2011/10/06 by Richard F. Bass · 1 citation
Economics, Econometrics and Finance · Mathematics · #Stochastic processes and financial applications #Financial Risk and Volatility Modeling #Stochastic processes and statistical mechanics
paper · doi:10.1017/cbo9780511997044
openalex publication_date 2011/10/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21
This comprehensive guide to stochastic processes gives a complete overview of the theory and addresses the most important applications. Pitched at a level accessible to beginning graduate students and researchers from applied disciplines, it is both a course book and a rich resource for individual readers. Subjects covered include Brownian motion, stochastic calculus, stochastic differential equations, Markov processes, weak convergence of processes and semigroup theory. Applications include the Black–Scholes formula for the pricing of derivatives in financial mathematics, the Kalman–Bucy filter used in the US space program and also theoretical applications to partial differential equations and analysis. Short, readable chapters aim for clarity rather than full generality. More than 350 exercises are included to help readers put their new-found knowledge to the test and to prepare them for tackling the research literature.