Latest Research in Computability, Logic, AI Algorithms

Top Research Topics in Computability, Logic, AI Algorithms

• Functional Analysis — 57 papers
• Probability — 35 papers
• Computability, Logic, AI Algorithms — 20 papers
• Number Theory — 19 papers
• Classical Analysis and ODEs — 18 papers
• Complex Variables — 15 papers
• Dynamical Systems — 11 papers
• Metric Geometry — 11 papers
• Combinatorics — 11 papers
• Operator Algebras — 8 papers

Highest-Cited Papers

1. The Golden Octave: Why the Fibonacci Ring's Dial Sings Only Whole Tones, and Falls Silent Only at φ
2. Orientation-Sensitive Return Traces in a Four-State Graph Dynamics with Invertible Local Updates
3. The Problem Generation Framework of Switch Measure Theory: Five Illustrative Results, 137 Open Problems, Five Deep Problems, and the Impossibility Boundary
4. From fractional to set tilings for pairs of lattices
5. Almost sure upper bound for random multiplicative functions (3 citations)
6. Traces of Besov and Lizorkin--Triebel spaces to thick subsets of $\mathbb{R}^n$
7. Every compact operator is a commutator of compact operators
8. An expository review of the Chebyshev-Sylvester method in prime number theory
9. Journey into special $T_1$-spaces
10. Boolean Small-Ball Inequalities for Discrepancy Theory
11. Solutions to some open problems in matrix analysis
12. Norming Approximate Orthogonality in Normed Linear Spaces
13. On Polynomial Progressions Inside Sets of Large Dimension
14. Putnam-Fuglede commutativity and the range-kernel orthogonality of an elementary operator
15. Hölder Selections under Stieltjes Clocks: Uniform Disconnectedness and Jump Dominance
16. Universal completeness of exponentials
17. The Reciprocal Problem on Weighted Bergman Spaces
18. Sharp spectral norm concentration of sparse random tensors
19. Composition Semigroups on the Besov Spaces
20. Besov and Triebel--Lizorkin Spaces on Filtered Lie Groups, II: Pointwise Multiplication, Localization, Differences