An Introduction to Continuous-time Stochastic Processes

An introduction to the theory of continuous-time stochastic processes. It covers such topics as interacting particles and agent-based models: from polymers to ants; population dynamics: from birth and death processes to epidemics; and, financial market models: the non-arbitrage principle. It is suitable for those in mathematical finance.

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This concisely written book is a rigorous and self-contained introduction to the theory of continuous-time stochastic processes. Balancing theory and applications, the authors use stochastic methods and concrete examples to model real-world problems from engineering, biomathematics, biotechnology, and finance. Suitable as a textbook for graduate or advanced undergraduate courses, the work may also be used for self-study or as a reference. The book will be of interest to students, pure and applied mathematicians, and researchers or practitioners in mathematical finance, biomathematics, physics, and engineering.