Results 151 to 160 of about 71,879 (309)

Uncertainty quantification via polynomial chaos expansion of myocardial fibre orientation and cardiac activation patterns

open access: yesThe Journal of Physiology, EarlyView.
Abstract figure legend Graphical representation of methods. We implemented three biventricular geometric models (Zenger et al., 2020) with rule‐based myocardial fibre orientations (Bayer et al., 2018). We evaluated variability in the fibre orientation via four sets of parameter distributions to determine the role of the primary and imbrication angles ...
Lindsay C. R. Tanner   +8 more
wiley   +1 more source

Maximum Shattering

open access: yesJournal of Combinatorial Designs, Volume 33, Issue 12, Page 456-470, December 2025.
ABSTRACT A family ℱ of subsets of [ n ] = { 1 , 2 , … , n } shatters a set A ⊆ [ n ] if for every A ′ ⊆ A, there is an F ∈ ℱ such that F ∩ A = A '. We develop a framework to analyze f ( n , k , d ), the maximum possible number of subsets of [ n ] of size d that can be shattered by a family of size k.
Noga Alon   +2 more
wiley   +1 more source

Asymptotic expansion of $\beta $ matrix models in the multi-cut regime

open access: yesForum of Mathematics, Sigma
We establish the asymptotic expansion in $\beta $ matrix models with a confining, off-critical potential in the regime where the support of the equilibrium measure is a finite union of segments.
Gaëtan Borot, Alice Guionnet
doaj   +1 more source

On the deep‐water and shallow‐water limits of the intermediate long wave equation from a statistical viewpoint

open access: yesTransactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley   +1 more source

Truncated Floquet–Bloch transform for computing the spectral properties of large finite systems of resonators

open access: yesTransactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract In subwavelength physics, a challenging problem is to characterise the spectral properties of finite systems of subwavelength resonators. In particular, it is important to identify localised modes as well as bandgaps and associated mobility edges.
Habib Ammari   +2 more
wiley   +1 more source

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