Latest Research in Discrete Dynamical Systems

Top Research Topics in Discrete Dynamical Systems

• Combinatorics — 942 papers
• Number Theory — 435 papers
• Analytic Number Theory Research — 402 papers
• Probability — 336 papers
• Functional Analysis — 326 papers
• Computability, Logic, AI Algorithms — 309 papers
• Analysis of PDEs — 279 papers
• Benford’s Law and Fraud Detection — 254 papers
• Data Structures and Algorithms — 229 papers
• Classical Analysis and ODEs — 195 papers

Highest-Cited Papers

1. Séminaires de Géométrie Algébrique (SGA) — French/English Canon and Current Readers (1 citations)
2. On Carathéodory theorem for open discrete unclosed mappings (1 citations)
3. Shift equivalence relations through the lens of C*-correspondences (1 citations)
4. Defect Flow, Incidence Rank, and Boundary Descent for Seymour's Second-Neighborhood Conjecture (2 citations)
5. The Past, Present, and Future of Formal Methods in Brazil (1 citations)
6. State Spaces of Multifactor Approximations of Nonnegative Volterra Processes (2 citations)
7. Monochromatic sets in strictly Δ-regressive colourings
8. A Prime Digit-Sum Dynamical System and the Two-cycle Conjecture
9. A logarithmic-Quadratic Upper-Bound conjecture for Odd Collatz Trajectories
10. A logarithmic-Quadratic Upper-Bound conjecture for Odd Collatz Trajectories
11. A Cubic Upper Bound Conjecture for Odd Collatz Trajectories
12. Monochromatic sets in strictly Δ-regressive colourings
13. A Prime Digit-Sum Dynamical System and the Two-cycle Conjecture
14. Protocol Epistemology of Finiteness: A Cohomological Consistency Criterion for Rule-Matrix Systems (CohoRete, v12.0.0)
15. Channel Theory for Polynomial Continued Fractions: Asymptotic Channels, the ξ₀ = 2/√β₂ Identity, and a Bridge Conjecture (12 citations)
16. Berge-Fulkerson Covers, Cycle Double Covers, Flows and Exact Normality Defects of the First Counterexamples to the Petersen Coloring Conjecture
17. ZTL — Zero-Trust Logic (5 citations)
18. Lower Bounds for Cycle Lengths in the Juggler Map
19. Inversion monotonicity and asymptotic enumeration of 1324-avoiding permutations with few inversions
20. The Collatzogin Tree: A Complete Inductive Framework for the Collatz Conjecture

Sub-Regions

• Number Theoretic Dynamics — 3,638 papers
• Topological Geometric Flows — 2,333 papers
• Functional Operator Stability — 1,870 papers
• Combinatorial Graph Structures — 1,035 papers
• Computational Complexity Logic — 747 papers
• Algorithmic Information Geometry — 432 papers
• Formal Verification Reasoning — 349 papers