Results 41 to 50 of about 723 (89)
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Heilbronn's triangle problem is a classical question in discrete geometry. It asks to determine the smallest number Δ=Δ(N)$\Delta = \Delta (N)$ for which every collection in N$N$ points in the unit square spans a triangle with area at most Δ$\Delta$.
Dmitrii Zakharov
wiley +1 more source
Three topics in additive prime number theory
, 2007 This is an expository article to accompany my two lectures at the CDM conference. I have used this an excuse to make public two sets of notes I had lying around, and also to put together a short reader's guide to some recent joint work with T.Tao ...
Green, Ben
core +2 more sources
From simplex slicing to sharp reverse Hölder inequalities
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Simplex slicing (Webb, 1996) is a sharp upper bound on the volume of central hyperplane sections of the regular simplex. We extend this to sharp bounds in the probabilistic framework of negative moments, and beyond, of centred log‐concave random variables, establishing a curious phase transition of the extremising distribution for new sharp ...
James Melbourne +3 more
wiley +1 more source
Machine Learning Assisted Fluorescent Sensor Array for Sensing Applications
Advanced Sensor Research, Volume 5, Issue 2, February 2026.Chemical analysis is being revolutionized by the combination of the high‐dimensional, multi‐channel signals generated by fluorescent sensor arrays and the powerful data analysis enabled by machine learning. This review covers state‐of‐the‐art studies that use machine learning techniques for the identification and quantification of fluorescent sensor ...
Haobo Guo +2 more
wiley +1 more source
Ecology and Evolution, Volume 16, Issue 2, February 2026.Quantifying phenotypic plasticity, the capacity of organisms to adjust phenotypes in response to environmental changes, is essential in understanding ecological and physiological resilience under climate stress. Here, we introduce a novel statistical approach, the Environmentally Standardised Plasticity Index (*ESPI), which integrates Hedges'g for ...
Lilian Hoch +5 more
wiley +1 more source
Color and gloss constancy under diverse lighting environments. [PDF]
J Vis, 2023 Morimoto T +6 more
europepmc +1 more source
Regenerative Composition Structures
, 2003 A new class of random composition structures (the ordered analog of Kingman's partition structures) is defined by a regenerative description of component sizes.
Gnedin, Alexander, Pitman, Jim
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Graded hypoellipticity of BGG sequences. [PDF]
Ann Glob Anal Geom (Dordr), 2022 Dave S, Haller S.
europepmc +1 more source
Cellular organization in lab-evolved and extant multicellular species obeys a maximum entropy law. [PDF]
Elife, 2022 Day TC +11 more
europepmc +1 more source
Orthogonal polynomials on the unit circle: New results
, 2004 We announce numerous new results in the theory of orthogonal polynomials on the unit ...
Simon, Barry
core