A Course on Tug-of-War Games with Random Noise: Introduction and Basic Constructions (Universitext) - Softcover

Lewicka, Marta

Softcover

ISBN 10: 3030462080 ISBN 13: 9783030462086

Publisher: Springer, 2020

Synopsis

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.

About this title

About the Author

Marta Lewicka is a Polish mathematician at the University of Pittsburgh, specializing in Mathematical Analysis. Marta obtained her PhD in 2000 from Scuola Internazionale Superiore di Studi Avanzati with a thesis on Hyperbolic Systems of Conservation Laws. She has subsequently worked on Calculus of Variations, Partial Differential Equations, Continuum Mechanics, and Tug-of-War Games in relation to Nonlinear Potential Theory.

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.

Edition details

• Publisher: Springer
• Publication date: 2020
• Language: English
• ISBN 10: 3030462080
• ISBN 13: 9783030462086
• Binding: Paperback
• Edition number: 1
• Number of pages: 264