Results 51 to 60 of about 6,215,042 (159)
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT In this work, novel electrostatic aspects of sharp cracks in brittle dielectrics are discussed using the example of an impermeable Griffith crack in an infinite linear isotropic dielectric plate. On the one hand, electrostatic force densities stemming from the Maxwell stress tensor according to Lorentz are derived mathematically, where the ...
Lennart Behlen +2 more
wiley +1 more source
Asymptotic expansions in functional limit theorems [PDF]
, 1985 Asymptotic expansions for a class of functional limit theorems are investigated. It is shown that the expansions in this class fit into a common scheme, defined by a sequence of functions hn (ε1,…, εn), n ≥ 1, of “weights” (for n observations), which are
Götze, F.
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Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson +2 more
wiley +1 more source
Functional Limit Theorems for Occupation Time Fluctuations of Branching Systems in the Cases of Large and Critical Dimensions [PDF]
Functional central limit theorem; Occupation time fluctuation; Branching particle system; Generalized Wiener process; Critical ...
Luis G. Gorostiza +2 more
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Magnetic Resonance in Medicine, Volume 96, Issue 5, Page 2489-2504, November 2026.ABSTRACT Purpose To improve the accuracy of diffusion‐weighted powder average signals for diffusion encoding with arbitrary b‐tensors. Methods We identify an intrinsic dihedral (D2) symmetry of diffusion signals for arbitrary diffusion encoding, which defines their natural signal space (a quotient of 3D rotations). Based on this, we propose a method to
Sune Nørhøj Jespersen +1 more
wiley +1 more source
Advances in causal discovery methods for ecological time series
Biological Reviews, Volume 101, Issue 5, Page 2313-2336, October 2026.ABSTRACT Recent advances in data collection technologies (e.g. automated sensor networks, satellite remote sensing, and high‐throughput sequencing) have greatly expanded the availability of ecological time series, enabling new opportunities for causal analyses in dynamic ecosystems.
Kenta Suzuki +6 more
wiley +1 more source
Proteins: Structure, Function, and Bioinformatics, Volume 94, Issue 10, Page 1671-1685, October 2026.ABSTRACT The GTPase KRAS executes a conformational switch between a GTP‐bound active state and a GDP‐bound inactive state, a process central to oncogenic signaling. However, the structural basis of this switching at the level of residue‐contact organization remains incompletely characterized by traditional binary structural models.
Fatma Senguler Ciftci, Burak Erman
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Asymptotic Theory for Zero Energy Density Estimation with Nonparametric Regression Applications [PDF]
A local limit theorem is given for the sample mean of a zero energy function of a nonstationary time series involving twin numerical sequences that pass to infinity.
Peter C. B. Phillips, Qiying Wang
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Teaching Statistics, Volume 48, Issue 3, Page 185-197, Autumn (Fall) 2026.Abstract Statistical hypothesis testing (SHT) is widely employed across numerous scientific disciplines, and a clear understanding of its underlying logic is essential for the broader scientific community. Here, drawing upon both epistemological and statistical perspectives, we aim to clarify—primarily for educational purposes—the logical relationship ...
Maria Cristina Amoretti +1 more
wiley +1 more source
Solving Stochastic Climate‐Economy Models: A Deep Least‐Squares Monte Carlo Approach
Mathematical Finance, Volume 36, Issue 4, Page 751-770, October 2026.ABSTRACT Stochastic versions of recursive integrated climate‐economy assessment models are essential for studying and quantifying policy decisions under uncertainty. However, as the number of state variables and stochastic shocks increases, solving these models via deterministic grid‐based dynamic programming (e.g., value‐function iteration/projection ...
Aleksandar Arandjelović +4 more
wiley +1 more source