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Causality: The p-adic Theory

Medium: Buch
ISBN: 978-3-031-85817-8
Verlag: Springer International Publishing
Erscheinungstermin: 25.04.2025
Lieferfrist: bis zu 10 Tage

This book delves into the mathematical theory of causal functions over discrete time, offering a fresh perspective on causality beyond its philosophical roots. By exploring the intricate world of p-adic 1-Lipschitz functions, this volume bridges the gap between abstract mathematical concepts and their practical applications in fields such as automata theory, combinatorics, and applied computer science.

Readers will uncover a wealth of insights as the book investigates key topics including the nature of causal functions, the role of discrete time in causality, and the application of non-Archimedean metrics. With contributions from eminent scholars, this work invites readers to ponder critical questions: How do we define causality in mathematical terms? What are the implications of using p-adic analysis in understanding complex systems especially quantum ones? The author's unique approach makes this book an essential read for anyone interested in the intersection of mathematics and real-world applications.

Ideal for researchers and practitioners with a background in mathematics, computer science, or physics, this book is a valuable resource for those seeking to deepen their understanding of causal functions. Whether you're a scholar exploring theoretical perspectives or a professional looking to apply these concepts practically, this volume offers a comprehensive guide to navigating the complexities of causality. Part of an ongoing series on advanced mathematical theories, it is an indispensable addition to any academic library.


Produkteigenschaften


  • Artikelnummer: 9783031858178
  • Medium: Buch
  • ISBN: 978-3-031-85817-8
  • Verlag: Springer International Publishing
  • Erscheinungstermin: 25.04.2025
  • Sprache(n): Englisch
  • Auflage: Erscheinungsjahr 2025
  • Serie: STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health
  • Produktform: Gebunden
  • Gewicht: 820 g
  • Seiten: 413
  • Format (B x H x T): 160 x 241 x 30 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

Foreword.- Preface.- Background.- Part I. Basics of p-Adic Analysis.- Rings and Fields of p-Adic Numbers.- p-Adic Calculus.- p-Adic Series.- 1-Lipschitz functions.- Special Classes of 1-Lipschitz Functions.- Part II. The p-Adic Ergodic Theory.- Ergodic Theory: Preliminaries for the p-Adic Case.- The Main Ergodic Theorem for p-Adic 1-Lipschitz Maps.- 1-Lipschitz Ergodicity on Zp.- Measure-Preservation and Ergodicity of Uniformly Differentiable Functions.- 1-Lipschitz Ergodicity on Subspaces.- Plots of 1-Lipschitz Functions in Euclidean Space.- Part III. Applications.- Applications to Automata Theory.- Applications to Computer Science.- Application to Combinatorics.- Applications to Foundations of Quantum Theory.- References.- Index.