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[null,"1.","Record Nr.",null,"UNINA9910483899603321"]
[null,null,"Autore",null,"Lewicka Marta"]
[null,null,"Titolo",null,"A Course on Tug-of-War Games with Random Noise : Introduction and Basic Constructions / / by Marta Lewicka"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020"]
[null,null,"ISBN",null,"9783030462093"]
[{"$nulls":4},"3030462099"]
[null,null,"Edizione",null,"[1st ed. 2020.]"]
[null,null,"Descrizione fisica",null,"1 online resource (ix, 254 pages) : illustrations"]
[null,null,"Collana",null,"Universitext, , 0172-5939"]
[null,null,"Disciplina",null,"515.7"]
[{"$nulls":4},"515.96"]
[null,null,"Soggetti",null,"Potential theory (Mathematics)"]
[{"$nulls":4},"Probabilities"]
[{"$nulls":4},"Mathematical analysis"]
[{"$nulls":4},"Analysis (Mathematics)"]
[{"$nulls":4},"Potential Theory"]
[{"$nulls":4},"Probability Theory and Stochastic Processes"]
[{"$nulls":4},"Analysis"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"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."]
[null,null,null,"Sommario/riassunto","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."]