLIII 123 Editors
More informationWald s Identity. by Jeffery Hein. Dartmouth College, Math 100
Wald s Identity by Jeffery Hein Dartmouth College, Math 100 1. Introduction Given random variables X 1, X 2, X 3,... with common finite mean and a stopping rule τ which may depend upon the given sequence,
More informationJOIN CNRS. www.cnrs.fr BECOME A CNRS RESEARCHER OR RESEARCH ENGINEER JANUARY 2007 CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE
JANUARY 2007 www.cnrs.fr JOIN CNRS BECOME A CNRS RESEARCHER OR RESEARCH ENGINEER THIS LEAFLET IS PUBLISHED BY DIRCOM-CNRS / GRAPHIC DESIGN & LAYOUT: SARAH LANDEL / TRANSLATION MANAGER: AIMÉE BARTOSIK /
More informationComplications in Endodontic Surgery
Complications in Endodontic Surgery Igor Tsesis Editor Complications in Endodontic Surgery Prevention, Identification and Management Editor Igor Tsesis, DMD Department of Endodontology Maurice and Gabriela
More informationStudies in the Economics of Uncertainty
Studies in the Economics of Uncertainty Josef Hadar Thomas B. Fomby Tae Kun Sea Editors Studies in the Economics of Uncertainty In Honor of Josef Hadar With 25 Illustrations Springer Verlag New York Berlin
More informationThe South Texas Health Status Review
The South Texas Health Status Review Amelie G. Ramirez Ian M. Thompson Leonel Vela Editors The South Texas Health Status Review A Health Disparities Roadmap Editors Amelie G. Ramirez Institute for Health
More informationProduction Systems and Supply Chain Management in Emerging Countries: Best Practices
Production Systems and Supply Chain Management in Emerging Countries: Best Practices . Gonzalo Mejía Nubia Velasco Editors Production Systems and Supply Chain Management in Emerging Countries: Best Practices
More informationEssential Sports Medicine
Essential Sports Medicine Essential Sports Medicine Joseph E. Herrera Editor Department of Rehabilitation Medicine, Interventional Spine and Sports, Mount Sinai Medical Center Grant Cooper Editor New York
More informationCurriculum vitae. July 2007 present Professor of Mathematics (W3), Technische
Peter Bank Institut für Mathematik, Sekr. MA 7-1 Straße des 17. Juni 136 10623 Berlin Germany Tel.: +49 (30) 314-22816 Fax.: +49 (30) 314-24413 e-mail: bank@math.tu-berlin.edu URL: www.math.tu-berlin.de/
More informationAnthropogenic Geomorphology
Anthropogenic Geomorphology József Szabó Lóránt Dávid Dénes Lóczy Editors Anthropogenic Geomorphology A Guide to Man-Made Landforms 123 Editors József Szabó Department of Physical Geography and Geoinformatics
More informationThe History of Human Resource Development
The History of Human Resource Development The History of Human Resource Development Understanding the Unexplored Philosophies, Theories, a nd Methodologies Matthew W. Gosney and Claretha Hughes THE HISTORY
More informationAdvanced Business Analytics
Advanced Business Analytics ThiS is a FM Blank Page Fausto Pedro García Márquez Benjamin Lev Editors Advanced Business Analytics Editors Fausto Pedro García Márquez ETSI Industriales de Ciudad Real University
More informationStephane Crepey. Financial Modeling. A Backward Stochastic Differential Equations Perspective. 4y Springer
Stephane Crepey Financial Modeling A Backward Stochastic Differential Equations Perspective 4y Springer Part I An Introductory Course in Stochastic Processes 1 Some Classes of Discrete-Time Stochastic
More informationMarketing Analytics. Methods, Metrics, and Tools. Jerry Rackley
Marketing Analytics Roadmap Methods, Metrics, and Tools Jerry Rackley Marketing Analytics Roadmap: Methods, Metrics, and Tools Copyright 2015 by Jerry Rackley This work is subject to copyright. All rights
More informationEssays in Financial Mathematics
Essays in Financial Mathematics Essays in Financial Mathematics Kristoffer Lindensjö Dissertation for the Degree of Doctor of Philosophy, Ph.D. Stockholm School of Economics, 2013. Dissertation title:
More informationInjection Procedures
Injection Procedures wwww Todd P. Stitik Editor Injection Procedures Osteoarthritis and Related Conditions Editor Todd P. Stitik Professor, Physical Medicine and Rehabilitation Co-Director, Musculoskeletal/Pain
More informationFREE SOFTWARE LICENSING AGREEMENT CeCILL
FREE SOFTWARE LICENSING AGREEMENT CeCILL Notice This Agreement is a free software license that is the result of discussions between its authors in order to ensure compliance with the two main principles
More informationFanny Dos Reis. Visiting Assistant Professor, Texas A&M University. September 2006 - May 2008
Fanny Dos Reis Positions Held Visiting Assistant Professor, Texas A&M University. September 2006 - May 2008 Visiting Assistant Professor, University of Lille 1, France. September 2004 - August 2006 Visiting
More informationRF SYSTEM DESIGN OF TRANSCEIVERS FOR WIRELESS COMMUNICATIONS
RF SYSTEM DESIGN OF TRANSCEIVERS FOR WIRELESS COMMUNICATIONS RF SYSTEM DESIGN OF TRANSCEIVERS FOR WIRELESS COMMUNICATIONS Qizheng Gu Nokia Mobile Phones, Inc. Q - Springer Gu, Qizheng, 1936- RF system
More informationIntegrated Reservoir Asset Management
Integrated Reservoir Asset Management Integrated Reservoir Asset Management Principles and Best Practices John R. Fanchi AMSTERDAM. BOSTON. HEIDELBERG. LONDON NEW YORK. OXFORD. PARIS. SAN DIEGO SAN FRANCISCO.
More informationAdvances in Stochastic Models for Reliability, Quality and Safety
Advances in Stochastic Models for Reliability, Quality and Safety Waltraud Kahle Elart von Collani Jürgen Franz Uwe Jensen Editors Birkhäuser Boston Basel Berlin Preface List of Contributors List of Tables
More informationDESIGNING ORGANIZATIONS
DESIGNING ORGANIZATIONS Information and Organization Design Series series editors Børge Obel ORGANIZATIONAL LEARNING: Creating, Retaining and Transferring Knowledge, by Linda Argote STRATEGIC ORGANIZATIONAL
More informationThis page intentionally left blank
Ribbon Culture This page intentionally left blank Ribbon Culture Charity, Compassion, and Public Awareness Sarah E.H. Moore School of Social Policy, Sociology and Social Research, University of Kent, UK
More informationEnergy Efficient Thermal Management of Data Centers
Energy Efficient Thermal Management of Data Centers Yogendra Joshi l Editors Pramod Kumar Energy Efficient Thermal Management of Data Centers Editors Yogendra Joshi G.W. Woodruff School of Mechanical
More informationABRY Patrice - Curriculum Vitae Personal Data Date and Place of Birth June, 16th, 1966, Bourg-en-Bresse, France,
ABRY Patrice - Curriculum Vitae Personal Data Date and Place of Birth June, 16th, 1966, Bourg-en-Bresse, France, Citizenship French, Marital Status married, one child, Adress/Phone 17, rue de Saint Cloud,
More informationMinkowski Sum of Polytopes Defined by Their Vertices
Minkowski Sum of Polytopes Defined by Their Vertices Vincent Delos, Denis Teissandier To cite this version: Vincent Delos, Denis Teissandier. Minkowski Sum of Polytopes Defined by Their Vertices. Journal
More informationCATHOLIC SCHOOLS PRIVATE AND SOCIAL EFFECTS
CATHOLIC SCHOOLS PRIVATE AND SOCIAL EFFECTS CATHOLIC SCHOOLS PRIVATE AND SOCIAL EFFECTS by William Sander DePaul University Department of Economics Chicago, Illinois Springer Science+Business Media, LLC
More informationYouth Gangs in International Perspective
Youth Gangs in International Perspective Finn-Aage Esbensen Editors Cheryl L. Maxson Youth Gangs in International Perspective Results from the Eurogang Program of Research Editors Finn-Aage Esbensen Department
More informationINVENTORY MANAGEMENT: Principles, Concepts and Techniques
INVENTORY MANAGEMENT: Principles, Concepts and Techniques Materials Management I Logistics Series Eugene L. Magad, Series Editor Previously vublished by Chavman & Hall Total Materials Management: Achieving
More informationSpatial Data on the Web
Spatial Data on the Web Alberto B elussi B arbara Catania Eliseo Clementini Elena F errari (Eds.) Spatial Data on the Web Modeling and Management With 111 F igures 123 Editors Alberto Belussi University
More informationCardiovascular Disease in AIDS
Cardiovascular Disease in AIDS Giuseppe Barbaro - Franck Boccara (Eds) Cardiovascular Disease in AIDS Foreword by W. Rozenbaum 1 3 GIUSEPPE BARBARO Department of Medical Pathophysiology University La Sapienza
More informationAvoiding Medical Malpractice. A Physician s Guide to the Law
Avoiding Medical Malpractice A Physician s Guide to the Law Avoiding Medical Malpractice A Physician s Guide to the Law William T. Choctaw, MD, JD William T. Choctaw, MD, JD Chief of Surgery, Citrus Valley
More informationMigrating to Swift from Web Development
Migrating to Swift from Web Development Sean Liao Mark Punak Migrating to Swift from Web Development Copyright 2015 by Sean Liao and Mark Punak This work is subject to copyright. All rights are reserved
More informationGoal Problems in Gambling and Game Theory. Bill Sudderth. School of Statistics University of Minnesota
Goal Problems in Gambling and Game Theory Bill Sudderth School of Statistics University of Minnesota 1 Three problems Maximizing the probability of reaching a goal. Maximizing the probability of reaching
More information2010-2013 Instructor for BS degree, Université Paris-Est Marne-la-Vallée. Courses: Algebra 2, Analysis 1, Calculus, methodology of mathematics.
Pierre Youssef Maître de conférences youssef@math.univ-paris-diderot.fr www.ualberta.ca/ pyoussef/webpage Research interests Random matrices and concentration inequalities, random graphs, asymptotic geometric
More informationLecture Notes in Computer Science 3161
Lecture Notes in Computer Science 3161 Commenced Publication in 1973 Founding and Former Series Editors: Gerhard Goos, Juris Hartmanis, and Jan van Leeuwen Editorial Board David Hutchison Lancaster University,
More informationMore information about this series at http://www.springer.com/series/4622
Power Systems More information about this series at http://www.springer.com/series/4622 Siddhartha Kumar Khaitan James D. McCalley Chen-Ching Liu Editors Cyber Physical Systems Approach to Smart Electric
More informationNumerical Methods for Fusion. Lectures SMF session (19-23 July): Research projects: Organizers:
CEMRACS 2010 Centre d Eté Mathématique de Recherche Avancée en Calcul Scientifique http://smai.emath.fr/cemracs/cemracs10/ Centre International de Rencontres Mathématiques (CIRM) Marseille, 19 July - 27
More information