Outline 11 Outline Introduction Topic 1 Factorizations of

Outline 1/1 Outline Ø Introduction Ø Topic 1 Factorizations of Suffixes of Two-Way Infinite Characteristic Words Ø Topic 2 Markov Word Patterns in Two-Way Infinite Characteristic Words Ø Topic 3 Adjacent α-Words Ø Summaries

Introduction 1/10 Introduction

Introduction 2/10 l Different factorizations of f 0

Introduction 3/10 l Different factorizations of f 0

Introduction 4/10 l Different factorizations of f 0

Introduction 5/10 l Two-way infinite characteristic words

Introduction 6/10 l Two-way infinite characteristic words

Introduction 7/10 l α-words

Introduction 8/10 l α-words

Introduction 9/10

Introduction 10/10 l Singular words

Topic 1 1/8 Topic 1

Topic 1 2/8 l Known results

Topic 1 3/8 l Our results in this thesis

Topic 1 4/8 l Idea Theorems 3. 3. 4 and 3. 3. 5 Theorems 3. 4. 1 and 3. 4. 2

Topic 1 5/8 l kth-order factorization of suffixes of and

Topic 1 6/8 l kth-order factorization of suffixes of and

Topic 1 7/8 l kth-order factorization of suffixes of and

Topic 1 8/8 l kth-order factorization of suffixes of and

Topic 2 1/5 Topic 2

Topic 2 2/5 l Known results

Topic 2 3/5 l Our results in this thesis

Topic 2 4/5

Topic 2 5/5

Topic 2 5/5 Theorem 4. 1. 2 Theorem 4. 1. 9(a) Theorem 4. 1. 9(b)

Topic 2 5/5 Theorem 4. 2. 1 (a)(i) Theorem 4. 2. 1 (a)(ii) Theorem 4. 2. 1 (b)(ii)

Topic 3 1/5 Topic 3

Topic 3 2/5

Topic 3 3/5

Topic 3 3/5

Topic 3 4/5

Topic 3 4/5

Topic 3 4/5

Topic 3 5/5 l The set V

Summaries 1/2 Summaries Ø Topic 1 Ø Topic 2

Summaries 2/2 Summaries Ø Topic 3

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