Results 1 to 10 of about 77 (76)
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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On unitarily invariant norms of matrix-valued linear positive operators
Journal of Inequalities and Applications, 2002 In this paper we prove several inequalities concerning invariant norms of matrices belonging to the range of some matrix-valued Linear Positive Operator (LPO).
Tilli Paolo, Capizzano Stefano Serra
doaj
On special matrices related to Cauchy and Toeplitz matrices
, 2019 In this paper, we are going to calculate the determinant of a certain type of square matrices, which are related to the well-known Cauchy and Toeplitz matrices. Then, we will use the results to determine the rank of special non-square matrices.
openaire +2 more sources
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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