Latest Research in Probability

Top Research Topics in Probability

• Analysis of PDEs — 134 papers
• Probability — 31 papers
• Dynamical Systems — 24 papers
• Nonlinear Partial Differential Equations — 16 papers
• Mathematical Physics — 13 papers
• Benford’s Law and Fraud Detection — 11 papers
• Spectral Theory — 10 papers
• Functional Analysis — 10 papers
• Optimization and Control — 7 papers
• Classical Analysis and ODEs — 7 papers

Highest-Cited Papers

1. Positive stability-preserving semigroups and particle capacities
2. Scale Invariance and Dynamic Invariants in Collatz Dynamics
3. On the nontrapping condition and its role in the smoothing effect of dispersive operators
4. Scale Invariance and Dynamic Invariants in Collatz Dynamics
5. Ultradifferentiable regularity properties of a class of hypoelliptic operators
6. Extended Collatz Mappings: Predicting Convergence and Divergence via Topological Invariants
7. A Brezis-Nirenberg type result for systems on stratified Lie groups
8. E8‑Driven Resonant Windmill Theorem — E8 Intelligence Research
9. APF Paper 1 — The Enforceability of Distinction (Technical Supplement)
10. On the heat flow conjecture for random matrices
11. Extended Collatz Mappings: Predicting Convergence and Divergence via Topological Invariants
12. Golden Ratio Invariants in Poncelet 3-Periodics with Circular Caustics — E8 Intelligence Research
13. On $$\vec {p}(\cdot )$$-Laplacian Equations with Generalized Anisotropic Neumann Boundary Condition
14. A Spherical N-Series Area Law for Regular Refinement Families
15. A Spherical N-Series Area Law for Regular Refinement Families
16. Double-Phase Neumann Problems with Variable Growth on Metric Measure Spaces
17. Abundance of typical horseshoes for the random standard map
18. Finite inverse nodal problems for singular weighted Sturm--Liouville equations: variational selection and spectral matching
19. Revisiting the Weak Coupling Phenomenon for Two-Dimensional Schrödinger Operators
20. Hölder gradient estimates for fractional $p$-caloric functions