40% off Popular Science books & eBooks—Save on general interest titles now!

Universitext

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

Introduction and Basic Constructions

Authors: Lewicka, Marta

Free Preview
  • Provides a rigorous, self-contained introduction to the emerging field of tug-of-war games
  • Includes background and auxiliary material on probability and partial differential equations
  • Includes exercises with solutions
おすすめポイントをすべて見る

書籍の購入

イーブック ¥2,859
¥6,291 (listprice)
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
有効期限: June 30, 2021
  • ISBN 978-3-030-46209-3
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
ソフトカバー ¥3,574
¥7,864 (listprice)
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
有効期限: June 30, 2021
  • ISBN 978-3-030-46208-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
この教本について

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.

著者について

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.

レビュー

“The book is best suited for advanced graduate students and specialists in nonlinear potential theory. The author provides background appendices for probability, Brownian motion and PDEs.” (Bill Satzer, MAA Reviews, April 4, 2021)


Table of contents (6 chapters)

Table of contents (6 chapters)
  • Introduction

    Pages 1-7

    Lewicka, Marta

  • The Linear Case: Random Walk and Harmonic Functions

    Pages 9-35

    Lewicka, Marta

  • Tug-of-War with Noise: Case p ∈ [2, ∞)

    Pages 37-70

    Lewicka, Marta

  • Boundary Aware Tug-of-War with Noise: Case p ∈ (2, ∞)

    Pages 71-99

    Lewicka, Marta

  • Game-Regularity and Convergence: Case p ∈ (2, ∞)

    Pages 101-134

    Lewicka, Marta

書籍の購入

イーブック ¥2,859
¥6,291 (listprice)
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
有効期限: June 30, 2021
  • ISBN 978-3-030-46209-3
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
ソフトカバー ¥3,574
¥7,864 (listprice)
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
有効期限: June 30, 2021
  • ISBN 978-3-030-46208-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Loading...

あなたへのおすすめ

Loading...

書誌情報

Bibliographic Information
Book Title
A Course on Tug-of-War Games with Random Noise
Book Subtitle
Introduction and Basic Constructions
Authors
Series Title
Universitext
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
イーブック ISBN
978-3-030-46209-3
DOI
10.1007/978-3-030-46209-3
ソフトカバー ISBN
978-3-030-46208-6
Series ISSN
0172-5939
Edition Number
1
Number of Pages
IX, 254
Number of Illustrations
2 b/w illustrations, 24 illustrations in colour
Topics