1
Program overview
▶
1.1
The spine
1.2
The three risk kernels
1.3
Global modelling decisions
2
The support layer
▶
2.1
PMF calculus
2.2
The geometric family and local bounds
2.3
Fourier analysis on \(\mathbb {Z}/3^n\mathbb {Z}\)
3
The Collatz–Syracuse dictionary and logarithmic density
4
The Syracuse random variable and its valuation
5
First passage, stabilization, and the main theorem
▶
5.1
The main theorem
5.2
First passage (§5)
6
Fine-scale mixing (§6)
7
The crux: character decay via renewal versus triangles (§7)
▶
7.1
Setup and the phase functions
7.2
The triangle structure of the black set
7.3
The holding process and its finitized renewal recursion (D6)
7.4
The three cases of Prop 7.8
7.5
Assembly: Prop 1.17
Dependency graph
Tao 2019 Collatz Blueprint
TaoCollatz
1
Program overview
1.1
The spine
1.2
The three risk kernels
1.3
Global modelling decisions
2
The support layer
2.1
PMF calculus
2.2
The geometric family and local bounds
2.3
Fourier analysis on \(\mathbb {Z}/3^n\mathbb {Z}\)
3
The Collatz–Syracuse dictionary and logarithmic density
4
The Syracuse random variable and its valuation
5
First passage, stabilization, and the main theorem
5.1
The main theorem
5.2
First passage (§5)
6
Fine-scale mixing (§6)
7
The crux: character decay via renewal versus triangles (§7)
7.1
Setup and the phase functions
7.2
The triangle structure of the black set
7.3
The holding process and its finitized renewal recursion (D6)
7.4
The three cases of Prop 7.8
7.5
Assembly: Prop 1.17