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Causality = the p-adic theory /

Anashin, Vladimir.

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Causality = the p-adic theory /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Causality/ by Vladimir Anashin.
Reminder of title:	the p-adic theory /
Author:	Anashin, Vladimir.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xxvi, 413 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	p-adic numbers. -
Online resource:	https://doi.org/10.1007/978-3-031-85818-5
ISBN:	9783031858185

Causality = the p-adic theory /
Anashin, Vladimir.

Causalitythe p-adic theory /[electronic resource] :by Vladimir Anashin. - Cham :Springer Nature Switzerland :2025. - xxvi, 413 p. :ill. (some col.), digital ;24 cm. - STEAM-H: science, technology, engineering, agriculture, mathematics & health,2520-1948. - STEAM-H: science, technology, engineering, agriculture, mathematics & health..

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.

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.

ISBN: 9783031858185

Standard No.: 10.1007/978-3-031-85818-5doiSubjects--Topical Terms:

523919
p-adic numbers.

LC Class. No.: QA241

Dewey Class. No.: 512.74

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505 0 $a 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.
520 $a 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.
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