Titlebook: A Course on Tug-of-War Games with Random Noise; Introduction and Bas Marta Lewicka Textbook 2020 The Editor(s) (if applicable) and The Auth

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Modern Agencies — The Ideal Typehat harmonic functions and martingales share a common cancellation property, expressed via mean value properties. We cover the following topics: the Laplace’s equation and harmonic functions, construction of the ball walk, values of the ball walk as harmonic functions, walk-regularity of boundary po

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Modern Agencies — The Ideal Typeified nondegenerate case. This first convergence theorem is shown both via probabilistic and analytic techniques. Additionally, we continue discussing the relation to Brownian motion in case .?=?2, begun in Chap. ..

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https://doi.org/10.1057/9780230504868me values to the unique solution of the Dirichlet .-Laplace problem. Further, it establishes two sufficient conditions for game-regularity: exterior cone property and . surpassing the dimension . of the problem. The following topics are covered: relation of game-regularity and convergence, technique

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Marta LewickaProvides a rigorous, self-contained introduction to the emerging field of tug-of-war games.Includes background and auxiliary material on probability and partial differential equations.Includes exercis

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