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You searched IISERK - Title: Crash [videorecording] : a tale of two species / prodced by Argo Films and Thirteen/WNET New York ; written, produced, and directed by Allison Argo.
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Call Number
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515.96
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Author
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Lewicka, Marta. author.
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Title
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A Course on Tug-of-War Games with Random Noise [electronic resource] : Introduction and Basic Constructions / by Marta Lewicka.
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Material Info.
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IX, 254 p. 26 illus., 24 illus. in color. online resource.
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Series
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Universitext, 2191-6675
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Series
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Universitext, 2191-6675
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Summary Note
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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.
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Notes
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1 Introduction -- 2 The linear case: random walk and harmonic functions -- 3 Tug-of-War with noise. Case p ∈ [2,∞) -- 4 Boundary aware tug-of-war with noise. Case p ∈ (2,∞) -- 5 Game-regularity and convergence. Case p ∈ (2,∞) -- 6 Mixed tug-of-war with noise. Case p ∈ (1,∞) -- A Background in probability -- B Background in Brownian motion -- C Background in PDEs. D Solutions to selected exercises -- References -- Index.
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ISBN
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9783030462093
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Subject
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Potential theory (Mathematics).
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Subject
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Probabilities.
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Subject
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Mathematical analysis.
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Subject
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Analysis (Mathematics).
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Subject
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Potential Theory.
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Subject
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Probability Theory and Stochastic Processes.
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Subject
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Analysis.
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Added Entry
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SpringerLink (Online service)
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Date
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Year, Month, Day:02110081
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