Description

Book Synopsis

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.

Causality The padic Theory

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    A Hardback by Vladimir Anashin

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      View other formats and editions of Causality The padic Theory by Vladimir Anashin

      Publisher: Springer
      Publication Date: 5/8/2025
      ISBN13: 9783031858178, 978-3031858178
      ISBN10: 3031858174
      Also in:
      Number theory

      Description

      Book Synopsis

      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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