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Bestseller
BestsellerE-book
Author Liao, Ming (Mathematician)

Title Lévy processes in Lie groups / Ming Liao.

Publication Info. Cambridge ; New York : Cambridge University Press, 2004.

Item Status

Description 1 online resource (x, 266 pages).
data file
Physical Medium polychrome
Series Cambridge tracts in mathematics ; 162
Cambridge tracts in mathematics ; 162.
Bibliography Includes bibliographical references and index.
Contents Cover Occupational Ergonomics Contents Preface by Elisabeth Lagerlof SIGNIFICANT ILL HEALTH PROBLEM NOT A NEW PROBLEM NIVA FOR EDUCATION AND TRAINING EUROPEAN COLLABORATION IMPORTANT A SUCCESSFUL COURSE Editors and contributors EDITORS CONTRIBUTORS Chapter 1 Methodological issues in epidemiologic studies of musculoskeletal disorders 1.1 INTRODUCTION 1.2 TYPES OF EPIDEMIOLOGIC STUDY 1.3 ETIOLOGIC AND PROGNOSTIC RESEARCH 1.4 MUSCULOSKELETAL DISORDER CASE ASCERTAINMENT 1.5 EXPOSURE ASSESSMENT 1.6 REFERENCES Chapter 2 Epidemiology of work-related back disorders 2.1 INTRODUCTION 2.2 WORK-RELATED RISK FACTORS OF LOW BACK PAIN 2.3 DISC DEGENERATION 2.4 REFERENCES Chapter 3 Epidemiology of neck and upper limb disorders and work place factors 3.1 WHY IS THE EPIDEMIOLOGY IMPORTANT? 3.2 WHAT ARE THE NECK AND UPPER LIMB DISORDERS? 3.3 WHAT ARE THE EXPOSURES TO BE CONSIDERED? 3.4 WHAT ARE THE EXPOSURE RESPONSE RELATIONSHIPS FOR NECK AND UPPER LIMB DISORDERS? 3.5 EXPOSURE RESPONSE RELATIONSHIP ACCORDING TO A NIOSH DOCUMENT ON MUSCULOSKELETAL DISORDERS AND WORKPLACE FACTORS 3.6 PSYCHOLOGICAL AND SOCIAL WORKPLACE FACTORS 3.7 CONTROVERSIES CONCERNING NECK AND UPPER LIMB DISORDERS AND WORKPLACE FACTORS 3.8 REFERENCES Chapter 4 Psychosocial factors at work in relation to musculoskeletal conditions 4.1 INTRODUCTION 4.2 OUTSIDE WORK FACTORS 4.3 PHYSICAL LOAD AND PSYCHOSOCIAL FACTORS 4.4 ADDITIONAL REASONS FOR CONTROVERSIES IN THE PSYCHOSOCIAL FIELD 4.5 EMPIRICAL ILLUSTRATIONS FROM RECENT STUDIES 4.6 JOB INTERVENTIONS 4.7 PSYCHOSOCIAL FACTORS IN REHABILITATION 4.8 CONCLUSIONS 4.9 REFERENCES Chapter 5 Analysis and Design of Jobs for Control of Work Related Musculoskeletal Disorders (WMSDs) 5.1 INTRODUCTION 5.2 ANALYSIS OF JOBS 5.3 DESIGN 5.4 SUMMARY 5.5 REFERENCES Chapter 6 The Psychophysical Approach to Risk Assessment in Work-Related Musculoskeletal Disorders 6.1 HISTORY OF PSYCHOPHYSICS 6.2 APPLICATION OF PSYCHOPHYSICS 6.3 CRITIQUE OF PSYCHOPHYSICS 6.4 REFERENCES Chapter 7 Health Disorders Caused by Occupational Exposure to Vibration 7.1 INTRODUCTION 7.2 WHOLE-BODY VIBRATION 7.3 HAND -- TRANSMITTED VIBRATION 7.4 ACKNOWLEDGEMENT 7.5 REFERENCES Chapter 8 Screening for Upper Extremity Musculoskeletal Disorders: Research and Practice 8.1 INTRODUCTION 8.2 BACKGROUND 8.3 EVALUATION OF SCREENING TOOLS 8.4 CONCLUSIONS AND RECOMMENDATIONS 8.5 REFERENCES Chapter 9 Surveillance for musculoskeletal problems 9.1 INTRODUCTION 9.2 WHAT IS SURVEILLANCE? 9.3 HAZARD VS. HEALTH SURVEILLANCE 9.4 PASSIVE AND ACTIVE SURVEILLANCE 9.5 GOALS OF SURVEILLANCE 9.6 REFERENCES Chapter 10 Case definition for upper limb disorders 10.1 INTRODUCTION 10.2 Disease and Medical Diagnosis 10.3 CASE DEFINITION OF WORK RELATED UPPER LIMB DISORDERS 10.4 CARPAL TUNNEL SYNDROME 10.5 TENDINITIS 10.6 A TENTATIVE PROTOCOL FOR ULTRA-SONOGRAPHIC DIAGNOSIS OF HAND WRIST TENDINITIS 10.7 REFERENCES Chapter 11 Back Risk Factors: An Overview 11.1 INTRODUCTION 11.2 LOW BACK PAIN 11.3 LOW BACK DISABILITY 11.4 SUMMARY 11.5 REFERENCES Chapter 12 Psychophysical Studies of Materials Handling 12.1 INTRODUCTION 12.2 PSYCHOPHYSICAL EXPERIMENTS 12.3 PSYCHOPHYSICAL TABLES 12.4 THE NIOSH LIFTING EQUATION 12.5 VALIDATION 12.6 REFERENCES Chapter 13 Biomechanical Models in High Exertion Manual Jobs 13.1.1 INTRODUCTION 13.1.2 WHY USE HUMAN SIMULATION TECHNOLOGY 13.1.3 BACKGROUND 13.2 OVERVIEW OF BIOMECHANICAL STRENGTH PREDICTION MODEL 13.3 CURRENT STATIC STRENGTH PREDICTION PROGRAM 13.4 SUMMARY 13.5 REFERENCES Chapter 14 Cost-Benefit of Ergonomics Improvements 14.1 MOTIVATING THE EMPLOYER 14.2 MEASURING THE COST OF PRODUCTIVITY 14.3 CONCLUSION 14.4 REFERENCES Chapter 15 Clinical Case Management and Rehabilitation of Workers with Upper Extremity Musculoskeletal Disorders 15.1 INTRODUCTION 15.2 BACKGROUND 15.3 THE MODEL S.
Summary The theory of Lévy processes in Lie groups is not merely an extension of the theory of Lévy processes in Euclidean spaces. Because of the unique structures possessed by non-commutative Lie groups, these processes exhibit certain interesting limiting properties which are not present for their counterparts in Euclidean spaces. These properties reveal a deep connection between the behaviour of the stochastic processes and the underlying algebraic and geometric structures of the Lie groups themselves. The purpose of this work is to provide an introduction to Lévy processes in general Lie groups, the limiting properties of Lévy processes in semi-simple Lie groups of non-compact type and the dynamical behavior of such processes as stochastic flows on certain homogeneous spaces. The reader is assumed to be familiar with Lie groups and stochastic analysis, but no prior knowledge of semi-simple Lie groups is required.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Lévy processes.
Lévy processes.
Lie groups.
Lie groups.
Genre/Form Electronic books.
Electronic books.
Other Form: Print version: Liao, Ming. Lévy processes in Lie groups. Cambridge ; New York : Cambridge University Press, 2004 (DLC) 2003066662
ISBN 0511196083 (electronic book)
9780511196089 (electronic book)
0511195427 (electronic book)
9780511195426 (electronic book)
9780511546624 (electronic book)
0511546629 (electronic book)
0511194048
9780511194047
0521836530
9780521836531