Matrix-analytic Methods in Stochastic Models

This comprehensive guide helps readers understand the theory and techniques needed to analyze and model radio wave propagation in complex environments. All of the essential topics are covered, from the fundamental concepts of radio systems, to complex propagation phenomena. These topics include diffraction, ray tracing, scattering, atmospheric ducting, ionospheric ducting, scintillation, and propagation through both urban and non-urban environments. Emphasis is placed on practical procedures, with detailed discussion of numerical and mathematical methods providing readers with the necessary skills to build their own propagation models and develop their own techniques. MATLAB functions illustrating key modeling ideas are provided online. This is an invaluable resource for anyone wanting to use propagation models to understand the performance of radio systems for navigation, radar, communications, or broadcasting.

The Zebrafish: Disease Models and Chemical Screens, Fourth Edition, the latest volume in the Methods in Cell Biology series, looks at methods for analyzing genetics, genomics, and transcriptomics of z

This detailed volume gathers basic and advanced methods and protocols from in vitro assays and in vivo models to address the molecular and functional aspects of tau physiopathology. Divided into five

This volume aims to provide a new perspective on the broader usage of Hidden Markov Models (HMMs) in biology. Hidden Markov Models: Methods and Protocols guides readers through chapters on biological

Stochastic systems provide powerful abstract models for a variety of important real-life applications: for example, power supply, traffic flow, data transmission. They (and the real systems they model) are often subject to phase transitions, behaving in one way when a parameter is below a certain critical value, then switching behaviour as soon as that critical value is reached. In a real system, we do not necessarily have control over all the parameter values, so it is important to know how to find critical points and to understand system behaviour near these points. This book is a modern presentation of the 'semimartingale' or 'Lyapunov function' method applied to near-critical stochastic systems, exemplified by non-homogeneous random walks. Applications treat near-critical stochastic systems and range across modern probability theory from stochastic billiards models to interacting particle systems. Spatially non-homogeneous random walks are explored in depth, as they provide prototy

The Complexity of Self Government represents a revolutionary approach to political science. Bottom-up theory turns political and social analysis upside down by focusing analytic attention not on vacuous abstractions but on the individual men and women who either consciously or inadvertently create the institutions within which they live. Understanding this practical level of human activity is made possible through complexity theory, recently developed in computer models, but of wider use in understanding everyday human behaviour. To this complexity framework, the book adds social science to give life and colour to the analytical picture: micro-sociology from Garfinkel and Goffman, anthropology from Bourdieu, and non-technical game theory based on Thomas Schelling's microanalytics, to give rigour and bite. Theoretical examples include India's Mumbai, Iran, the marshes of southern Iraq, Berlusconi's Italy, backcountry China, Zimbabwe, and Nelson Mandela's revolution in South Africa.

The constantly increasing demand for more computing power can seem impossible to keep up with. However, multicore processors capable of performing computations in parallel allow computers to tackle ever larger problems in a wide variety of applications. This book provides a comprehensive introduction to parallel computing, discussing theoretical issues such as the fundamentals of concurrent processes, models of parallel and distributed computing, and metrics for evaluating and comparing parallel algorithms, as well as practical issues, including methods of designing and implementing shared- and distributed-memory programs, and standards for parallel program implementation, in particular MPI and OpenMP interfaces. Each chapter presents the basics in one place followed by advanced topics, allowing novices and experienced practitioners to quickly find what they need. A glossary and more than 80 exercises with selected solutions aid comprehension. The book is recommended as a text for adva

The Complexity of Self Government represents a revolutionary approach to political science. Bottom-up theory turns political and social analysis upside down by focusing analytic attention not on vacuous abstractions but on the individual men and women who either consciously or inadvertently create the institutions within which they live. Understanding this practical level of human activity is made possible through complexity theory, recently developed in computer models, but of wider use in understanding everyday human behaviour. To this complexity framework, the book adds social science to give life and colour to the analytical picture: micro-sociology from Garfinkel and Goffman, anthropology from Bourdieu, and non-technical game theory based on Thomas Schelling's microanalytics, to give rigour and bite. Theoretical examples include India's Mumbai, Iran, the marshes of southern Iraq, Berlusconi's Italy, backcountry China, Zimbabwe, and Nelson Mandela's revolution in South Africa.

With over half of the world's population now living in urban areas, the ability to model and understand the structure and dynamics of cities is becoming increasingly valuable. Combining new data with tools and concepts from statistical physics and urban economics, this book presents a modern and interdisciplinary perspective on cities and urban systems. Both empirical observations and theoretical approaches are critically reviewed, with particular emphasis placed on derivations of classical models and results, along with analysis of their limits and validity. Key aspects of cities are thoroughly analyzed, including mobility patterns, the impact of multimodality, the coupling between different transportation modes, the evolution of infrastructure networks, spatial and social organisation, and interactions between cities. Drawing upon knowledge and methods from areas of mathematics, physics, economics and geography, the resulting quantitative description of cities will be of interest to

Why are some African countries trapped in vicious cycles of ethnic exclusion and civil war, while others experience relative peace? In this groundbreaking book, Philip Roessler addresses this question. Roessler models Africa's weak, ethnically-divided states as confronting rulers with a coup-civil war trap - sharing power with ethnic rivals is necessary to underwrite societal peace and prevent civil war, but increases rivals' capabilities to seize sovereign power in a coup d'état. How rulers respond to this strategic trade-off is shown to be a function of their country's ethnic geography and the distribution of threat capabilities it produces. Moving between in-depth case studies of Sudan and the Democratic Republic of the Congo based on years of field work and statistical analyses of powersharing, coups and civil war across sub-Saharan Africa, the book serves as an exemplar of the benefits of mixed methods research for theory-building and testing in comparative politics.

Why are some African countries trapped in vicious cycles of ethnic exclusion and civil war, while others experience relative peace? In this groundbreaking book, Philip Roessler addresses this question. Roessler models Africa's weak, ethnically-divided states as confronting rulers with a coup-civil war trap - sharing power with ethnic rivals is necessary to underwrite societal peace and prevent civil war, but increases rivals' capabilities to seize sovereign power in a coup d'état. How rulers respond to this strategic trade-off is shown to be a function of their country's ethnic geography and the distribution of threat capabilities it produces. Moving between in-depth case studies of Sudan and the Democratic Republic of the Congo based on years of field work and statistical analyses of powersharing, coups and civil war across sub-Saharan Africa, the book serves as an exemplar of the benefits of mixed methods research for theory-building and testing in comparative politics.

New Methods of Teaching and Learning: A Handbook for Librarians is a one-stop introduction to the role of technology in teaching and learning in libraries. Emerging models of library instruction and l

New Methods of Teaching and Learning: A Handbook for Librarians is a one-stop introduction to the role of technology in teaching and learning in libraries. Emerging models of library instruction and l

The aim of these lecture notes is to give an introduction to several mathematical models and methods that can be used to describe the behaviour of living systems. This emerging field of application in

Infinitary logic, the logic of languages with infinitely long conjunctions, plays an important role in model theory, recursion theory and descriptive set theory. This book is the first modern introduction to the subject in forty years, and will bring students and researchers in all areas of mathematical logic up to the threshold of modern research. The classical topics of back-and-forth systems, model existence techniques, indiscernibles and end extensions are covered before more modern topics are surveyed. Zilber's categoricity theorem for quasiminimal excellent classes is proved and an application is given to covers of multiplicative groups. Infinitary methods are also used to study uncountable models of counterexamples to Vaught's conjecture, and effective aspects of infinitary model theory are reviewed, including an introduction to Montalbán's recent work on spectra of Vaught counterexamples. Self-contained introductions to effective descriptive set theory and hyperarithmetic theor

Quantitative Methods in Reservoir Engineering, Second Edition, brings together the critical aspects of the industry to create more accurate models and better financial forecasts for oil and gas assets

This report examines the debate about the Islamic State in Iraq and Syria (ISIS) on Arabic Twitter and uses a mixed-methods analytic approach to identify and characterize in detail the Twitter network

This book offers a systematic exposition of conformal methods and how they can be used to study the global properties of solutions to the equations of Einstein's theory of gravity. It shows that combining these ideas with differential geometry can elucidate the existence and stability of the basic solutions of the theory. Introducing the differential geometric, spinorial and PDE background required to gain a deep understanding of conformal methods, this text provides an accessible account of key results in mathematical relativity over the last thirty years, including the stability of de Sitter and Minkowski spacetimes. For graduate students and researchers, this self-contained account includes useful visual models to help the reader grasp abstract concepts and a list of further reading, making this the perfect reference companion on the topic.

Combustion is a fascinating phenomenon coupling complex chemistry to transport mechanisms and nonlinear fluid dynamics. This book provides an up-to-date and comprehensive presentation of the nonlinear dynamics of combustion waves and other non-equilibrium energetic systems. The major advances in this field have resulted from analytical studies of simplified models performed in close relation with carefully controlled laboratory experiments. The key to understanding the complex phenomena is a systematic reduction of the complexity of the basic equations. Focusing on this fundamental approach, the book is split into three parts. Part I provides physical insights for physics-oriented readers, Part II presents detailed technical analysis using perturbation methods for theoreticians, and Part III recalls the necessary background knowledge in physics, chemistry and fluid dynamics. This structure makes the content accessible to newcomers to the physics of unstable fronts in flows, whilst also

This book reviews cutting-edge developments in neural signalling processing (NSP), systematically introducing readers to various models and methods in the context of NSP.Neuronal Signal Processing is

The Data and Analytics Playbook: Proven Methods for Governed Data and Analytic Quality explores the way in which data continues to dominate budgets, along with the varying efforts made across a variet

Changes in the shape of the yield curve have traditionally been one of the key macroeconomic indicators of a likely change in economic outlook. However, the recent financial crises have created a challenge to the management of monetary policy, demanding a revision in the way that policymakers model expected changes in the economy. This volume brings together central bank economists and leading academic monetary economists to propose new methods for modelling the behaviour of interest rates. Topics covered include: the analysis and extraction of expectations of future monetary policy and inflation; the analysis of the short-term dynamics of money market interest rates; the reliability of existing models in periods of extreme market volatility and how to adjust them accordingly; and the role of government debt and deficits in affecting sovereign bond yields and spreads. This book will interest financial researchers and practitioners as well as academic and central bank economists.

In this book three main aspects are considered together: mathematical models for engineering systems reliability, the main concepts for technogeneous risk study, and insurance as methods for risks man

This handbook covers established and advanced techniques for biomarker analysis, such as guidelines and strategies for assay validation methods; different mathematical models that are necessary in con

This monograph presents methods for time domain wave propagation problems. It also describes how to implement them in physical models. Highlights include the construction of 3D finite elements on non

This book deals with methods to evaluate scientific productivity. In the book statistical methods, deterministic and stochastic models and numerous indexes are discussed that will help the reader to u

This report serves as the technical documentation and reference document for the data, methods, and analytic approach used in the analysis of national exposures to infrastructure from natural disaster

The present book provides an enterprise-wide guide for anyone interested in pursuing analytic methods in order to compete effectively. It supplements more general texts on statistics and data mining b

This is the fourth, newly revised edition of the classical introduction to the mathematics of finance, based on stochastic models in discrete time. In the first part of the book simple one-period mode

This volume presents methods and techniques to study oogenesis in a broad range of organisms, from plants to mammals.Oogenesis: Methods and Protocols guides readers through protocols on models of deve

Quantal Response Equilibrium presents a stochastic theory of games that unites probabilistic choice models developed in psychology and statistics with the Nash equilibrium approach of classical game t

The goal is to offer an introductory book on Monte-Carlo methods applied to stochastic processes, starting from the standard case and going to the most recent models, which will appeal to a wide audie

This book describes the methods and numerical approaches for data assimilation in geodynamical models and presents several applications of the described methodology in relevant case studies. The book

Multilayer networks, in particular multilayer social networks, where users belong to and interact on different networks at the same time, are an active research area in social network analysis, computer science, and physics. These networks have traditionally been studied within these separate research communities, leading to the development of several independent models and methods to deal with the same set of problems. This book unifies and consolidates existing practical and theoretical knowledge on multilayer networks including data collection and analysis, modeling, and mining of multilayer social network systems, the evolution of interconnected social networks, and dynamic processes such as information spreading. A single real dataset is used to illustrate the concepts presented throughout the book, demonstrating both the practical utility and the potential shortcomings of the various methods. Researchers from all areas of network analysis will learn new aspects and future directi

Multilayer networks, in particular multilayer social networks, where users belong to and interact on different networks at the same time, are an active research area in social network analysis, computer science, and physics. These networks have traditionally been studied within these separate research communities, leading to the development of several independent models and methods to deal with the same set of problems. This book unifies and consolidates existing practical and theoretical knowledge on multilayer networks including data collection and analysis, modeling, and mining of multilayer social network systems, the evolution of interconnected social networks, and dynamic processes such as information spreading. A single real dataset is used to illustrate the concepts presented throughout the book, demonstrating both the practical utility and the potential shortcomings of the various methods. Researchers from all areas of network analysis will learn new aspects and future directi

Forecasting Urban Travel presents in a non-mathematical way the evolution of methods, models and theories underpinning travel forecasts and policy analysis, from the early urban transportation studies

This volume provides in-depth, step-by-step coverage of the most common matrix methods now used in statistical applications, including eigenvalues and eigenvectors; the Moore-Penrose inverse; matrix d

Many problems in biology require an understanding of the relationships among variables in a multivariate causal context. Exploring such cause-effect relationships through a series of statistical methods, this book explains how to test causal hypotheses when randomised experiments cannot be performed. This completely revised and updated edition features detailed explanations for carrying out statistical methods using the popular and freely available R statistical language. Sections on d-sep tests, latent constructs that are common in biology, missing values, phylogenetic constraints, and multilevel models are also an important feature of this new edition. Written for biologists and using a minimum of statistical jargon, the concept of testing multivariate causal hypotheses using structural equations and path analysis is demystified. Assuming only a basic understanding of statistical analysis, this new edition is a valuable resource for both students and practising biologists.

This wide-ranging comparative account of the legal regimes for controlling administrative power in England, the USA and Australia argues that differences and similarities between control regimes may be partly explained by the constitutional structures of the systems of government in which they are embedded. It applies social-scientific and historical methods to the comparative study of law and legal systems in a novel and innovative way, and combines accounts of long-term and large-scale patterns of power distribution with detailed analysis of features of administrative law and the administrative justice systems of three jurisdictions. It also proposes a new method of analysing systems of government based on two different models of the distribution of public power (diffusion and concentration), a model which proves more illuminating than traditional separation-of-powers analysis.

State-space models are a very flexible class of models used primarily in time series analysis. This book provides a synthesis of recent research in this area, with modern methods and computational gui