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A Course on Tug-of-War Games with Random Noise

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Release : 2020
Genre : Mathematical analysis
Kind : eBook
Book Rating : 208/5 ( reviews)

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Book Synopsis A Course on Tug-of-War Games with Random Noise by : Marta Lewicka

Download or read book A Course on Tug-of-War Games with Random Noise written by Marta Lewicka. This book was released on 2020. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Course on Tug-of-War Games with Random Noise

Download A Course on Tug-of-War Games with Random Noise PDF Online Free

Author :
Release : 2020-06-19
Genre : Mathematics
Kind : eBook
Book Rating : 099/5 ( reviews)

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Book Synopsis A Course on Tug-of-War Games with Random Noise by : Marta Lewicka

Download or read book A Course on Tug-of-War Games with Random Noise written by Marta Lewicka. This book was released on 2020-06-19. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Notes on Tug-of-War Games and the p-Laplace Equation

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Release :
Genre :
Kind : eBook
Book Rating : 793/5 ( reviews)

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Book Synopsis Notes on Tug-of-War Games and the p-Laplace Equation by : Mikko Parviainen

Download or read book Notes on Tug-of-War Games and the p-Laplace Equation written by Mikko Parviainen. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

Random Tug-of-War Games and the Infinity Laplacian

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Author :
Release : 2017
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Random Tug-of-War Games and the Infinity Laplacian by : Marcos Antón Amayuelas

Download or read book Random Tug-of-War Games and the Infinity Laplacian written by Marcos Antón Amayuelas. This book was released on 2017. Available in PDF, EPUB and Kindle. Book excerpt: In this work we introduce and analyze a new random Tug-of-War game in which one of the players has the power to decide at each turn whether to play a round of classical random Tug-of-War, or let the other player choose the new game position in exchange of a fixed payoff. We prove that this game has a value and identify the partial differential equation to which it is related. This is the first time that such equation is found to have a relation with game theory. Moreover, our analysis relies on comparison and viscosity tools, in contrast to probabilistic arguments which are more common in the literature. The work also includes a review of the infinity Laplacian and its connection to the classical random Tug-of-War game, as well as an introduction to the theory of viscosity solutions. Furthermore, some explicit examples of the new game are considered.

Sins of a Mulatto Outcast

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Release : 2015-04-07
Genre : Young Adult Fiction
Kind : eBook
Book Rating : 535/5 ( reviews)

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Book Synopsis Sins of a Mulatto Outcast by : Robert Fouche'

Download or read book Sins of a Mulatto Outcast written by Robert Fouche'. This book was released on 2015-04-07. Available in PDF, EPUB and Kindle. Book excerpt: Homer grows up knowing he looks different than most kids in his neighborhood. Although both his parents are African American, his appearance more closely resembles a Caucasian. As he struggles to fit in with others in his African American race, Homer faces prejudice and bullying by those who brand him the white kid, until he decides to fight back, transforming himself and his attitude forever. On his wayward journey to removing himself from his surroundings, Homer feels his looks are a curse which sets off a series of horrific events that test all his emotions. To others it seems as though Homer has been given all the keys to unlock the American Dream. Unfortunately, they are unaware of his sins as a youth. As Homer relives his experiences, joys, and challenges through the metaphorical structure of eighteen holes of golf, he shines a light on his determined quest to overcome his outcast label, accept his mixed heritage, seek forgiveness, andmore importantlylove himself. Sins of a Mulatto Outcast tells the compelling tale of one mans struggles to embrace his uniqueness in order to achieve happiness in life.

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