Description
Diffusion Processes, Jump Processes, and Stochastic Differential Equations provides a compact exposition of the results explaining interrelations between diÃâ€Ã‚¨Ã„usion stochastic processes, stochastic diÃâ€Ã‚¨Ã„erential equations and the fractional inÃâ€Ã‚¨Ã…nitesimal operators. The draft of this book has been extensively classroom tested by the author at Case Western Reserve University in a course that enrolled seniors and graduate students majoring in mathematics, statistics, engineering, physics, chemistry, economics and mathematical Ãâ€Ã‚¨Ã…nance. The last topic proved to be particularly popular among students looking for careers on Wall Street and in research organizations devoted to Ãâ€Ã‚¨Ã…nancial problems. Features Quickly and concisely builds from basic probability theory to advanced topics Suitable as a primary text for an advanced course in diffusion processes and stochastic differential equations Useful as supplementary reading across a range of topics.