Latest Research in Probability

Top Research Topics in Probability

• Nonlinear Waves and Solitons — 25 papers
• Analysis of PDEs — 7 papers
• Probability — 5 papers
• Statistical Mechanics — 4 papers
• Fluid Dynamics — 4 papers
• Nonlinear Photonic Systems — 3 papers
• Exactly Solvable and Integrable Systems — 3 papers
• Numerical Analysis — 3 papers
• Acoustic Wave Phenomena Research — 2 papers
• Ocean Waves and Remote Sensing — 2 papers

Highest-Cited Papers

1. Controlled Acoustic Collapse in a Compressible Medium: Non-Linear Modulation of Navier-Stokes Equations via an Irrational Spectral Coupling
2. Controlled Acoustic Collapse in a Compressible Medium: Non-Linear Modulation of Navier-Stokes Equations via an Irrational Spectral Coupling
3. Lie Symmetry Reduction, Series Solutions, Solitary Wave Structures and Dynamical Analysis of a Nonlinear Water Wave Model
4. Analyzing soliton solutions and multi-structured solitons in the KdV-SKR Equation in fluids using three novel approaches
5. Dynamical aspects and qualitative analysis related to an extended (3+1)-dimensional B-type Kadomtsev-Petviashvili equation
6. The hypergraph isomorphism game, Hopf algebras and Galois extensions
7. Contact discontinuities for 3-D axisymmetric flows with nonzero swirl
8. Factor of i.i.d. with polynomial tails for the long-range Ising model
9. Numerical Validation of the ESMA Framework: Benchmark Against the Bialynicki-Birula–Mycielski Gausson, Convergence Analysis, and Quantified Nonlocal Coupling
10. Numerical Validation of the ESMA Framework: Benchmark Against the Bialynicki-Birula–Mycielski Gausson, Convergence Analysis, and Quantified Nonlocal Coupling
11. Considering Traveling Waves and the Dynamical Behavior of the Complex Coupled Kairat-Zhaidary-Myrzakulov System
12. Adding slow magnetoacoustic mode to the HLL-type multi-state approximate Riemann solution
13. From torpid to rapid mixing: group averaging for a weakly interacting Ising star
14. The Interaction of Wind-Generated Gravity Water Wave Groups with Capillary-Gravity Wave Groups: Coupled Nonlinear Schrödinger Equations
15. Vector rogue wave patterns associated with generalized Hermite and Okamoto polynomials
16. Nonlinear stochastic wave behavior: optical soliton solutions and energy analysis of dispersive Maccari system via hybrid analytical methods
17. Data-driven soliton solutions for the perturbed modified Gardner equation in stratified oceanic fluids via orthogonal neural network
18. KAM theory for almost-periodic equilibria in one-dimensional almost-periodic media (1 citations)
19. An initial value approach to the excitation of atmospheric Lamb and Pekeris waves
20. Rank-1-perturbed trickledown theorems: Mixing time of Glauber dynamics for the Sherrington-Kirkpatrick model up to $β\leq \frac{1}{2}+\varepsilon$