Authors:
- Guides the reader step by step from basic probability theory to advanced topics like stochastic differential equations
- Teaches the reader how to implement his/her own algorithms for the study of physical systems
- Provides connections with several fields of pure and applied physics, from quantum mechanics to econophysics
- Includes fully solved exercises, allowing the reader to learn quickly and to explore topics not covered in the main text
Part of the book series: UNITEXT for Physics (UNITEXTPH)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
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.
Authors and Affiliations
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Williamsburg, USA
Ettore Vitali
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Physics Department, College of William and Mary Physics Department, Williamsburg, USA
Mario Motta
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Department of Physics, University of Milan Department of Physics, Milano, Italy
Davide Emilio Galli
About the authors
Ettore Vitali is a Post-Doctoral Research Associate in the Computational Materials Physics Group, Physics Department, College of William and Mary, Williamsburg, VA, USA. In 2005 he obtained his Master’s degree in Physics (summa cum laude) at the Università degli Studi di Milano and in 2008 gained a PhD at the same university for a thesis entitled “Superfluid and supersolid phases of 4He”. He has since undertaken postdoctoral fellowships at the Centro di Ricerca e Sviluppo DEMOCRITOS, CNR-INFM, Trieste, Italy and the Università degli Studi di Milano. Dr. Vitali’s research interests range across condensed matter physics; probability theory, stochastic processes, stochastic differential equations, and numerical simulation techniques; and statistical methods for ill-posed inverse problems. He is the author of 15 peer-reviewed journal articles.
Mario Motta is a Post-Doctoral Research Associate in the Computational Materials Physics Group, Physics Department, College of William and Mary, Williamsburg, VA, USA. He gained Bachelor’s and Master’s degrees in Physics at the University of Milan in 2010 and 2012 and then completed a PhD in Physics, Astrophysics and Applied Physics from the Università degli Studi di Milano for a thesis entitled “Dynamical properties of many-body systems from Quantum Monte Carlo Simulations”, which won the Dr. Davide Colosimo Award for worthy PhD students. His research focuses include topics in condensed matter physics; quantum chemistry; probability theory, stochastic processes, and numerical simulations; and the foundations of quantum mechanics. Davide Emilio Galli is Associate Professor at the Parallel Computing and Condensed Matter Simulations Laboratory, Physics Department, Università degli Studi di Milano, Milan, Italy. He graduated with a degree in Physics from the Università degli Studi di Milano in 1993 and in 1997 completed his PhD at the university. Dr. Galli’s interests include Monte Carlo and quantum Monte Carlo simulations of many-particle systems and stochastic processes, the theory of superfluids and quantum liquids and solids, theoretical methods for quantum many-body systems, and stochastic optimization methods. He is the author of almost 60 journal articles and acts as a referee for a number of international scientific journals. He is also an International Advisory Committee member for a series of international conferences on Recent Progress in Many Body Theories (RPMBT/MBT).
Bibliographic Information
Book Title: Theory and Simulation of Random Phenomena
Book Subtitle: Mathematical Foundations and Physical Applications
Authors: Ettore Vitali, Mario Motta, Davide Emilio Galli
Series Title: UNITEXT for Physics
DOI: https://doi.org/10.1007/978-3-319-90515-0
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-90514-3Published: 22 June 2018
Softcover ISBN: 978-3-030-08032-7Published: 08 February 2019
eBook ISBN: 978-3-319-90515-0Published: 13 June 2018
Series ISSN: 2198-7882
Series E-ISSN: 2198-7890
Edition Number: 1
Number of Pages: XIII, 235
Number of Illustrations: 5 b/w illustrations
Topics: Mathematical Methods in Physics, Probability Theory and Stochastic Processes, Statistical Theory and Methods, Mathematical Applications in the Physical Sciences, Numerical and Computational Physics, Simulation