Collatz Map Basics
1
The Collatz Conjecture
▶
1.1
Elementary Number Theory
1.2
The Collatz Map
1.3
The Collatz Conjecture
1.4
The Collatz Graph
2
The Reduced Collatz Map
▶
2.1
Definitions
2.2
Primitives of The Reduced Map
3
The Compact Map
▶
3.1
Definitions
3.2
Parity Vectors
3.3
Linear Decomposition
3.4
Periodicity
3.5
Correspondence to the Original Map
4
Rozier & Terracol (2025)
▶
4.1
Rozier–Terracol Lemma 2.1
4.2
Rozier–Terracol Theorem 2.2
4.3
Rozier–Terracol Lemma 2.3
4.4
Diophantine Approximations
4.5
Paradoxical Sequences
4.6
More Paradoxical Sequences
5
Eliahou & Verger-Gaugry (2025)
▼
5.1
Uniform Distribution Correspondence
5.2
Base 3/2 Number System
▶
5.2.1
The Number System in Rational Base \(3/2\)
6
Literature
Dependency graph
5 Eliahou & Verger-Gaugry (2025)
5.1
Uniform Distribution Correspondence
5.2
Base 3/2 Number System
5.2.1
The Number System in Rational Base \(3/2\)