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Multiparameter Processes: An Introduction to Random Fields - Tapa blanda

Libro 18 de 187: Springer Monographs in Mathematics

Khoshnevisan, Davar

 
9781468492613: Multiparameter Processes: An Introduction to Random Fields

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Sinopsis

DISCRETE-PARAMETER RANDOM FIELDS * Discrete Parameter Martingales * Two Applications in Analysis * Random Walks * Multiparameter Walks * Gaussian Random Walks * Limit Theorems; CONTINUOUS-PARAMETER RANDOM FIELDS * Continuous Parameter Martingales * Constructing Markov Processes * Generation of Markov Processes * Probabilistic Potential Theory * Multiparameter Markov Processes * Brownian Sheet and Potential Theory; APPENDICES * Kolmogorov's Consistency Theorem * Laplace Transforms * Hausdorff Dimensions and Measures * Energy and Capacity

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