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Causality: The p-adic Theory

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 the...

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Dettagli Bibliografici
Autore principale: Anashin, Vladimir (Autore)
Ente Autore: SpringerLink (Online service)
Natura: Elettronico eBook
Lingua:inglese
Pubblicazione: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Edizione:1st ed. 2025.
Serie:STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health,
Soggetti:
Number theory.
Mathematical analysis.
Dynamical systems.
Sequences (Mathematics).
Number Theory.
Analysis.
Dynamical Systems.
Sequences, Series, Summability.
Accesso online:https://doi.org/10.1007/978-3-031-85818-5
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Sommario:
  • 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.

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