273 papers
This paper introduces a novel multiplicative Y-index, derives its exact value for the tensor product of graphs and establishes upper bounds for various other graph products in terms of existing degree-based indices, and applies these results to compute the index for several polycyclic chemical compounds.
This paper evaluates three numerical homogenization closures for simulating heat transfer with phase transitions in heterogeneous frozen soils, finding that while h-smoothing yields superior temperature accuracy, a table-based approach provides more precise predictions of the thawing front position, particularly when the phase-transition temperature varies.
This paper derives an asymptotic approximation for the deficit of a specific Gaussian integral involving the cumulative and density functions of a standard half-Gaussian distribution, a result motivated by applications in high-dimensional compressed sensing and winner's problems where such integrals arise in comparing the maxima of absolute values from independent Gaussian vectors.
This paper establishes a genuine phase transition for the weight-dependent random connection model on a Poisson point process, proving that finite components exist when while an infinite component emerges when , and extends these results to the age-dependent random connection model using novel arguments involving "rainbow" disconnections and hyperbolic Peierls arguments.
This paper analyzes a piecewise-smooth epidemic model to demonstrate that hospital overload can occur during transient outbreaks due to bistability and grazing bifurcations, revealing that even when an endemic state is within routine capacity, the system remains dynamically unsafe.
This paper extends the deterministic biform game framework to stochastic environments for linear production and sequencing processes by introducing a scenario-wise Owen allocation mechanism and an endogenous gain-sharing rule, proving the existence of pure-strategy Nash equilibria, and developing a sample average approximation-based branch-and-bound algorithm to solve large-scale instances.
This paper quantifies the economic value of imperfect advance warnings for transportation gateway disruptions by modeling an optimal inventory hedging policy that reveals how lead time, false alarm rates, and surge capacity constraints determine the cost-saving potential of such detection systems.
This paper introduces a singularity-aware cubic-Hermite neural collocation method that leverages product-integration and exact boundary enforcement to achieve high-accuracy solutions and parameter identification for semilinear time-fractional reaction–diffusion equations, significantly outperforming classical L1 schemes in handling temporal singularities.
This paper introduces a CGMY-Hawkes clock model where jump activity clusters via self-excitation while preserving the CGMY jump-size law, establishes that the two-parametric Esscher transform maintains this self-excitation under a change of measure, derives a unique model-preserving minimal entropy martingale measure, and provides exact European option pricing formulas that explicitly depend on excitation parameters rather than just mean intensity.
This paper proves four Ramanujan-type congruence families for the overpartition function proposed by Xuanling Wei, utilizing advanced modular forms techniques to establish results modulo 7, 19, 17, and 23 while also deriving new Hecke identities and providing reproducible verifications.