1 General Facts About Probability Distributions. - 1. Probability Spaces. - 2. Conditional Distributions. - 3. Zero-One Laws. Regularity. - 4. Consistent Conditional Distributions. - 5. Gaussian Probability Distributions. - 2 Markov Random Fields. - 1. Basic Definitions and Useful Propositions. - 2. Stopping ?-algebras. Random Sets and the Strong Markov Property. - 3. Gaussian Fields. Markov Behavior in the Wide Sense. - 3 The Markov Property for Generalized Random Functions. - 1. Biorthogonal Generalized Functions and the Duality Property. - 2. Stationary Generalized Functions. - 3. Biorthogonal Generalized Functions Given by a Differential Form. - 4. Markov Random Functions Generated by Elliptic Differential Forms. - 5. Stochastic Differential Equations. - 4 Vector-Valued Stationary Functions. - 1. Conditions for Existence of the Dual Field. - 2. The Markov Property for Stationary Functions. - 3. Markov Extensions of Random Processes. - Notes. Language: English