| Online-Ressource |
Verfasst von: | Anašin, Vladimir S. [VerfasserIn]  |
Titel: | Causality: The p-adic Theory |
Verf.angabe: | by Vladimir Anashin |
Ausgabe: | 1st ed. 2025. |
Verlagsort: | Cham |
Verlag: | Springer Nature Switzerland |
Jahr: | 2025 |
Umfang: | 1 Online-Ressource(XXVI, 413 p. 54 illus., 42 illus. in color.) |
Gesamttitel/Reihe: | STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health |
ISBN: | 978-3-031-85818-5 |
Abstract: | 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. |
DOI: | doi:10.1007/978-3-031-85818-5 |
URL: | Resolving-System: https://doi.org/10.1007/978-3-031-85818-5 |
| DOI: https://doi.org/10.1007/978-3-031-85818-5 |
Datenträger: | Online-Ressource |
Sprache: | eng |
Bibliogr. Hinweis: | Erscheint auch als : Druck-Ausgabe |
| Erscheint auch als : Druck-Ausgabe |
| Erscheint auch als : Druck-Ausgabe |
| Erscheint auch als : Druck-Ausgabe: Anašin, Vladimir S.: Causality: the p-adic theory. - Cham : Springer Nature Switzerland, 2025. - xxvi, 413 Seiten |
K10plus-PPN: | 1924005115 |
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Lokale URL UB: | Zum Volltext |
Causality: The p-adic Theory / Anašin, Vladimir S. [VerfasserIn]; 2025 (Online-Ressource)