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

Author: Marta Lewicka

Publisher:

Published: 2020

Total Pages: 0

ISBN-13: 9788303046208

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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.

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

Author: Marta Lewicka

Publisher: Springer Nature

Published: 2020-06-19

Total Pages: 258

ISBN-13: 3030462099

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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.

Random Tug-of-War Games and the Infinity Laplacian
Random Tug-of-War Games and the Infinity Laplacian

Author: Marcos Antón Amayuelas

Publisher:

Published: 2017

Total Pages:

ISBN-13:

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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
Sins of a Mulatto Outcast

Author: Robert Fouche'

Publisher: iUniverse

Published: 2015-04-07

Total Pages: 205

ISBN-13: 1491756535

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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.

Tizoc
Tizoc

Author: Frederick Webb Hodge

Publisher:

Published: 1923

Total Pages: 394

ISBN-13:

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Scouting
Scouting

Author:

Publisher:

Published: 1988-10

Total Pages: 72

ISBN-13:

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Published by the Boy Scouts of America for all BSA registered adult volunteers and professionals, Scouting magazine offers editorial content that is a mixture of information, instruction, and inspiration, designed to strengthen readers' abilities to better perform their leadership roles in Scouting and also to assist them as parents in strengthening families.