Stochastic Processes From Physics to Finance /

• Main Authors: Paul, Wolfgang (Author), Baschnagel, Jörg (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Heidelberg : Springer International Publishing : Imprint: Springer, 2013.
• Edition: 2nd ed. 2013.
• Subjects: Physics.; Economics, Mathematical.; Mathematical physics.; Sociophysics.; Econophysics.; Economic theory.; Socio- and Econophysics, Population and Evolutionary Models.; Quantitative Finance.; Economic Theory/Quantitative Economics/Mathematical Methods.; Mathematical Methods in Physics.; Mathematical Applications in the Physical Sciences.

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 a...

Table of Contents:

• A First Glimpse of Stochastic Processes
• A Brief Survey of the Mathematics of Probability Theory
• Diffusion Processes
• Beyond the Central Limit Theorem: Lévy Distributions
• Modeling the Financial Market
• Stable Distributions Revisited
• Hyperspherical Polar Coordinates
• The Weierstrass Random Walk Revisited
• The Exponentially Truncated Lévy Flight
• Put–Call Parity
• Geometric Brownian Motion.