Stochastic Processes in Astrophysics

Stochastic Processes in Astrophysics
Author: J. Robert Buchler
Publisher:
Total Pages: 203
Release: 1993
Genre: Science
ISBN: 9780897668019

Some of the topics highlighted in this volume include stochastic effects and resonance; noise and chaos; fluid dynamics and mechanics; and the integration of orbits. Models are discussed in relation to cosmology, field theory and galactic dynamics.

Stochastic Processes

Stochastic Processes
Author: Wolfgang Paul
Publisher: Springer Science & Business Media
Total Pages: 288
Release: 2013-07-11
Genre: Science
ISBN: 3319003275

This book introduces the theory of stochastic processes with applications taken from physics and finance. Fundamental concepts like the random walk or Brownian motion but also Levy-stable distributions are discussed. Applications are selected to show the interdisciplinary character of the concepts and methods. In the second edition of the book a discussion of extreme events ranging from their mathematical definition to their importance for financial crashes was included. The exposition of basic notions of probability theory and the Brownian motion problem as well as the relation between conservative diffusion processes and quantum mechanics is expanded. The second edition also enlarges the treatment of financial markets. Beyond a presentation of geometric Brownian motion and the Black-Scholes approach to option pricing as well as the econophysics analysis of the stylized facts of financial markets, an introduction to agent based modeling approaches is given.

Astrophysical Disks

Astrophysical Disks
Author: Aleksey M. Fridman
Publisher: Springer Science & Business Media
Total Pages: 366
Release: 2006-07-25
Genre: Science
ISBN: 1402043481

This book deals with collective and stochastic processes in astrophysical disks involving theory, observations, and the results of modelling. It examines the spiral-vortex structure in galactic and accretion disks, and stochastic and ordered structures in developed turbulence. The book advances the study in this important branch of astrophysics and will benefit professional researchers, lecturers, and graduate students.

Selected Papers, Volume 3

Selected Papers, Volume 3
Author: S. Chandrasekhar
Publisher: University of Chicago Press
Total Pages: 662
Release: 1989-10-23
Genre: Mathematics
ISBN: 9780226100944

This is the third of six volumes collecting significant papers of the distinguished astrophysicist and Nobel laureate S. Chandrasekhar. His work is notable for its breadth as well as for its brilliance; his practice has been to change his focus from time to time to pursue new areas of research. The result has been a prolific career full of discoveries and insights, some of which are only now being fully appreciated. Chandrasekhar has selected papers that trace the development of his ideas and that present aspects of his work not fully covered in the books he has periodically published to summarize his research in each area. This volume is divided into four sections. The first, on dynamical friction and Brownian motion, includes papers written after Chandrasekhar published his 1942 monograph Principles of Stellar Dynamics. Also in this section is "Stochastic Problems in Physics and Astronomy," one of the most cited papers in the physics literature, as well as papers written jointly with John von Neumann that have been given impetus to recent research. As Chandrasekhar notes, the papers in the second section, on statistical problems in astronomy, were influenced by Ambartsumian's analysis of brightness in the Milky Way. A third section on the statistical theory of turbulence addresses issues still unresolved in fluid dynamics, and the last section is devoted to hydromagnetic problems in astrophysics that are not discussed in Chandrasekhar's monographs.

An Introduction to Stochastic Processes in Physics

An Introduction to Stochastic Processes in Physics
Author: Don S. Lemons
Publisher: Johns Hopkins University Press+ORM
Total Pages: 165
Release: 2003-04-29
Genre: Science
ISBN: 0801876389

This “lucid, masterfully written introduction to an often difficult subject . . . belongs on the bookshelf of every student of statistical physics” (Dr. Brian J. Albright, Applied Physics Division, Los Alamos National Laboratory). This book provides an accessible introduction to stochastic processes in physics and describes the basic mathematical tools of the trade: probability, random walks, and Wiener and Ornstein-Uhlenbeck processes. With an emphasis on applications, it includes end-of-chapter problems. Physicist and author Don S. Lemons builds on Paul Langevin’s seminal 1908 paper “On the Theory of Brownian Motion” and its explanations of classical uncertainty in natural phenomena. Following Langevin’s example, Lemons applies Newton’s second law to a “Brownian particle on which the total force included a random component.” This method builds on Newtonian dynamics and provides an accessible explanation to anyone approaching the subject for the first time. This volume contains the complete text of Paul Langevin’s “On the Theory of Brownian Motion,” translated by Anthony Gythiel.