Theory And Simulation Of Random Phenomena

Author : Ettore Vitali
Publisher : Springer
ISBN 13 : 3319905155
Total Pages : 235 pages
Book Rating : 4.50/5 ( download)

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Download or read book Theory and Simulation of Random Phenomena written by Ettore Vitali and published by Springer. This book was released on 2018-06-13 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is twofold: first, it sets out to equip the reader with a sound understanding of the foundations of probability theory and stochastic processes, offering step-by-step guidance from basic probability theory to advanced topics, such as stochastic differential equations, which typically are presented in textbooks that require a very strong mathematical background. Second, while leading the reader on this journey, it aims to impart the knowledge needed in order to develop algorithms that simulate realistic physical systems. Connections with several fields of pure and applied physics, from quantum mechanics to econophysics, are provided. Furthermore, the inclusion of fully solved exercises will enable the reader to learn quickly and to explore topics not covered in the main text. The book will appeal especially to graduate students wishing to learn how to simulate physical systems and to deepen their knowledge of the mathematical framework, which has very deep connections with modern quantum field theory.

Author : Abdo Abou Jaoudé
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527524264
Total Pages : 306 pages
Book Rating : 4.62/5 ( download)

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Download or read book The Computer Simulation of Monté Carlo Methods and Random Phenomena written by Abdo Abou Jaoudé and published by Cambridge Scholars Publishing. This book was released on 2019-01-07 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes algorithms that illustrate the famous Monté Carlo Methods and the computer simulation of stochastic experiments in the areas of random numbers generation, the simulation of random phenomena, the computation of Pi and e (the base of logarithms), both simple and multiple integration, the computation of areas and volumes, probability and statistical distributions, in addition to an introduction to the novel Complex Probability Paradigm. As such, it will be of interest to all scholars, researchers, and undergraduate and graduate students in mathematics, computer science, and science in general.

Author : Roberto Fernandez
Publisher : Springer Science & Business Media
ISBN 13 : 3662028662
Total Pages : 446 pages
Book Rating : 4.67/5 ( download)

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Download or read book Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory written by Roberto Fernandez and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simple random walks - or equivalently, sums of independent random vari ables - have long been a standard topic of probability theory and mathemat ical physics. In the 1950s, non-Markovian random-walk models, such as the self-avoiding walk,were introduced into theoretical polymer physics, and gradu ally came to serve as a paradigm for the general theory of critical phenomena. In the past decade, random-walk expansions have evolved into an important tool for the rigorous analysis of critical phenomena in classical spin systems and of the continuum limit in quantum field theory. Among the results obtained by random-walk methods are the proof of triviality of the cp4 quantum field theo ryin space-time dimension d (::::) 4, and the proof of mean-field critical behavior for cp4 and Ising models in space dimension d (::::) 4. The principal goal of the present monograph is to present a detailed review of these developments. It is supplemented by a brief excursion to the theory of random surfaces and various applications thereof. This book has grown out of research carried out by the authors mainly from 1982 until the middle of 1985. Our original intention was to write a research paper. However, the writing of such a paper turned out to be a very slow process, partly because of our geographical separation, partly because each of us was involved in other projects that may have appeared more urgent.

Author : Marian Bubak
Publisher : Springer
ISBN 13 : 3540693874
Total Pages : 771 pages
Book Rating : 4.71/5 ( download)

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Download or read book Computational Science – ICCS 2008 written by Marian Bubak and published by Springer. This book was released on 2008-06-25 with total page 771 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three-volume set LNCS 5101-5103 constitutes the refereed proceedings of the 8th International Conference on Computational Science, ICCS 2008, held in Krakow, Poland in June 2008. The 167 revised papers of the main conference track presented together with the abstracts of 7 keynote talks and the 100 revised papers from 14 workshops were carefully reviewed and selected for inclusion in the three volumes. The main conference track was divided into approximately 20 parallel sessions addressing topics such as e-science applications and systems, scheduling and load balancing, software services and tools, new hardware and its applications, computer networks, simulation of complex systems, image processing and visualization, optimization techniques, numerical linear algebra, and numerical algorithms. The second volume contains workshop papers related to various computational research areas, e.g.: computer graphics and geometric modeling, simulation of multiphysics multiscale systems, computational chemistry and its applications, computational finance and business intelligence, physical, biological and social networks, geocomputation, and teaching computational science. The third volume is mostly related to computer science topics such as bioinformatics' challenges to computer science, tools for program development and analysis in computational science, software engineering for large-scale computing, collaborative and cooperative environments, applications of workflows in computational science, as well as intelligent agents and evolvable systems.

Author : Manfred Denker
Publisher : Birkhäuser
ISBN 13 : 3319661523
Total Pages : 509 pages
Book Rating : 4.20/5 ( download)

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Download or read book Introductory Statistics and Random Phenomena written by Manfred Denker and published by Birkhäuser. This book was released on 2017-09-16 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook integrates traditional statistical data analysis with new computational experimentation capabilities and concepts of algorithmic complexity and chaotic behavior in nonlinear dynamic systems. This was the first advanced text/reference to bring together such a comprehensive variety of tools for the study of random phenomena occurring in engineering and the natural, life, and social sciences. The crucial computer experiments are conducted using the readily available computer program Mathematica® Uncertain Virtual WorldsTM software packages which optimize and facilitate the simulation environment. Brief tutorials are included that explain how to use the Mathematica® programs for effective simulation and computer experiments. Large and original real-life data sets are introduced and analyzed as a model for independent study. This is an excellent classroom tool and self-study guide. The material is presented in a clear and accessible style providing numerous exercises and bibliographical notes suggesting further reading. Topics and Features Comprehensive and integrated treatment of uncertainty arising in engineering and scientific phenomena – algorithmic complexity, statistical independence, and nonlinear chaotic behavior Extensive exercise sets, examples, and Mathematica® computer experiments that reinforce concepts and algorithmic methods Thorough presentation of methods of data compression and representation Algorithmic approach to model selection and design of experiments Large data sets and 13 Mathematica®-based Uncertain Virtual WorldsTM programs and code This text is an excellent resource for all applied statisticians, engineers, and scientists who need to use modern statistical analysis methods to investigate and model their data. The present, softcover reprint is designed to make this classic textbook available to a wider audience.

Author : P. Krée
Publisher : Springer Science & Business Media
ISBN 13 : 9400947704
Total Pages : 452 pages
Book Rating : 4.02/5 ( download)

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Download or read book Mathematics of Random Phenomena written by P. Krée and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes.

Author : V. S. Pugachev
Publisher : Elsevier
ISBN 13 : 1483190501
Total Pages : 469 pages
Book Rating : 4.01/5 ( download)

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Download or read book Probability Theory and Mathematical Statistics for Engineers written by V. S. Pugachev and published by Elsevier. This book was released on 2014-06-28 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability Theory and Mathematical Statistics for Engineers focuses on the concepts of probability theory and mathematical statistics for finite-dimensional random variables. The book underscores the probabilities of events, random variables, and numerical characteristics of random variables. Discussions focus on canonical expansions of random vectors, second-order moments of random vectors, generalization of the density concept, entropy of a distribution, direct evaluation of probabilities, and conditional probabilities. The text then examines projections of random vectors and their distributions, including conditional distributions of projections of a random vector, conditional numerical characteristics, and information contained in random variables. The book elaborates on the functions of random variables and estimation of parameters of distributions. Topics include frequency as a probability estimate, estimation of statistical characteristics, estimation of the expectation and covariance matrix of a random vector, and testing the hypotheses on the parameters of distributions. The text then takes a look at estimator theory and estimation of distributions. The book is a vital source of data for students, engineers, postgraduates of applied mathematics, and other institutes of higher technical education.

Author :
Publisher :
ISBN 13 : 9814475696
Total Pages : pages
Book Rating : 4.93/5 ( download)

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Download or read book Mathematical Analysis of Random Phenomena written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Igor I. Gorban
Publisher : Springer
ISBN 13 : 331943585X
Total Pages : 322 pages
Book Rating : 4.55/5 ( download)

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Download or read book The Statistical Stability Phenomenon written by Igor I. Gorban and published by Springer. This book was released on 2016-10-17 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph investigates violations of statistical stability of physical events, variables, and processes and develops a new physical-mathematical theory taking into consideration such violations – the theory of hyper-random phenomena. There are five parts. The first describes the phenomenon of statistical stability and its features, and develops methods for detecting violations of statistical stability, in particular when data is limited. The second part presents several examples of real processes of different physical nature and demonstrates the violation of statistical stability over broad observation intervals. The third part outlines the mathematical foundations of the theory of hyper-random phenomena, while the fourth develops the foundations of the mathematical analysis of divergent and many-valued functions. The fifth part contains theoretical and experimental studies of statistical laws where there is violation of statistical stability. The monograph should be of particular interest to engineers and scientists in general who study the phenomenon of statistical stability and use statistical methods for high-precision measurements, prediction, and signal processing over long observation intervals.

Author : Romansky, Radi Petrov
Publisher : IGI Global
ISBN 13 : 166848949X
Total Pages : 527 pages
Book Rating : 4.99/5 ( download)

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Download or read book Deterministic and Stochastic Approaches in Computer Modeling and Simulation written by Romansky, Radi Petrov and published by IGI Global. This book was released on 2023-10-09 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the field of computer modeling and simulation, academic scholars face a pressing challenge—how to navigate the complex landscape of both deterministic and stochastic approaches to modeling. This multifaceted arena demands a unified organizational framework, a comprehensive guide that can seamlessly bridge the gap between theory and practical application. Without such a resource, scholars may struggle to harness the full potential of computer modeling, leaving critical questions unanswered and innovative solutions undiscovered. Deterministic and Stochastic Approaches in Computer Modeling and Simulation serves as the definitive solution to the complex problem scholars encounter. By presenting a comprehensive and unified organizational approach, this book empowers academics to conquer the challenges of computer modeling with confidence. It not only provides a classification of modeling methods but also offers a formalized, step-by-step approach to conducting model investigations, starting from defining objectives to analyzing experimental results. For academic scholars seeking a holistic understanding of computer modeling, this book is the ultimate solution. It caters to the diverse needs of scholars by addressing both deterministic and stochastic approaches. Through its structured chapters, it guides readers from the very basics of computer systems investigation to advanced topics like stochastic analytical modeling and statistical modeling.