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This graduate textbook provides a detailed introduction to the probabilistic interpretation of nonlinear potential theory, relying on the recently introduced notion of tug-of-war games with noise. The book explores both basic and more advanced constructions, carefully explaining the parallel between linear and nonlinear cases. The presentation is self-contained with many exercises, making the book suitable as a textbook for a graduate course, as well as for self-study. Extensive background and auxiliary material allow the tailoring of courses to individual student levels.
Autorius: | Marta Lewicka |
Serija: | Universitext |
Leidėjas: | Springer Nature Switzerland |
Išleidimo metai: | 2020 |
Knygos puslapių skaičius: | 264 |
ISBN-10: | 3030462080 |
ISBN-13: | 9783030462086 |
Formatas: | 235 x 155 x 15 mm. Knyga minkštu viršeliu |
Kalba: | Anglų |
Parašykite atsiliepimą apie „A Course on Tug-of-War Games with Random Noise: Introduction and Basic Constructions“