Latest Research in Functional Analysis

Top Research Topics in Functional Analysis

• Probability — 11 papers
• Functional Analysis — 3 papers
• Stochastic processes and financial applications — 3 papers
• Numerical Analysis — 2 papers
• Optimization and Control — 2 papers
• Nonlinear Differential Equations Analysis — 1 papers
• Numerical methods for differential equations — 1 papers
• Differential Equations and Numerical Methods — 1 papers
• General Mathematics — 1 papers
• Data Structures and Algorithms — 1 papers

Highest-Cited Papers

1. On an Analogy of Fermat’s Theorem for the First-Level General Fractional Derivative and Its Applications
2. Inhomogeneous long-range percolation in the strong decay regime: recurrence in one dimension
3. Functional limit theorems for perturbed random walks
4. Optimal Time-Dependent Jump Truncation for Time-Singular Lévy Processes
5. Approximate Inversion of Discrete Fourier Integral Operators via Hierarchically Semiseparable Matrices
6. Coupling for one-dimensional subcritical and critical CBI processes with jumps
7. On the Generalized Conditional Gradient Method for Mean Field Games with Local Coupling Terms
8. Fluctuations of additive martingale limits of branching Brownian motion
9. Differentiability of the Value Function in Control-Constrained Parabolic Problems
10. Angles, orthogonality, and Pythagorean theorem in Banach spaces with two related applications
11. A large-deviation principle for the empirical distribution of a regular branching random walk
12. Discrete Approximation to Time-changed Brownian Motions
13. The randomly oriented Manhattan lattice in 2D is transient
14. Mapping for Approximation: A Unified View of Rescaled, Variably Scaled and Rational Kernel Methods
15. Mean-field quadratic BSDEs and related mean-field portfolio games of controls
16. Stability of the Monge Map in Semi-Dual Optimal Transport
17. An existence result of a functional integral equation via Darbo type theorem and an iterative algorithm to solve it
18. Stochastic Optimal Control for Systems with Drifts of Bounded Variation: A Maximum Principle Approach
19. Stochastic Maximum Principle for Square-Integrable Optimal Control of Linearly Growing Stochastic Differential Systems Subject to a Quadratically Growing Cost Functional
20. A Simpler Analysis of the Bansal-Jiang Quasi Monte-Carlo Algorithm via Haar Wavelets