Fake Cycles, Spectral Gap, and the BIP Property in Collatz Dynamics
Fuente:
Zenodo
Saved in:
| Main Author: | okabe, arata |
|---|---|
| Format: | Recurso digital |
| Published: |
Zenodo
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Carry Mixing and Spectral Gap Analysis of the Collatz Conjecture: 202 Lean4 Theorems and the Fibonacci Firewall
by: Fujimoto, Nobuki, et al.
Published: (2026)
by: Fujimoto, Nobuki, et al.
Published: (2026)
On the non-existence of non-trivial Collatz cycles: a conditional formal proof in Lean 4 with documented structural obstructions
by: Merle, Eric
Published: (2026)
by: Merle, Eric
Published: (2026)
Sequence of Syracuse : Extensions of types 3n+b and 5n+1
by: BALLASI, Jacques
Published: (2025)
by: BALLASI, Jacques
Published: (2025)
Sequence of Syracuse : Extensions of types 3n+b and 5n+1
by: BALLASI, Jacques
Published: (2025)
by: BALLASI, Jacques
Published: (2025)
Methodological Generalization of the Collatz Sequences to (1 + 2^k )n + S_k(n) with Computational Verification for k = 1 up to k = 42
by: Ammar, HAMDOUS
Published: (2025)
by: Ammar, HAMDOUS
Published: (2025)
Proof of the Collatz Conjecture through the Inverse Expansion Graph
by: Olgac, Enis
Published: (2025)
by: Olgac, Enis
Published: (2025)
Collatz‑12: Python Implementation and Sanctuary Dynamics Exploration Tools
by: Harada, HIroshi
Published: (2026)
by: Harada, HIroshi
Published: (2026)
Collatz Topology and Modular Backwash: A Structural Framework for Residue Recurrence and Folding
by: Moon, KyungUp
Published: (2025)
by: Moon, KyungUp
Published: (2025)
Collatz Dynamics I: Skeleton Bound and the Elimination of Non-Trivial Cycles
by: Moon, KyungUp
Published: (2025)
by: Moon, KyungUp
Published: (2025)
UCT: Number Theory in E₈ Geometric Space
by: Novgorodtsev, Aleksei
Published: (2026)
by: Novgorodtsev, Aleksei
Published: (2026)
A Delta-State Finite Automaton Framework for High-Energy Collatz Corridors: Exhaustive Symbolic Enumeration and Profinite State Compression
by: Moon, Kyung-Up
Published: (2026)
by: Moon, Kyung-Up
Published: (2026)
Considerations on the Collatz Conjecture
by: Loris, Audemir
Published: (2024)
by: Loris, Audemir
Published: (2024)
Collatz Normal Form: Time as Degree-of-Freedom Elimination and the Trace-Compressed Engine
by: Moon, KyungUp
Published: (2026)
by: Moon, KyungUp
Published: (2026)
A Universal Drift Invariant and the Resolution of the Collatz Conjecture
by: Thaler, Mario Heinrich
Published: (2025)
by: Thaler, Mario Heinrich
Published: (2025)
A Proof of the Collatz Conjecture
by: Uchikawa, Kkiyoshi
Published: (2025)
by: Uchikawa, Kkiyoshi
Published: (2025)
V. The function φ and the extension of the 2-adic budget argument to arbitrary k_0 in the Collatz dynamics
by: Miguel Cerdá Bennassar
Published: (2026)
by: Miguel Cerdá Bennassar
Published: (2026)
Foundations of the Meikyo–Shisui Theory
by: Ueoka, Yoshiki
Published: (2026)
by: Ueoka, Yoshiki
Published: (2026)
The Shadow Collatz Conjecture: The Journey of All Integers Toward −1
by: Miyazawa, Ryosuke
Published: (2025)
by: Miyazawa, Ryosuke
Published: (2025)
Machine-Checkable Weak Covering for the Collatz (3x+1) Problem
by: Kawanishi, Yoshihito
Published: (2025)
by: Kawanishi, Yoshihito
Published: (2025)
A Finite–Depth Structural Resolution of the Collatz Conjecture via Hierarchical Height Functions and Mother Chains (JNT Submission Version)
by: Matsuua, Yoshihito
Published: (2025)
by: Matsuua, Yoshihito
Published: (2025)
The Infinium (△₁ₓ₁): The Geometric Quantum that Generates Mathematics A Unified Review Article: From Measure and Smoothness to a Universal Categorical Scheme, Motivic Foundation, and Formal Logic (2)
by: Petrov, Alexey (KAMAZ)
Published: (2026)
by: Petrov, Alexey (KAMAZ)
Published: (2026)
Collatz Conjecture: Universal Cycle Descent (27n+19)/32 < n ? Lean4 Verified for All n>=4
by: Fujimoto, Nobuki, et al.
Published: (2026)
by: Fujimoto, Nobuki, et al.
Published: (2026)
Spectral Phenomena in Finite Approximations of the Syracuse Full Shift: Phase Transitions, Fake Cycles, and the Eigenvalue Ratio 1/√2
by: okabe, arata
Published: (2026)
by: okabe, arata
Published: (2026)
Thermodynamic Constraint and Regime Shifts in Organized Systems
by: Thomas, C.S.
Published: (2025)
by: Thomas, C.S.
Published: (2025)
Strukturelle Wahrheit – Wie Drift, Spiralzeit und Geometrie die moderne Physik überholen
by: Andres, Benjamin
Published: (2025)
by: Andres, Benjamin
Published: (2025)
Stalker's Resolution of the Collatz Conjecture
by: Stalker, Eric
Published: (2025)
by: Stalker, Eric
Published: (2025)
Stalker's Resolution of the Collatz Conjecture
by: Stalker, Eric
Published: (2025)
by: Stalker, Eric
Published: (2025)
Análisis de los Factores de Resiliencia Económica en Baja California Sur, ante Crisis y Desastres Naturales
by: Angélica Montaño Armendariz
Published: (2022)
by: Angélica Montaño Armendariz
Published: (2022)
Collatz Conjecture: A Reverse Construction Bijective Proof via Layered Directed Acyclic Graphs
by: Aaron Brolin Fish
Published: (2025)
by: Aaron Brolin Fish
Published: (2025)
Negentropic Thermal Gradients: Experimental Evidence of Entropy Decrease Driven by Active Heat Flux
by: Guzzon, Andre
Published: (2026)
by: Guzzon, Andre
Published: (2026)
Proofing Collatz with AI: A Retrospective on an Experimental Publication Process
by: Thaler, Mario Heinrich
Published: (2025)
by: Thaler, Mario Heinrich
Published: (2025)
The Inherent Contradictions Between 4D Relativity and Emergent Temporal Dynamics: A Spectral-Geometric Critique of the Space-Time Paradigm
by: Lindenhayn, Mark
Published: (2025)
by: Lindenhayn, Mark
Published: (2025)
Layered Recursive Compression as a Structural Proof of the Collatz Conjecture (Version 92)
by: Kawanishi, Yoshihito
Published: (2025)
by: Kawanishi, Yoshihito
Published: (2025)
Pillai's Conjecture
by: Keen, Joseph
Published: (2026)
by: Keen, Joseph
Published: (2026)
Newman's Conjecture
by: Keen, Joseph
Published: (2026)
by: Keen, Joseph
Published: (2026)
The Graceful Tree Conjecture
by: Keen, Joseph
Published: (2026)
by: Keen, Joseph
Published: (2026)
Hana's conjecture
by: Elgamala, Hana Abdelrahman
Published: (2025)
by: Elgamala, Hana Abdelrahman
Published: (2025)
Prime Density in Permutation Families with Fixed Digital Root Across Numeral Bases: An Empirical Study with a Conditional Hardy–Littlewood Framework and Machine-Verified Algebraic Results
by: Ferraiuolo, Giovanni
Published: (2026)
by: Ferraiuolo, Giovanni
Published: (2026)
Collatz Conjecture: 100% Universal Coverage ? All 10 Mod Cases Proven forall-n, Zero Sorry, Lean4 Verified
by: Fujimoto, Nobuki, et al.
Published: (2026)
by: Fujimoto, Nobuki, et al.
Published: (2026)
A Sieve Method for Generating 1+1 Prime Pairs and Goldbach Function
by: Chern, Geeng-Chuan
Published: (2026)
by: Chern, Geeng-Chuan
Published: (2026)
Similar Items
-
Carry Mixing and Spectral Gap Analysis of the Collatz Conjecture: 202 Lean4 Theorems and the Fibonacci Firewall
by: Fujimoto, Nobuki, et al.
Published: (2026) -
On the non-existence of non-trivial Collatz cycles: a conditional formal proof in Lean 4 with documented structural obstructions
by: Merle, Eric
Published: (2026) -
Sequence of Syracuse : Extensions of types 3n+b and 5n+1
by: BALLASI, Jacques
Published: (2025) -
Sequence of Syracuse : Extensions of types 3n+b and 5n+1
by: BALLASI, Jacques
Published: (2025) -
Methodological Generalization of the Collatz Sequences to (1 + 2^k )n + S_k(n) with Computational Verification for k = 1 up to k = 42
by: Ammar, HAMDOUS
Published: (2025)