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Pseudo-Regularly Varying Functions and Generalized Renewal Processes

de Valeriĭ V. Buldygin, Karl-Heinz Indlekofer, Oleg I. Klesov, Josef G. Steinebach ...

Series Libro 91 - Probability Theory and Stochastic Modelling
One of the main aims of this book is to exhibit some fruitful links between renewal theory and regular variation of functions. Applications of renewal processes play a key role in actuarial and financial mathematics as well as in engineering, operations research and other fields of applied mathematics. On the other hand, regular variation of functions is a property that features prominently in ... Leer más

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One of the main aims of this book is to exhibit some fruitful links between renewal theory and regular variation of functions. Applications of renewal processes play a key role in actuarial and financial mathematics as well as in engineering, operations research and other fields of applied mathematics. On the other hand, regular variation of functions is a property that features prominently in
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Open Quantum Systems

A Mathematical Perspective

Edición de Dorothea Bahns, Anke Pohl, Ingo Witt ...

Series series Tutorials, Schools, and Workshops in the Mathematical Sciences
This book presents four survey articles on various aspects of open quantum systems, specifically addressing quantum Markovian processes, Feller semigroups and nonequilibrium dynamics. The contributions are based on lectures given by distinguished experts at a summer school in Göttingen, Germany. Starting from basic notions, the authors of these lecture notes accompany the reader on a journey up to ... Leer más

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This book presents four survey articles on various aspects of open quantum systems, specifically addressing quantum Markovian processes, Feller semigroups and nonequilibrium dynamics. The contributions are based on lectures given by distinguished experts at a summer school in Göttingen, Germany. Starting from basic notions, the authors of these lecture notes accompany the reader on a journey up to
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Molecular Storms

The Physics of Stars, Cells and the Origin of Life

de Liam Graham ...

Series series Physics and Astronomy (R0)
“Following in the footsteps of Stephen Hawking's ‘A brief history of time’ and Simon Singh's ‘Fermat’s Last Theorem’ this exceptionally accessible book will you leave marveling at the wonders of the world and, if you didn't listen to your science teachers, wishing you had. Graham writes with the mind of a physicist and the soul of a poet.”Nicki Hayes, CCO, The Communications Practice, author of ... Leer más

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“Following in the footsteps of Stephen Hawking's ‘A brief history of time’ and Simon Singh's ‘Fermat’s Last Theorem’ this exceptionally accessible book will you leave marveling at the wonders of the world and, if you didn't listen to your science teachers, wishing you had. Graham writes with the mind of a physicist and the soul of a poet.”Nicki Hayes, CCO, The Communications Practice, author of
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An Introduction to Probability

With MATHEMATICA®

de Edward P C Kao ...

This edition covers the standard materials to be expected in a course from a calculus-based course in probability. A new chapter is added to cover exchangeability, embedding, and Monte Carlo simulation.Contents:Preface to the First EditionPreface to the Second EditionNotations and AbbreviationsPermutation and CombinationAxioms of ProbabilityConditional ProbabilityRandom VariablesDis... ... Leer más

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This edition covers the standard materials to be expected in a course from a calculus-based course in probability. A new chapter is added to cover exchangeability, embedding, and Monte Carlo simulation.Contents:Preface to the First EditionPreface to the Second EditionNotations and AbbreviationsPermutation and CombinationAxioms of ProbabilityConditional ProbabilityRandom VariablesDis...
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Fundamentals of Matrix-Analytic Methods

de Qi-Ming He ...

Fundamentals of Matrix-Analytic Methods targets advanced-level students in mathematics, engineering and computer science. It focuses on the fundamental parts of Matrix-Analytic Methods, Phase-Type Distributions, Markovian arrival processes and Structured Markov chains and matrix geometric solutions.New materials and techniques are presented for the first time in research and engineering design. ... Leer más

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Fundamentals of Matrix-Analytic Methods targets advanced-level students in mathematics, engineering and computer science. It focuses on the fundamental parts of Matrix-Analytic Methods, Phase-Type Distributions, Markovian arrival processes and Structured Markov chains and matrix geometric solutions.New materials and techniques are presented for the first time in research and engineering design.
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Earthquake Hazard and Risk

Edición de Vladimír Schenk ...

Series Libro 6 - Advances in Natural and Technological Hazards Research
Earthquake Hazard and Risk is a book summarizing selected papers presented at the 27th General Assembly of the International Association of Seismology and Physics of the Earth's Interior (Wellington, January 1994).The papers, rigorously scrutinized by an international board of referees, cover some recent aspects of current research in earthquake hazard and seismic risk. They address the algorithms ... Leer más

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Earthquake Hazard and Risk is a book summarizing selected papers presented at the 27th General Assembly of the International Association of Seismology and Physics of the Earth's Interior (Wellington, January 1994).The papers, rigorously scrutinized by an international board of referees, cover some recent aspects of current research in earthquake hazard and seismic risk. They address the algorithms
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Genealogies Of Interacting Particle Systems

de Matthias Birkner, Rongfeng Sun, Jan M Swart ...

Series Libro 38 - Lecture Notes Series, Institute For Mathematical Sciences, National University Of Singapore
Interacting particle systems are Markov processes involving infinitely many interacting components. Since their introduction in the 1970s, researchers have found many applications in statistical physics and population biology. Genealogies, which follow the origin of the state of a site backwards in time, play an important role in their studies, especially for the biologically motivated systems.The ... Leer más

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Interacting particle systems are Markov processes involving infinitely many interacting components. Since their introduction in the 1970s, researchers have found many applications in statistical physics and population biology. Genealogies, which follow the origin of the state of a site backwards in time, play an important role in their studies, especially for the biologically motivated systems.The
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Mathematics of Two-Dimensional Turbulence

de Sergei Kuksin, Armen Shirikyan ...

Series Libro 194 - Cambridge Tracts in Mathematics
This book is dedicated to the mathematical study of two-dimensional statistical hydrodynamics and turbulence, described by the 2D Navier–Stokes system with a random force. The authors' main goal is to justify the statistical properties of a fluid's velocity field u(t,x) that physicists assume in their work. They rigorously prove that u(t,x) converges, as time grows, to a statistical equilibrium, ... Leer más

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This book is dedicated to the mathematical study of two-dimensional statistical hydrodynamics and turbulence, described by the 2D Navier–Stokes system with a random force. The authors' main goal is to justify the statistical properties of a fluid's velocity field u(t,x) that physicists assume in their work. They rigorously prove that u(t,x) converges, as time grows, to a statistical equilibrium,
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Elements Of Stochastic Dynamics

de Guo-qiang Cai, Weiqiu Zhu ...

Stochastic dynamics has been a subject of interest since the early 20th Century. Since then, much progress has been made in this field of study, and many modern applications for it have been found in fields such as physics, chemistry, biology, ecology, economy, finance, and many branches of engineering including Mechanical, Ocean, Civil, Bio, and Earthquake Engineering.Elements of Stochastic ... Leer más

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Stochastic dynamics has been a subject of interest since the early 20th Century. Since then, much progress has been made in this field of study, and many modern applications for it have been found in fields such as physics, chemistry, biology, ecology, economy, finance, and many branches of engineering including Mechanical, Ocean, Civil, Bio, and Earthquake Engineering.Elements of Stochastic
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Introduction To Stochastic Processes

de Mu-fa Chen, Yong-hua Mao ...

Series Libro 2 - World Scientific Series On Probability Theory And Its Applications
The objective of this book is to introduce the elements of stochastic processes in a rather concise manner where we present the two most important parts — Markov chains and stochastic analysis. The readers are led directly to the core of the main topics to be treated in the context. Further details and additional materials are left to a section containing abundant exercises for further reading and ... Leer más

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The objective of this book is to introduce the elements of stochastic processes in a rather concise manner where we present the two most important parts — Markov chains and stochastic analysis. The readers are led directly to the core of the main topics to be treated in the context. Further details and additional materials are left to a section containing abundant exercises for further reading and
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Discrete-Time Semi-Markov Random Evolutions and Their Applications

de Nikolaos Limnios, Anatoliy Swishchuk ...

Series series Mathematics and Statistics (R0)
This book extends the theory and applications of random evolutions to semi-Markov random media in discrete time, essentially focusing on semi-Markov chains as switching or driving processes. After giving the definitions of discrete-time semi-Markov chains and random evolutions, it presents the asymptotic theory in a functional setting, including weak convergence results in the series scheme, and ... Leer más

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This book extends the theory and applications of random evolutions to semi-Markov random media in discrete time, essentially focusing on semi-Markov chains as switching or driving processes. After giving the definitions of discrete-time semi-Markov chains and random evolutions, it presents the asymptotic theory in a functional setting, including weak convergence results in the series scheme, and
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Planar Maps, Random Walks and Circle Packing

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

de Asaf Nachmias ...

Series Libro 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 ... Leer más

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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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Markov Random Flights

de Alexander D. Kolesnik ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Markov Random Flights is the first systematic presentation of the theory of Markov random flights in the Euclidean spaces of different dimensions. Markov random flights is a stochastic dynamic system subject to the control of an external Poisson process and represented by the stochastic motion of a particle that moves at constant finite speed and changes its direction at random Poisson time ... Leer más

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Markov Random Flights is the first systematic presentation of the theory of Markov random flights in the Euclidean spaces of different dimensions. Markov random flights is a stochastic dynamic system subject to the control of an external Poisson process and represented by the stochastic motion of a particle that moves at constant finite speed and changes its direction at random Poisson time
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Stochastic Processes and Related Topics

Proceedings of the 12th Winter School, Siegmundsburg (Germany), February 27-March 4, 2000

Edición de Rainer Buckdahn, Hans J. Engelbert, Marc Yor ...

This volume comprises selected papers presented at the 12th Winter School on Stochastic Processes and their Applications, which was held in Siegmundsburg, Germany, in March 2000. The contents include Backward Stochastic Differential Equations; Semilinear PDE and SPDE; Arbitrage Theory; Credit Derivatives and Models for Correlated Defaults; Three In ... Leer más

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This volume comprises selected papers presented at the 12th Winter School on Stochastic Processes and their Applications, which was held in Siegmundsburg, Germany, in March 2000. The contents include Backward Stochastic Differential Equations; Semilinear PDE and SPDE; Arbitrage Theory; Credit Derivatives and Models for Correlated Defaults; Three In
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Übungen zu stochastischen Prozessen

de Simone Malacrida ...

In diesem Buch werden Übungen zu folgenden mathematischen Themen durchgeführt:Markov-Ketten und Markovsche stochastische Prozessezeitabhängige und zeitunabhängige stochastische ProzesseIrrfahrten und Brownsche BewegungAußerdem werden erste theoretische Hinweise gegeben, um die Durchführung der Übungen verständlich zu machen. ... Leer más

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In diesem Buch werden Übungen zu folgenden mathematischen Themen durchgeführt:Markov-Ketten und Markovsche stochastische Prozessezeitabhängige und zeitunabhängige stochastische ProzesseIrrfahrten und Brownsche BewegungAußerdem werden erste theoretische Hinweise gegeben, um die Durchführung der Übungen verständlich zu machen.
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Stochastic Analysis And Applications To Finance: Essays In Honour Of Jia-an Yan

de Tusheng Zhang, Xunyu Zhou ...

Series Libro 13 - Interdisciplinary Mathematical Sciences
This volume is a collection of solicited and refereed articles from distinguished researchers across the field of stochastic analysis and its application to finance. The articles represent new directions and newest developments in this exciting and fast growing area. The covered topics range from Markov processes, backward stochastic differential equations, stochastic partial differential ... Leer más

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This volume is a collection of solicited and refereed articles from distinguished researchers across the field of stochastic analysis and its application to finance. The articles represent new directions and newest developments in this exciting and fast growing area. The covered topics range from Markov processes, backward stochastic differential equations, stochastic partial differential
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Applied Stochastic Differential Equations

de Simo Särkkä, Arno Solin ...

Series Libro 10 - Institute of Mathematical Statistics Textbooks
Stochastic differential equations are differential equations whose solutions are stochastic processes. They exhibit appealing mathematical properties that are useful in modeling uncertainties and noisy phenomena in many disciplines. This book is motivated by applications of stochastic differential equations in target tracking and medical technology and, in particular, their use in methodologies ... Leer más

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Stochastic differential equations are differential equations whose solutions are stochastic processes. They exhibit appealing mathematical properties that are useful in modeling uncertainties and noisy phenomena in many disciplines. This book is motivated by applications of stochastic differential equations in target tracking and medical technology and, in particular, their use in methodologies
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Facets of Noise

Effects in Classical and Quantum Systems

de Debraj Das, Shamik Gupta ...

Series series Physics and Astronomy (R0)
This book provides a captivating journey through the realms of classical and quantum systems as it unravels the profound influence that noise may have on their static and dynamic properties. The first part of the book offers succinct yet enlightening discussions on foundational topics related to noise. The second part focuses on a variety of applications, where a diverse spectrum of noise effects ... Leer más

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This book provides a captivating journey through the realms of classical and quantum systems as it unravels the profound influence that noise may have on their static and dynamic properties. The first part of the book offers succinct yet enlightening discussions on foundational topics related to noise. The second part focuses on a variety of applications, where a diverse spectrum of noise effects
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Quantum Stochastics

de Mou-Hsiung Chang ...

Series Libro 37 - Cambridge Series in Statistical and Probabilistic Mathematics
The classical probability theory initiated by Kolmogorov and its quantum counterpart, pioneered by von Neumann, were created at about the same time in the 1930s, but development of the quantum theory has trailed far behind. Although highly appealing, the quantum theory has a steep learning curve, requiring tools from both probability and analysis and a facility for combining the two viewpoints. ... Leer más

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The classical probability theory initiated by Kolmogorov and its quantum counterpart, pioneered by von Neumann, were created at about the same time in the 1930s, but development of the quantum theory has trailed far behind. Although highly appealing, the quantum theory has a steep learning curve, requiring tools from both probability and analysis and a facility for combining the two viewpoints.
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Quantum Fields and Processes

A Combinatorial Approach

de John Gough, Joachim Kupsch ...

Series series Cambridge Studies in Advanced Mathematics
Wick ordering of creation and annihilation operators is of fundamental importance for computing averages and correlations in quantum field theory and, by extension, in the Hudson–Parthasarathy theory of quantum stochastic processes, quantum mechanics, stochastic processes, and probability. This book develops the unified combinatorial framework behind these examples, starting with the simplest ... Leer más

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Wick ordering of creation and annihilation operators is of fundamental importance for computing averages and correlations in quantum field theory and, by extension, in the Hudson–Parthasarathy theory of quantum stochastic processes, quantum mechanics, stochastic processes, and probability. This book develops the unified combinatorial framework behind these examples, starting with the simplest
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Stochastic Calculus for Finance

de Marek Capiński, Ekkehard Kopp, Janusz Traple ...

Series series Mastering Mathematical Finance
This book focuses specifically on the key results in stochastic processes that have become essential for finance practitioners to understand. The authors study the Wiener process and Itô integrals in some detail, with a focus on results needed for the Black–Scholes option pricing model. After developing the required martingale properties of this process, the construction of the integral and the ... Leer más

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This book focuses specifically on the key results in stochastic processes that have become essential for finance practitioners to understand. The authors study the Wiener process and Itô integrals in some detail, with a focus on results needed for the Black–Scholes option pricing model. After developing the required martingale properties of this process, the construction of the integral and the
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Stochastic Pdes And Modelling Of Multiscale Complex System

de Xiaopeng Chen, Yan Lv, Wei Wang ...

Series Libro 20 - Interdisciplinary Mathematical Sciences
This volume is devoted to original research results and survey articles reviewing recent developments in reduction for stochastic PDEs with multiscale as well as application to science and technology, and to present some future research direction. This volume includes a dozen chapters by leading experts in the area, with a broad audience in mind. It should be accessible to graduate students, ... Leer más

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This volume is devoted to original research results and survey articles reviewing recent developments in reduction for stochastic PDEs with multiscale as well as application to science and technology, and to present some future research direction. This volume includes a dozen chapters by leading experts in the area, with a broad audience in mind. It should be accessible to graduate students,
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Numerical Methods for Solving Discrete Event Systems

With Applications to Queueing Systems

de Winfried Grassmann, Javad Tavakoli ...

Series Libro 5 - CMS/CAIMS Books in Mathematics
This graduate textbook provides an alternative to discrete event simulation. It describes how to formulate discrete event systems, how to convert them into Markov chains, and how to calculate their transient and equilibrium probabilities. The most appropriate methods for finding these probabilities are described in some detail, and templates for efficient algorithms are provided. These algorithms ... Leer más

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This graduate textbook provides an alternative to discrete event simulation. It describes how to formulate discrete event systems, how to convert them into Markov chains, and how to calculate their transient and equilibrium probabilities. The most appropriate methods for finding these probabilities are described in some detail, and templates for efficient algorithms are provided. These algorithms
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Stochastic Neuron Models

de Lawrence M. Ward, Priscilla E. Greenwood ...

Series Libro 1.5 - Mathematical Biosciences Institute Lecture Series
This book describes a large number of open problems in the theory of stochastic neural systems, with the aim of enticing probabilists to work on them. This includes problems arising from stochastic models of individual neurons as well as those arising from stochastic models of the activities of small and large networks of interconnected neurons. The necessary neuroscience background to these ... Leer más

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This book describes a large number of open problems in the theory of stochastic neural systems, with the aim of enticing probabilists to work on them. This includes problems arising from stochastic models of individual neurons as well as those arising from stochastic models of the activities of small and large networks of interconnected neurons. The necessary neuroscience background to these
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eBooks de Probabilidad

Pseudo-Regularly Varying Functions and Generalized Renewal Processes

Open Quantum Systems

Molecular Storms

An Introduction to Probability

Fundamentals of Matrix-Analytic Methods

Earthquake Hazard and Risk

Genealogies Of Interacting Particle Systems

Mathematics of Two-Dimensional Turbulence

Elements Of Stochastic Dynamics

Introduction To Stochastic Processes

Discrete-Time Semi-Markov Random Evolutions and Their Applications

Planar Maps, Random Walks and Circle Packing

Markov Random Flights

Stochastic Processes and Related Topics

Übungen zu stochastischen Prozessen

Stochastic Analysis And Applications To Finance: Essays In Honour Of Jia-an Yan

Applied Stochastic Differential Equations

Facets of Noise

Quantum Stochastics

Quantum Fields and Processes

Stochastic Calculus for Finance

Stochastic Pdes And Modelling Of Multiscale Complex System

Numerical Methods for Solving Discrete Event Systems

Stochastic Neuron Models