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A readable 2006 synthesis of three main areas in the modern theory of stochastic processes.
Lévy Processes
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A Lévy process is a continuous-time analogue of a random walk, and as such, is at the cradle of modern theories of stochastic processes. Martingales, Markov pr
An Introduction to Continuity, Extrema, and Related Topics for General Gaussian Processes
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Topics in Spatial Stochastic Processes
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The theory of stochastic processes indexed by a partially ordered set has been the subject of much research over the past twenty years. The objective of this CI
Diffusions, Markov Processes and Martingales: Volume 2, Itô Calculus
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This celebrated volume gives an accessible introduction to stochastic integrals, stochastic differential equations, excursion theory and the general theory of p