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Ecology and Evolution, Volume 16, Issue 3, March 2026.Türkiye lies at the intersection of three global biodiversity hotspots yet is recognised as a global plant‐diversity "dark spot." Using > 15,000 georeferenced herbarium records and spatial regression models, we examined the environmental drivers of Brassicaceae species and endemic richness across the country. Species richness increased with topographic
İlayda Dumlupınar +2 more
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The Steiner tree problem on graphs: inapproximability results [PDF]
, 2008 The Steiner tree problem on weighted graphs seeks a minimum weight subtree containing a given subset of the vertices (terminals). We show that it is NP-hard to approximate the Steiner tree problem within a factor 96/95.
Chlebikova, Janka +4 more
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Inequalities and counterexamples for functional intrinsic volumes and beyond
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that analytic analogs of Brunn–Minkowski‐type inequalities fail for functional intrinsic volumes on convex functions. This is demonstrated both through counterexamples and by connecting the problem to results of Colesanti, Hug, and Saorín Gómez.
Fabian Mussnig, Jacopo Ulivelli
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Lasso Penalization for High‐Dimensional Beta Regression Models: Computation, Analysis, and Inference
Stat, Volume 14, Issue 4, December 2025.ABSTRACT Beta regression is commonly employed when the outcome variable is a proportion. Since its conception, the approach has been widely used in applications spanning various scientific fields. A series of extensions have been proposed over time, several of which address variable selection and penalized estimation, e.g., with an ℓ1$$ {\ell}_1 ...
Niloofar Ramezani, Martin Slawski
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, 1954 Correspondence sent from Edmund F. Steiner to Reverend Boohar in response to the Reverend s recent letter. Steiner notes that to date, no violence has taken place in Milford and that the decision to remove the Black students from the school was made in ...
Steiner, Edmund
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Planar Rectangular Sets and Steiner Symmetrization
Elemente der Mathematik, 1998 The paper concerns (in fact) compact convex subsets of the Euclidean plane (though the author does not assume compactness). A set \(K\) is said to be rectangular with respect to a pair of orthogonal lines if no inscribed rectangle with sides parallel to those lines has exactly three of its vertices on the boundary of \(K\).
openaire +2 more sources
New fiber and graph combinations of convex bodies
Mathematika, Volume 71, Issue 4, October 2025.Abstract Three new combinations of convex bodies are introduced and studied: the Lp$L_p$ fiber, Lp$L_p$ chord, and graph combinations. These combinations are defined in terms of the fibers and graphs of pairs of convex bodies, and each operation generalizes the classical Steiner symmetral, albeit in different ways.
Steven Hoehner, Sudan Xing
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Convergence of symmetrization processes [PDF]
, 2022 Steiner and Schwarz symmetrizations, and their most important relatives, the Minkowski, Minkowski-Blaschke, fiber, inner rotational, and outer rotational symmetrizations, are investigated.
Bianchi, Gabriele +2 more
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Mint: Discretely Integrable Moments for Symmetric Frame Fields
Computer Graphics Forum, Volume 44, Issue 5, August 2025.Abstract This paper studies the problem of unconstrained (e.g. not orthogonal or unit) symmetric frame field design in volumes. Our principal contribution is a novel (and theoretically well‐founded) local integrability condition for frame fields represented as a triplet of symmetric tensors of second, fourth, and sixth order.
J. Vekhter, Z. Chen, E. Vouga
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Lattice reduced and complete convex bodies
Journal of the London Mathematical Society, Volume 110, Issue 4, October 2024.Abstract The purpose of this paper is to study convex bodies C$C$ for which there exists no convex body C′⊊C$C^\prime \subsetneq C$ of the same lattice width. Such bodies will be called ‘lattice reduced’, and they occur naturally in the study of the flatness constant in integer programming, as well as other problems related to lattice width.
Giulia Codenotti, Ansgar Freyer
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