Elements of Random Walk and Diffusion Processes

Featuring an introduction to stochastic calculus, this book uniquely blends diffusion equations and random walk theory and provides an interdisciplinary approach by including numerous practical examples and exercises with real-world applications in operations research, economics, engineering, and physics. It covers standard methods and applications of Brownian motion and discusses Levy motion; addresses fractional calculus; introduces percolation theory and its relationship to diffusion processes; and more.

Avainsanat: Applied Probability & Statistics, calculus, stochastic calculus, mathematics, random motion, random walk theory, diffusion processes, stochastic processes, percolation theory, Brownian motion, statistics, Levy motion, fractional calculus, mathematics