Using the kinematics of the RC linkage to find the degree of the adjoint representation of
J. M. Selig
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Siegel–Veech constants for cyclic covers of generic translation surfaces
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
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Modeling dysentery spread and the impact of public awareness on control dynamics. [PDF]
Sci RepAhmed KK +9 more
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Beyond the Hodge theorem: Curl and asymmetric pseudodifferential projections
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We develop a new approach to the study of spectral asymmetry. Working with the operator curl:=∗d$\operatorname{curl}:={*}\mathrm{d}$ on a connected oriented closed Riemannian 3‐manifold, we construct, by means of microlocal analysis, the asymmetry operator — a scalar pseudodifferential operator of order −3$-3$.
Matteo Capoferri, Dmitri Vassiliev
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Stochastic analysis of Mpox epidemiology with vaccination strategies and environmental persistence. [PDF]
Sci RepKhondaker F, Kamrujjaman M.
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Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.Rumor propagation significantly impacts both individual well‐being and societal stability, with various factors influencing its spread. While existing research has primarily focused on the role of interpersonal familiarity in rumor diffusion, this study introduces a different perspective: an individual’s familiarity with the subject matter itself plays
Weijun Yan, Yuhan Hu, Mengxin Chen
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Enhancing hydrodynamic efficiency in Autonomous Underwater Vehicles (AUVs) utilizing adjoint method and proper orthogonal decomposition. [PDF]
PLoS OneBhuiyan SA, Hasan MJ, Hoque MA.
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A Pincherle‐Type Convergence Theorem for Generalized Continued Fractions in Banach Algebras
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This contribution is dedicated to the interdependence of higher order linear difference equations and generalized continued fractions in Banach algebras. It turns out that the computation of certain subdominant solutions of a higher order linear difference equation can be done more efficiently by considering its adjoint equation.
Hendrik Baumann +2 more
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Effective Behaviour of Critical-Contrast PDEs: Micro-Resonances, Frequency Conversion, and Time Dispersive Properties. II. [PDF]
Commun Math PhysCherednichenko K +3 more
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International Journal for Numerical Methods in Engineering, Volume 126, Issue 24, 30 December 2025.ABSTRACT Eigenvalue and eigenvector sensitivities with respect to design parameters are crucial for advancing design, optimization, and uncertainty quantification in structural systems. This paper introduces a novel, efficient, and general numerical method for computing arbitrary‐order sensitivities of eigenpairs in self‐adjoint undamped and ...
Juan C. Velasquez‐Gonzalez +4 more
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