Latest Research in Classical Analysis and ODEs

Top Research Topics in Classical Analysis and ODEs

• Analysis of PDEs — 52 papers
• Classical Analysis and ODEs — 25 papers
• Functional Analysis — 25 papers
• Complex Variables — 22 papers
• Dynamical Systems — 19 papers
• Differential Geometry — 14 papers
• Probability — 14 papers
• Computability, Logic, AI Algorithms — 8 papers
• Number Theory — 7 papers
• Mathematical functions and polynomials — 7 papers

Highest-Cited Papers

1. On Carathéodory theorem for open discrete unclosed mappings (1 citations)
2. Scale-Lift Calculus for Fractional-Dimensional Objects and Differential-Algebra Extensions of Distributions A Two-Volume Research Manuscript Lifting, Reconstruction, and Coordinate Calculus
3. Scale-Lift Calculus for Fractional-Dimensional Objects and Differential-Algebra Extensions of Distributions A Two-Volume Research Manuscript Lifting, Reconstruction, and Coordinate Calculus
4. Scale-Lift Calculus for Fractional-Dimensional Objects and Differential-Algebra Extensions of Distributions A Two-Volume Research Manuscript Lifting, Reconstruction, and Coordinate Calculus
5. Phi‑Prime E8 Topological Coding — E8 Intelligence Research
6. On an Essential Unverified Step in Baek's "Optimality of Gerver's Sofa" and three ancillary corrections to arXiv:2411.19826v1
7. A low-energy multiwell genus principle below a concentration–compactness threshold
8. On the value distribution of the Riemann zeta-function with general shifts
9. A 6^r-Scaled Family of the Reduced 6k±{1,2}/5 Collatz-Type Map with Three Observed Attractors
10. Spherical Fibonacci Lattices: Near-Optimal Uniform Sampling via Golden-Ratio Phyllotaxis — E8 Intelligence Research
11. Holomorphic motions, Assouad dimension and quasiconformal mappings
12. On Simply Connected Domains Supporting an Unbounded Analytic Function with Bounded Derivative
13. ζ(5) is irrational
14. ζ(5) is irrational
15. $L^p$ Decay Estimates for Circular Means of Fractal Measures in $\mathbb{R}^2$
16. Geometric Integration by Parts and Sobolev Spaces on Vector Bundles: A Unified Global Approach
17. Rectifiability of every finite order for stationary integral varifolds
18. Sharp Operator Khintchine inequality and $Z_2$ Property
19. The divergence set for the wave equation in higher dimensions
20. Nonexistence of solutions to $Δ_pu+Δ_qu+u^s| abla u|^t\leq 0$ on geodesically complete noncompact Riemannian manifolds