141 papers
This paper establishes a connection between triplewise independent random variables and complete bipartite graphs to construct such variables, then derives variance gamma approximation bounds for their sums using Stein's method and the generalized zero-bias transformation.
This paper investigates the global dynamics of a fractional reaction–diffusion epidemic model incorporating nonlocal asymptomatic transmission, crowding-dependent incidence, and periodic intermittent treatment by establishing the well-posedness and asymptotic behavior of solutions through semigroup theory and estimates, supported by numerical simulations.
This paper proposes a locally optimal parameter selection strategy for over-relaxed projected-forward iterations in cocoercive variational inequalities, demonstrating that after identifying active constraints, spectral tuning of the relaxation parameter (and potentially the forward step) significantly accelerates convergence compared to standard global settings.
This paper establishes the global well-posedness, uniform boundedness, and disease-free convergence conditions for a mixed fractional-classical reaction-diffusion epidemic model featuring nonlocal asymptomatic transmission and periodic intermittent treatment, while validating these theoretical findings through numerical simulations of the system's complex spatiotemporal dynamics.
This paper establishes the global well-posedness and asymptotic behavior of a spatially heterogeneous nonlocal SIR model with distinct diffusion rates and intermittent treatment by employing semigroup theory and a diffusive limit approach to overcome the lack of classical parabolic smoothing, with numerical simulations confirming the theoretical findings.
This paper establishes that the interpolatory six-point Deslauriers--Dubuc subdivision scheme minimizes a discrete curvature-variation energy to achieve superior fairness, extends this variational framework to Riemannian surfaces via geodesic-midpoint lifts with explicit implementations on the sphere and hyperbolic plane, and demonstrates through benchmarks that the six-point scheme offers an optimal balance of fairness, locality, and robustness compared to its four- and eight-point counterparts.
This paper introduces a new subclass of bi-univalent functions defined via Gegenbauer polynomial convolution to derive coefficient bounds and Fekete-Szegö inequalities, which are then utilized to develop a GCEA algorithm that effectively enhances digital images by improving edge detection, preserving structural features, and increasing contrast.
This paper establishes a fundamental correspondence between the global combinatorial structure of finite regular cubical complexes and poset-based connected manifolds by proving that a complex's face poset is an n-PCM if and only if the complex itself is a cubically normal pseudomanifold, thereby providing a recognition algorithm for embedded voxel complexes.
This paper presents a coupled SVEIQR-SEI mathematical model of Mpox transmission between animal reservoirs and humans, which demonstrates that the disease can be eliminated when the basic reproduction number is below one and, upon calibration to the 2022 US outbreak, reveals that targeted quarantine and behavioral interventions were the primary drivers of containment while highlighting the shifting influence of reservoir dynamics across different epidemic phases.
This paper proposes and numerically validates a framework for the adaptive shrinkage calibration of fractional order and volatility within a time-fractional Black–Scholes model, demonstrating through Monte Carlo simulations and empirical S&P 500 data that raw estimates often converge to classical boundaries and exhibit strong local dependence, thereby necessitating stabilization strategies that balance parameter risk with out-of-sample option pricing performance under various loss functions.