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Recommended For You

Special Functions of Fractional Calculus

Applications to Diffusion and Random Search Processes

by Trifce Sandev, Alexander Iomin ...

This book aims to provide an overview of the special functions of fractional calculus and their applications in diffusion and random search processes. The book contains detailed calculations for various examples of anomalous diffusion, random search and stochastic resetting processes, which can be easily followed by the reader, who will be able to reproduce the obtained results. The book will be ... Read more

RM 275.29

This book aims to provide an overview of the special functions of fractional calculus and their applications in diffusion and random search processes. The book contains detailed calculations for various examples of anomalous diffusion, random search and stochastic resetting processes, which can be easily followed by the reader, who will be able to reproduce the obtained results. The book will be
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Inequalities In Analysis And Probability (Second Edition)

by Odile Pons ...

The book is aimed at graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vector and functional spaces with applications to probability. It also develops new extensions of the analytical inequalities, with sharper bounds and generalizations to the sum or the supremum of random variables, to martingales and to ... Read more

RM 310.59

The book is aimed at graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vector and functional spaces with applications to probability. It also develops new extensions of the analytical inequalities, with sharper bounds and generalizations to the sum or the supremum of random variables, to martingales and to
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Probabilistic Methods in Telecommunications

by Benedikt Jahnel, Wolfgang König ...

Series series Compact Textbooks in Mathematics
Probabilistic modeling and analysis of spatial telecommunication systems have never been more important than they are today. In particular, it is an essential research area for designing and developing next-generation communication networks that are based on multihop message transmission technology. These lecture notes provide valuable insights into the underlying mathematical discipline, ... Read more

RM 209.59

Probabilistic modeling and analysis of spatial telecommunication systems have never been more important than they are today. In particular, it is an essential research area for designing and developing next-generation communication networks that are based on multihop message transmission technology. These lecture notes provide valuable insights into the underlying mathematical discipline,
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Two-dimensional Product Cubic Systems, Vol. VII

Self- Quadratic Vector Fields

by Albert C. J. Luo ...

This book is the seventh of 15 related monographs, concerns nonlinear dynamics and singularity of cubic dynamical systems possessing a product-cubic vector field and a self-univariate quadratic vector field. The equilibrium singularity and bifurcation dynamics are discussed. The saddle-source (sink) is the appearing bifurcations for saddle and source (sink). The double-saddle equilibriums are the ... Read more

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This book is the seventh of 15 related monographs, concerns nonlinear dynamics and singularity of cubic dynamical systems possessing a product-cubic vector field and a self-univariate quadratic vector field. The equilibrium singularity and bifurcation dynamics are discussed. The saddle-source (sink) is the appearing bifurcations for saddle and source (sink). The double-saddle equilibriums are the
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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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Mathematical Modeling And Computation In Finance: With Exercises And Python And Matlab Computer Codes

by Cornelis W Oosterlee, Lech A Grzelak ...

This book discusses the interplay of stochastics (applied probability theory) and numerical analysis in the field of quantitative finance. The stochastic models, numerical valuation techniques, computational aspects, financial products, and risk management applications presented will enable readers to progress in the challenging field of computational finance.When the behavior of financial market ... Read more

RM 162.39

This book discusses the interplay of stochastics (applied probability theory) and numerical analysis in the field of quantitative finance. The stochastic models, numerical valuation techniques, computational aspects, financial products, and risk management applications presented will enable readers to progress in the challenging field of computational finance.When the behavior of financial market
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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

RM 170.39

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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Applied Stochastic Differential Equations

by Simo Särkkä, Arno Solin ...

Series Book 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 ... Read more

RM 170.39

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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An Introduction to Anomalous Diffusion and Relaxation

by Luiz Roberto Evangelista, Ervin Kaminski Lenzi ...

Series series Physics and Astronomy (R0)
This book provides a contemporary treatment of the problems related to anomalous diffusion and anomalous relaxation. It collects and promotes unprecedented applications dealing with diffusion problems and surface effects, adsorption-desorption phenomena, memory effects, reaction-diffusion equations, and relaxation in constrained structures of classical and quantum processes. The topics covered by ... Read more

RM 251.59

This book provides a contemporary treatment of the problems related to anomalous diffusion and anomalous relaxation. It collects and promotes unprecedented applications dealing with diffusion problems and surface effects, adsorption-desorption phenomena, memory effects, reaction-diffusion equations, and relaxation in constrained structures of classical and quantum processes. The topics covered by
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Introduction to Hidden Semi-Markov Models

by John van der Hoek, Robert J. Elliott ...

Series Book 445 - London Mathematical Society Lecture Note Series
Markov chains and hidden Markov chains have applications in many areas of engineering and genomics. This book provides a basic introduction to the subject by first developing the theory of Markov processes in an elementary discrete time, finite state framework suitable for senior undergraduates and graduates. The authors then introduce semi-Markov chains and hidden semi-Markov chains, before ... Read more

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Markov chains and hidden Markov chains have applications in many areas of engineering and genomics. This book provides a basic introduction to the subject by first developing the theory of Markov processes in an elementary discrete time, finite state framework suitable for senior undergraduates and graduates. The authors then introduce semi-Markov chains and hidden semi-Markov chains, before
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Forecasting Stock Prices in 2026

Mathematical Probabilistic Models

by Azhar ul Haque Sario ...

Unlocking the pure mathematical secrets of the 2026 stock market requires moving far beyond the simple charts and guesses of the past.This book provides a deep dive into the rigorous world of advanced probabilistic forecasting. It covers the foundational pillars of multidimensional diffusions and heavy-tailed discontinuities. You will explore the fractional paradigm and rough volatility landscapes ... Read more

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Unlocking the pure mathematical secrets of the 2026 stock market requires moving far beyond the simple charts and guesses of the past.This book provides a deep dive into the rigorous world of advanced probabilistic forecasting. It covers the foundational pillars of multidimensional diffusions and heavy-tailed discontinuities. You will explore the fractional paradigm and rough volatility landscapes
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Perturbed Semi-Markov Type Processes I

Limit Theorems for Rare-Event Times and Processes

by Dmitrii Silvestrov ...

This book is the first volume of a two-volume monograph devoted to the study of limit and ergodic theorems for regularly and singularly perturbed Markov chains, semi-Markov processes, and multi-alternating regenerative processes with semi-Markov modulation.The first volume presents necessary and sufficient conditions for weak convergence for first-rare-event times and convergence in the topology J ... Read more

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This book is the first volume of a two-volume monograph devoted to the study of limit and ergodic theorems for regularly and singularly perturbed Markov chains, semi-Markov processes, and multi-alternating regenerative processes with semi-Markov modulation.The first volume presents necessary and sufficient conditions for weak convergence for first-rare-event times and convergence in the topology J
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Introduction to Probability Models

by Sheldon M. Ross ...

Approx.852 pages - Winner of a 2024 McGuffey Longevity Award (College) (Texty) from the Textbook and Academic Authors Association - Retains the useful organization that students and professors have relied on since 1972 - Includes new coverage on Martingales - Offers a single source appropriate for a range of courses from undergraduate to graduate level ... Read more

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Approx.852 pages - Winner of a 2024 McGuffey Longevity Award (College) (Texty) from the Textbook and Academic Authors Association - Retains the useful organization that students and professors have relied on since 1972 - Includes new coverage on Martingales - Offers a single source appropriate for a range of courses from undergraduate to graduate level
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The Art of Finding Hidden Risks

Hidden Regular Variation in the 21st Century

by Sidney Resnick ...

Series series Mathematics and Statistics (R0)
This text gives a comprehensive, largely self-contained treatment of multivariate heavy tail analysis. Emphasizing regular variation of measures means theory can be presented systematically and without regard to dimension. Tools are developed that allow a flexible definition of "extreme" in higher dimensions and permit different heavy tails to coexist on the same state space leading to "hidden ... Read more

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This text gives a comprehensive, largely self-contained treatment of multivariate heavy tail analysis. Emphasizing regular variation of measures means theory can be presented systematically and without regard to dimension. Tools are developed that allow a flexible definition of "extreme" in higher dimensions and permit different heavy tails to coexist on the same state space leading to "hidden
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Frontiers in Industrial and Applied Mathematics

FIAM-2021, Punjab, India, December 21–22

Edited by Rajesh Kumar Sharma, Lorenzo Pareschi, Abdon Atangana, Bikash Sahoo, Vijay Kumar Kukreja ...

Series series Springer Nature Proceedings excluding Computer Science
This book publishes select papers presented at the 4th International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2021), held at the Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India, from 21–22 December 2021. Most of the papers deal with mathematical theory embedded with its applications to engineering and sciences. This book illustrates ... Read more

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This book publishes select papers presented at the 4th International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2021), held at the Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India, from 21–22 December 2021. Most of the papers deal with mathematical theory embedded with its applications to engineering and sciences. This book illustrates
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Multifractals

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by David Harte ...

Although multifractals are rooted in probability, much of the related literature comes from the physics and mathematics arena. Multifractals: Theory and Applications pulls together ideas from both these areas using a language that makes them accessible and useful to statistical scientists. It provides a framework, in particular, for the evaluation ... Read more

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Although multifractals are rooted in probability, much of the related literature comes from the physics and mathematics arena. Multifractals: Theory and Applications pulls together ideas from both these areas using a language that makes them accessible and useful to statistical scientists. It provides a framework, in particular, for the evaluation
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Discovering Evolution Equations with Applications

Volume 2-Stochastic Equations

by Mark McKibben ...

Series series Chapman & Hall/CRC Applied Mathematics & Nonlinear Science
Most existing books on evolution equations tend either to cover a particular class of equations in too much depth for beginners or focus on a very specific research direction. Thus, the field can be daunting for newcomers to the field who need access to preliminary material and behind-the-scenes detail. Taking an applications-oriented, conversation ... Read more

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Most existing books on evolution equations tend either to cover a particular class of equations in too much depth for beginners or focus on a very specific research direction. Thus, the field can be daunting for newcomers to the field who need access to preliminary material and behind-the-scenes detail. Taking an applications-oriented, conversation
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Stationary Stochastic Processes

Theory and Applications

by Georg Lindgren ...

Series series Chapman & Hall/CRC Texts in Statistical Science
Intended for a second course in stationary processes, Stationary Stochastic Processes: Theory and Applications presents the theory behind the field's widely scattered applications in engineering and science. In addition, it reviews sample function properties and spectral representations for stationary processes and fields, including a portion on st ... Read more

RM 548.88

Intended for a second course in stationary processes, Stationary Stochastic Processes: Theory and Applications presents the theory behind the field's widely scattered applications in engineering and science. In addition, it reviews sample function properties and spectral representations for stationary processes and fields, including a portion on st
... Read more
Measuring Uncertainty within the Theory of Evidence

by Simona Salicone, Marco Prioli ...

Series series Springer Series in Measurement Science and Technology
This monograph considers the evaluation and expression of measurement uncertainty within the mathematical framework of the Theory of Evidence. With a new perspective on the metrology science, the text paves the way for innovative applications in a wide range of areas. Building on Simona Salicone’s Measurement Uncertainty: An Approach via the Mathematical Theory of Evidence, the material covers ... Read more

RM 356.39

This monograph considers the evaluation and expression of measurement uncertainty within the mathematical framework of the Theory of Evidence. With a new perspective on the metrology science, the text paves the way for innovative applications in a wide range of areas. Building on Simona Salicone’s Measurement Uncertainty: An Approach via the Mathematical Theory of Evidence, the material covers
... Read more
An Introduction to Probability and Statistical Inference

by George G. Roussas ...

An Introduction to Probability and Statistical Inference, Second Edition, guides you through probability models and statistical methods and helps you to think critically about various concepts. Written by award-winning author George Roussas, this book introduces readers with no prior knowledge in probability or statistics to a thinking process to help them obtain the best solution to a posed ... Read more

RM 352.89

An Introduction to Probability and Statistical Inference, Second Edition, guides you through probability models and statistical methods and helps you to think critically about various concepts. Written by award-winning author George Roussas, this book introduces readers with no prior knowledge in probability or statistics to a thinking process to help them obtain the best solution to a posed
... Read more
Analysis of the Gravity Field

Direct and Inverse Problems

by Fernando Sansò, Daniele Sampietro ...

Series series Mathematics and Statistics (R0)
This textbook presents a comprehensive treatment of the theory and implementation of inverse methods in the analysis and interpretation of Earth’s gravity field. By restricting their consideration to a local rather than global level, the authors focus on the use of observations and data that are more sensitive to local mass anomalies. All necessary theoretical aspects are reformulated in terms of ... Read more

RM 314.49

This textbook presents a comprehensive treatment of the theory and implementation of inverse methods in the analysis and interpretation of Earth’s gravity field. By restricting their consideration to a local rather than global level, the authors focus on the use of observations and data that are more sensitive to local mass anomalies. All necessary theoretical aspects are reformulated in terms of
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Gaussian Process Models for Quantitative Finance

by Michael Ludkovski, Jimmy Risk ...

Series series Mathematics and Statistics (R0)
This book describes the diverse applications of Gaussian Process (GP) models in mathematical finance. Spurred by the transformative influence of machine learning frameworks, the text aims to integrate GP modeling into the fabric of quantitative finance. The first half of the book provides an entry point for graduate students, established researchers and quant practitioners to get acquainted with ... Read more

RM 230.59

This book describes the diverse applications of Gaussian Process (GP) models in mathematical finance. Spurred by the transformative influence of machine learning frameworks, the text aims to integrate GP modeling into the fabric of quantitative finance. The first half of the book provides an entry point for graduate students, established researchers and quant practitioners to get acquainted with
... Read more
Asymptotic Analysis of Random Walks

Light-Tailed Distributions

Translated by Mikhail Zhitlukhin, V. V. Ulyanov ...

by A. A. Borovkov ...

Series Book 176 - Encyclopedia of Mathematics and its Applications
This is a companion book to Asymptotic Analysis of Random Walks: Heavy-Tailed Distributions by A.A. Borovkov and K.A. Borovkov. Its self-contained systematic exposition provides a highly useful resource for academic researchers and professionals interested in applications of probability in statistics, ruin theory, and queuing theory. The large deviation principle for random walks was first ... Read more

RM 575.49

This is a companion book to Asymptotic Analysis of Random Walks: Heavy-Tailed Distributions by A.A. Borovkov and K.A. Borovkov. Its self-contained systematic exposition provides a highly useful resource for academic researchers and professionals interested in applications of probability in statistics, ruin theory, and queuing theory. The large deviation principle for random walks was first
... Read more
Optimal Stochastic Control, Stochastic Target Problems, and Backward SDE

by Nizar Touzi ...

Series Book 29 - Fields Institute Monographs
This book collects some recent developments in stochastic control theory with applications to financial mathematics. We first address standard stochastic control problems from the viewpoint of the recently developed weak dynamic programming principle. A special emphasis is put on the regularity issues and, in particular, on the behavior of the value function near the boundary. We then provide a ... Read more

RM 461.19

This book collects some recent developments in stochastic control theory with applications to financial mathematics. We first address standard stochastic control problems from the viewpoint of the recently developed weak dynamic programming principle. A special emphasis is put on the regularity issues and, in particular, on the behavior of the value function near the boundary. We then provide a
... Read more

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Recommended For You

Probability eBooks

Special Functions of Fractional Calculus

Inequalities In Analysis And Probability (Second Edition)

Probabilistic Methods in Telecommunications

Two-dimensional Product Cubic Systems, Vol. VII

Planar Maps, Random Walks and Circle Packing

Mathematical Modeling And Computation In Finance: With Exercises And Python And Matlab Computer Codes

Introduction to Malliavin Calculus

Applied Stochastic Differential Equations

An Introduction to Anomalous Diffusion and Relaxation

Introduction to Hidden Semi-Markov Models

Forecasting Stock Prices in 2026

Perturbed Semi-Markov Type Processes I

Introduction to Probability Models

The Art of Finding Hidden Risks

Frontiers in Industrial and Applied Mathematics

Multifractals

Discovering Evolution Equations with Applications

Stationary Stochastic Processes

Measuring Uncertainty within the Theory of Evidence

An Introduction to Probability and Statistical Inference

Analysis of the Gravity Field

Gaussian Process Models for Quantitative Finance

Asymptotic Analysis of Random Walks

Optimal Stochastic Control, Stochastic Target Problems, and Backward SDE