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010   $a9783030462093
010   $a3030462099
024 7 $a10.1007/978-3-030-46209-3
035   $a(CKB)5310000000016544
035   $a(MiAaPQ)EBC6231722
035   $a(DE-He213)978-3-030-46209-3
035   $a(PPN)248595768
035   $a(MiAaPQ)EBC31886878
035   $a(Au-PeEL)EBL31886878
035   $a(OCoLC)1162185236
035   $a(EXLCZ)995310000000016544
100   $a20200619d2020      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 12$aA Course on Tug-of-War Games with Random Noise $eIntroduction and Basic Constructions /$fby Marta Lewicka
205   $a1st ed. 2020.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020.
215   $a1 online resource (ix, 254 pages) $cillustrations
225 1 $aUniversitext,$x0172-5939
311 08$a9783030462086 
311 08$a3030462080 
327   $a1 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.
330   $aThis graduate textbook provides a detailed introduction to the probabilistic interpretation of nonlinear potential theory, relying on the recently introduced notion of tug-of-war games with noise. The book explores both basic and more advanced constructions, carefully explaining the parallel between linear and nonlinear cases. The presentation is self-contained with many exercises, making the book suitable as a textbook for a graduate course, as well as for self-study. Extensive background and auxiliary material allow the tailoring of courses to individual student levels.
410  0$aUniversitext,$x0172-5939
606   $aPotential theory (Mathematics)
606   $aProbabilities
606   $aMathematical analysis
606   $aAnalysis (Mathematics)
606   $aPotential Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12163
606   $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004
606   $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007
615  0$aPotential theory (Mathematics)
615  0$aProbabilities.
615  0$aMathematical analysis.
615  0$aAnalysis (Mathematics).
615 14$aPotential Theory.
615 24$aProbability Theory and Stochastic Processes.
615 24$aAnalysis.
676   $a515.7
676   $a515.96
700   $aLewicka$b Marta$4aut$4http://id.loc.gov/vocabulary/relators/aut$0867035
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910483899603321
996   $aA Course on Tug-of-War Games with Random Noise$91935244
997   $aUNINA