Results 11 to 20 of about 95 (86)
Optimal Allocation of Observations in Stepped-Wedge and Other Cluster Studies With Correlated Cluster-Period Effects. [PDF]
Stat MedABSTRACT Stepped‐wedge studies usually entail regular sampling of clusters over time. Yet the precision of the treatment effect estimator can sometimes be improved if the regular sampling scheme is replaced by one with preferential allocation of observations to particular time‐epochs within each cluster. We present some exact results for optimizing the
Girling AJ, Watson SI.
europepmc +2 more sources
On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
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Discrete analogues of second‐order Riesz transforms
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Discrete analogues of classical operators in harmonic analysis have been widely studied, revealing deep connections with areas such as ergodic theory and analytic number theory. This line of research is commonly known as Discrete Analogues in Harmonic Analysis (DAHA).
Rodrigo Bañuelos, Daesung Kim
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Steady‐State Spread Bounds for Graph Diffusion via Laplacian Regularisation in Networked Systems
IET Networks, Volume 15, Issue 1, January/December 2026.We study how an engineered initial pattern on a fixed network blurs under linear diffusion and provide a steady‐state upper bound on the resulting deviation. The bound cleanly separates an unavoidable floor set by network connectivity and diffusion strength from a design‐controlled term that shrinks when the initial pattern is smoothed with a graph ...
Ardavan Rahimian
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Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract In this paper, we consider a class of higher‐order equations and show a sharp upper bound on fractional powers of unbounded linear operators associated with higher‐order abstract equations in Hilbert spaces.
Flank D. M. Bezerra +2 more
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New Inequalities and an Integral Expression for the 𝒜‐Berezin Number
Journal of Mathematics, Volume 2026, Issue 1, 2026.This work examines a reproducing kernel Hilbert space XF,·,· constructed on a nonempty set F. Our investigation focuses on the A‐Berezin number and the A‐Berezin norm, where A denotes a positive bounded linear operator acting on XF. For an A‐bounded linear operator B, the A‐Berezin seminorm is defined by BberA=supλ,ν∈FBu∧λ,u∧νA, where u∧λ and u∧ν are ...
Salma Aljawi +4 more
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Space‐Time Boundary Elements on Graded Meshes for 3D Elastodynamics
International Journal for Numerical Methods in Engineering, Volume 126, Issue 20, 30 October 2025.ABSTRACT The solution to the elastodynamic equations in the exterior of a polygonal or polyhedral domain or a screen exhibits singularities at corners and edges. This paper presents a space‐time boundary element method in 3D on algebraically graded meshes to resolve these singularities, based on recently obtained error estimates for the weakly singular
Alessandra Aimi +3 more
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Advanced Photonics Research, Volume 6, Issue 9, September 2025.Coherent anti‐stokes Raman spectroscopy (CARS) enables high‐resolution vibrational imaging, yet non‐resonant background (NRB) distorts spectral fidelity. This review highlights NRB removal methods—from experimental strategies and numerical algorithms to emerging deep learning techniques.
Rajendhar Junjuri, Thomas Bocklitz
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Road traffic estimation and algorithmic routing in a spatially dependent network
Scandinavian Journal of Statistics, Volume 52, Issue 2, Page 1058-1091, June 2025.ABSTRACT This work concerns a procedure to estimate the joint distribution of the per‐edge travel times in a road traffic network with spatial dependence. The constructed estimator, based on the realized travel times of a collection of independently operating probe vehicles traversing the network, is shown to be consistent and rate‐optimal.
Rens Kamphuis +2 more
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On the stability of Runge–Kutta methods for arbitrarily large systems of ODEs
Communications on Pure and Applied Mathematics, Volume 78, Issue 4, Page 821-855, April 2025.Abstract We prove that Runge–Kutta (RK) methods for numerical integration of arbitrarily large systems of Ordinary Differential Equations are linearly stable. Standard stability arguments—based on spectral analysis, resolvent condition or strong stability, fail to secure the stability of RK methods for arbitrarily large systems.
Eitan Tadmor
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