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Decision Making under Deep Uncertainty

From Theory to Practice

Edited by Vincent A. W. J. Marchau, Warren E. Walker, Pieter J. T. M. Bloemen, Steven W. Popper ...

This open access book focuses on both the theory and practice associated with the tools and approaches for decisionmaking in the face of deep uncertainty. It explores approaches and tools supporting the design of strategic plans under deep uncertainty, and their testing in the real world, including barriers and enablers for their use in practice. The book broadens traditional approaches and tools ... Read more

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This open access book focuses on both the theory and practice associated with the tools and approaches for decisionmaking in the face of deep uncertainty. It explores approaches and tools supporting the design of strategic plans under deep uncertainty, and their testing in the real world, including barriers and enablers for their use in practice. The book broadens traditional approaches and tools
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Measure Theory, Probability, and Stochastic Processes

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Series series Mathematics and Statistics (R0)
This textbook introduces readers to the fundamental notions of modern probability theory. The only prerequisite is a working knowledge in real analysis. Highlighting the connections between martingales and Markov chains on one hand, and Brownian motion and harmonic functions on the other, this book provides an introduction to the rich interplay between probability and other areas of analysis ... Read more

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This textbook introduces readers to the fundamental notions of modern probability theory. The only prerequisite is a working knowledge in real analysis. Highlighting the connections between martingales and Markov chains on one hand, and Brownian motion and harmonic functions on the other, this book provides an introduction to the rich interplay between probability and other areas of analysis
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by Vigirdas Mackevicius ...

This book presents a short introduction to continuous-time financial models. An overview of the basics of stochastic analysis precedes a focus on the Black–Scholes and interest rate models. Other topics covered include self-financing strategies, option pricing, exotic options and risk-neutral probabilities. Vasicek, Cox−Ingersoll−Ross, and Heath–Jarrow–Morton interest rate models are also explored ... Read more

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This book presents a short introduction to continuous-time financial models. An overview of the basics of stochastic analysis precedes a focus on the Black–Scholes and interest rate models. Other topics covered include self-financing strategies, option pricing, exotic options and risk-neutral probabilities. Vasicek, Cox−Ingersoll−Ross, and Heath–Jarrow–Morton interest rate models are also explored
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Markov Renewal and Piecewise Deterministic Processes

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Series series Mathematics and Statistics (R0)
This book is aimed at researchers, graduate students and engineers who would like to be initiated to Piecewise Deterministic Markov Processes (PDMPs). A PDMP models a deterministic mechanism modified by jumps that occur at random times. The fields of applications are numerous : insurance and risk, biology, communication networks, dependability, supply management, etc.Indeed, the PDMPs studied so ... Read more

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This book is aimed at researchers, graduate students and engineers who would like to be initiated to Piecewise Deterministic Markov Processes (PDMPs). A PDMP models a deterministic mechanism modified by jumps that occur at random times. The fields of applications are numerous : insurance and risk, biology, communication networks, dependability, supply management, etc.Indeed, the PDMPs studied so
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Random Walk, Brownian Motion, and Martingales

by Rabi Bhattacharya, Edward C. Waymire ...

Series series Mathematics and Statistics (R0)
This textbook offers an approachable introduction to stochastic processes that explores the four pillars of random walk, branching processes, Brownian motion, and martingales. Building from simple examples, the authors focus on developing context and intuition before formalizing the theory of each topic. This inviting approach illuminates the key ideas and computations in the proofs, forming an ... Read more

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This textbook offers an approachable introduction to stochastic processes that explores the four pillars of random walk, branching processes, Brownian motion, and martingales. Building from simple examples, the authors focus on developing context and intuition before formalizing the theory of each topic. This inviting approach illuminates the key ideas and computations in the proofs, forming an
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Fractional Dynamics In Comb-like Structures

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Random walks often provide the underlying mesoscopic mechanism for transport phenomena in physics, chemistry and biology. In particular, anomalous transport in branched structures has attracted considerable attention. Combs are simple caricatures of various types of natural branched structures that belong to the category of loopless graphs. The comb model was introduced to understand anomalous ... Read more

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Random walks often provide the underlying mesoscopic mechanism for transport phenomena in physics, chemistry and biology. In particular, anomalous transport in branched structures has attracted considerable attention. Combs are simple caricatures of various types of natural branched structures that belong to the category of loopless graphs. The comb model was introduced to understand anomalous
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Stochastic Processes

by Richard F. Bass ...

Series Book 33 - Cambridge Series in Statistical and Probabilistic Mathematics
This comprehensive guide to stochastic processes gives a complete overview of the theory and addresses the most important applications. Pitched at a level accessible to beginning graduate students and researchers from applied disciplines, it is both a course book and a rich resource for individual readers. Subjects covered include Brownian motion, stochastic calculus, stochastic differential ... Read more

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This comprehensive guide to stochastic processes gives a complete overview of the theory and addresses the most important applications. Pitched at a level accessible to beginning graduate students and researchers from applied disciplines, it is both a course book and a rich resource for individual readers. Subjects covered include Brownian motion, stochastic calculus, stochastic differential
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Some Recent Advances In Mathematics And Statistics - Proceedings Of Statistics 2011 Canada/imst 2011-fim Xx

by Yogendra P Chaubey ...

This volume consists of a series of research papers presented at the conference Statistics 2011 Canada: 5th Canadian Conference in Applied Statistics held together with the 20th conference of the Forum for Interdisciplinary Mathematics titled, “Interdisciplinary Mathematical & Statistical Techniques”. These papers cover a wide range of topics from applications of Mathematics and Statistics such as ... Read more

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This volume consists of a series of research papers presented at the conference Statistics 2011 Canada: 5th Canadian Conference in Applied Statistics held together with the 20th conference of the Forum for Interdisciplinary Mathematics titled, “Interdisciplinary Mathematical & Statistical Techniques”. These papers cover a wide range of topics from applications of Mathematics and Statistics such as
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Mathematical Principles of the Internet, Volume 2

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Series series Chapman & Hall/CRC Computer and Information Science Series
This two-volume set on***Mathematical Principles of the Internet*** provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles.Volume 1 explores Internet engineering, while the supporting mathematics is ... Read more

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This two-volume set on***Mathematical Principles of the Internet*** provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles.Volume 1 explores Internet engineering, while the supporting mathematics is
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Introduction to Malliavin Calculus

by David Nualart, Eulalia Nualart ...

Series Book 9 - Institute of Mathematical Statistics Textbooks
This textbook offers a compact introductory course on Malliavin calculus, an active and powerful area of research. It covers recent applications, including density formulas, regularity of probability laws, central and non-central limit theorems for Gaussian functionals, convergence of densities and non-central limit theorems for the local time of Brownian motion. The book also includes a self ... Read more

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This textbook offers a compact introductory course on Malliavin calculus, an active and powerful area of research. It covers recent applications, including density formulas, regularity of probability laws, central and non-central limit theorems for Gaussian functionals, convergence of densities and non-central limit theorems for the local time of Brownian motion. The book also includes a self
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Advances on Theoretical and Methodological Aspects of Probability and Statistics

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At the International Indian Statistical Association Conference, held at McMaster University in Ontario, Canada, participants focused on advancements in theory and methodology of probability and statistics. This is one of two volumes containing invited papers from the meeting. The 32 chapters deal with different topics of interest, including stochastic processes and inference, distributions and
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Advances in Independent Component Analysis and Learning Machines

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In honour of Professor Erkki Oja, one of the pioneers of Independent Component Analysis (ICA), this book reviews key advances in the theory and application of ICA, as well as its influence on signal processing, pattern recognition, machine learning, and data mining. Examples of topics which have developed from the advances of ICA, which are covered in the book are: - A unifying probabilistic model ... Read more

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In honour of Professor Erkki Oja, one of the pioneers of Independent Component Analysis (ICA), this book reviews key advances in the theory and application of ICA, as well as its influence on signal processing, pattern recognition, machine learning, and data mining. Examples of topics which have developed from the advances of ICA, which are covered in the book are: - A unifying probabilistic model
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Dirichlet Forms Methods for Poisson Point Measures and Lévy Processes

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A simplified approach to Malliavin calculus adapted to Poisson random measures is developed and applied in this book. Called the “lent particle method” it is based on perturbation of the position of particles. Poisson random measures describe phenomena involving random jumps (for instance in mathematical finance) or the random distribution of particles (as in statistical physics). Thanks to the ... Read more

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A simplified approach to Malliavin calculus adapted to Poisson random measures is developed and applied in this book. Called the “lent particle method” it is based on perturbation of the position of particles. Poisson random measures describe phenomena involving random jumps (for instance in mathematical finance) or the random distribution of particles (as in statistical physics). Thanks to the
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Physical (A)Causality

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Series Book 192 - Fundamental Theories of Physics
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This open access book addresses the physical phenomenon of events that seem to occur spontaneously and without any known cause. These are to be contrasted with events that happen in a (pre-)determined, predictable, lawful, and causal way.All our knowledge is based on self-reflexive theorizing, as well as on operational means of empirical perception. Some of the questions that arise are the
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Probability Theory and Stochastic Processes

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The focus of this book is to understand the concepts of probability theory and stochastic processes and the techniques are exposed to analyze the situations arise from time to time in the academic and advanced fields of Science and Technology. It aims at acquainting the reader with the mainstream of present day of thinking. This book is useful for students at both the undergraduate and the post
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Computational Methods for Transition States and Pathways in Rare Events

by Shuting Gu ...

Based on the calculation of transition states and the identification of transition paths, this book aims to provide a comprehensive guide to understanding and simulating rare events.The author introduces both fundamental concepts of transition states and pathways and advanced computational techniques, focusing on Gentlest Ascent Dynamics (GAD) and its variants. In particular, she explores enhanced ... Read more

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Based on the calculation of transition states and the identification of transition paths, this book aims to provide a comprehensive guide to understanding and simulating rare events.The author introduces both fundamental concepts of transition states and pathways and advanced computational techniques, focusing on Gentlest Ascent Dynamics (GAD) and its variants. In particular, she explores enhanced
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Mathematics Of Open Quantum Systems, The: Dissipative And Non-unitary Representations And Quantum Measurements

by Konstantin A Makarov, Eduard R Tsekanovskii ...

This book presents new developments in the open quantum systems theory with emphasis on applications to the (frequent) measurement theory.In the first part of the book, the uniqueness theorems for the solutions to the restricted Weyl commutation relations braiding unitary groups and semi-groups of contractions are discussed. The major theme involves an intrinsic characterization of the simplest ... Read more

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This book presents new developments in the open quantum systems theory with emphasis on applications to the (frequent) measurement theory.In the first part of the book, the uniqueness theorems for the solutions to the restricted Weyl commutation relations braiding unitary groups and semi-groups of contractions are discussed. The major theme involves an intrinsic characterization of the simplest
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Survey Sampling Theory and Applications

by Raghunath Arnab ...

Survey Sampling Theory and Applications offers a comprehensive overview of survey sampling, including the basics of sampling theory and practice, as well as research-based topics and examples of emerging trends. The text is useful for basic and advanced survey sampling courses. Many other books available for graduate students do not contain material on recent developments in the area of survey ... Read more

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Survey Sampling Theory and Applications offers a comprehensive overview of survey sampling, including the basics of sampling theory and practice, as well as research-based topics and examples of emerging trends. The text is useful for basic and advanced survey sampling courses. Many other books available for graduate students do not contain material on recent developments in the area of survey
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Stochastics in Fluids

The 2023 Prague-Sum Workshop Lectures

Edited by Tomáš Bodnár, Giovanni P. Galdi, Šárka Nečasová ...

Series series Mathematics and Statistics (R0)
This volume presents state-of-the-art developments in theoretical and applied fluid mechanics. Chapters are based on lectures given at a workshop in the summer school "Stochastics in Fluids", held in Prague in August 2023. Readers will find a thorough analysis of current research topics, presented by leading experts in their respective fields. Specific topics covered include:Compressible Euler ... Read more

$903.19 HKD

This volume presents state-of-the-art developments in theoretical and applied fluid mechanics. Chapters are based on lectures given at a workshop in the summer school "Stochastics in Fluids", held in Prague in August 2023. Readers will find a thorough analysis of current research topics, presented by leading experts in their respective fields. Specific topics covered include:Compressible Euler
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Physik und Finanzen

by Volker Ziemann ...

Series series Life Science and Basic Disciplines (German Language)
Dieses Buch führt Physikstudenten in die Konzepte und Methoden der Finanzwissenschaft ein. Obwohl die Finanzwissenschaft als recht weit von der Physik entfernt wahrgenommen wird, teilt sie eine Reihe gemeinsamer Methoden und Ideen, die in der Regel mit Rauschen und Unsicherheiten zu tun haben. Durch die Gegenüberstellung der wichtigsten Methoden mit Anwendungen in der Physik und im Finanzwesen ... Read more

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Dieses Buch führt Physikstudenten in die Konzepte und Methoden der Finanzwissenschaft ein. Obwohl die Finanzwissenschaft als recht weit von der Physik entfernt wahrgenommen wird, teilt sie eine Reihe gemeinsamer Methoden und Ideen, die in der Regel mit Rauschen und Unsicherheiten zu tun haben. Durch die Gegenüberstellung der wichtigsten Methoden mit Anwendungen in der Physik und im Finanzwesen
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Stochastic Mechanics

The Unification of Quantum Mechanics with Brownian Motion

by Folkert Kuipers ...

Series series Physics and Astronomy (R0)
Stochastic mechanics is a theory that holds great promise in resolving the mathematical and interpretational issues encountered in the canonical and path integral formulations of quantum theories. It provides an equivalent formulation of quantum theories, but substantiates it with a mathematically rigorous stochastic interpretation by means of a stochastic quantization prescription.The book builds ... Read more

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Stochastic mechanics is a theory that holds great promise in resolving the mathematical and interpretational issues encountered in the canonical and path integral formulations of quantum theories. It provides an equivalent formulation of quantum theories, but substantiates it with a mathematically rigorous stochastic interpretation by means of a stochastic quantization prescription.The book builds
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Large Deviations Applied to Classical and Quantum Field Theory

by Harish Parthasarathy ...

This book deals with a variety of problems in Physics and Engineering where the large deviation principle of probability finds application. Large deviations is a branch of probability theory dealing with approximate computation of the probabilities of rare events.It contains applications of the LDP to pattern recognition problems like analysis of the performance of the EM algorithm for optimal ... Read more

$532.42 HKD

This book deals with a variety of problems in Physics and Engineering where the large deviation principle of probability finds application. Large deviations is a branch of probability theory dealing with approximate computation of the probabilities of rare events.It contains applications of the LDP to pattern recognition problems like analysis of the performance of the EM algorithm for optimal
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An Introduction to Computational Stochastic PDEs

by Gabriel J. Lord, Catherine E. Powell, Tony Shardlow ...

Series Book 50 - Cambridge Texts in Applied Mathematics
This book gives a comprehensive introduction to numerical methods and analysis of stochastic processes, random fields and stochastic differential equations, and offers graduate students and researchers powerful tools for understanding uncertainty quantification for risk analysis. Coverage includes traditional stochastic ODEs with white noise forcing, strong and weak approximation, and the multi ... Read more

$500.89 HKD

This book gives a comprehensive introduction to numerical methods and analysis of stochastic processes, random fields and stochastic differential equations, and offers graduate students and researchers powerful tools for understanding uncertainty quantification for risk analysis. Coverage includes traditional stochastic ODEs with white noise forcing, strong and weak approximation, and the multi
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Planar Maps, Random Walks and Circle Packing

École d'Été de Probabilités de Saint-Flour XLVIII - 2018

by Asaf Nachmias ...

Series Book 2243 - Lecture Notes in Mathematics
This open access book focuses on the interplay between random walks on planar maps and Koebe’s circle packing theorem. Further topics covered include electric networks, the He–Schramm theorem on infinite circle packings, uniform spanning trees of planar maps, local limits of finite planar maps and the almost sure recurrence of simple random walks on these limits. One of its main goals is to ... Read more

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This open access book focuses on the interplay between random walks on planar maps and Koebe’s circle packing theorem. Further topics covered include electric networks, the He–Schramm theorem on infinite circle packings, uniform spanning trees of planar maps, local limits of finite planar maps and the almost sure recurrence of simple random walks on these limits. One of its main goals is to
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Decision Making under Deep Uncertainty

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Fractional Dynamics In Comb-like Structures

Stochastic Processes

Some Recent Advances In Mathematics And Statistics - Proceedings Of Statistics 2011 Canada/imst 2011-fim Xx

Mathematical Principles of the Internet, Volume 2

Introduction to Malliavin Calculus

Advances on Theoretical and Methodological Aspects of Probability and Statistics

Advances in Independent Component Analysis and Learning Machines

Dirichlet Forms Methods for Poisson Point Measures and Lévy Processes

Physical (A)Causality

Probability Theory and Stochastic Processes

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Mathematics Of Open Quantum Systems, The: Dissipative And Non-unitary Representations And Quantum Measurements

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