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A course on tug-of-war games with random noise: introduction and basic constructions

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...

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Detalles Bibliográficos
Autor principal: Lewicka, Marta
Lenguaje:eng
Publicado: Springer 2020
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-030-46209-3
http://cds.cern.ch/record/2722841
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author Lewicka, Marta
author_facet Lewicka, Marta
author_sort Lewicka, Marta
collection CERN
description 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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language eng
publishDate 2020
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spelling cern-27228412021-04-21T18:07:37Zdoi:10.1007/978-3-030-46209-3http://cds.cern.ch/record/2722841engLewicka, MartaA course on tug-of-war games with random noise: introduction and basic constructionsMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:27228412020
spellingShingle Mathematical Physics and Mathematics
Lewicka, Marta
A course on tug-of-war games with random noise: introduction and basic constructions
title A course on tug-of-war games with random noise: introduction and basic constructions
title_full A course on tug-of-war games with random noise: introduction and basic constructions
title_fullStr A course on tug-of-war games with random noise: introduction and basic constructions
title_full_unstemmed A course on tug-of-war games with random noise: introduction and basic constructions
title_short A course on tug-of-war games with random noise: introduction and basic constructions
title_sort course on tug-of-war games with random noise: introduction and basic constructions
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-030-46209-3
http://cds.cern.ch/record/2722841
work_keys_str_mv AT lewickamarta acourseontugofwargameswithrandomnoiseintroductionandbasicconstructions
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