Quasiconformal folding—a review of ‘Models for the Eremenko–Lyubich class'
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We review the paper ‘Models for the Eremenko–Lyubich class’ by Bishop, which appeared in the Journal of the London Mathematical Society in 2015, the first of two LMS papers for which Bishop received the LMS Senior Berwick Prize in 2024. This is one of a series of papers where Bishop introduced his new technique of quasiconformal folding, which
Philip J. Rippon
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Complete positivity and distance-avoiding sets. [PDF]
Math Program, 2022 DeCorte E, Filho FMO, Vallentin F.
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An EZ${\mathcal {E}\mathcal {Z}}$‐structure for the mapping class group
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We construct a boundary for the mapping class group Mod(S)${\rm Mod}(S)$ of a surface S$S$ of finite type. The action of Mod(S)${\rm Mod}(S)$ on this boundary is minimal, strongly proximal and topologically free. The boundary is the boundary of an EZ${\mathcal {E}\mathcal {Z}}$‐structure for Mod(S)${\rm Mod}(S)$.
Ursula Hamenstädt
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Biomolecular Topology: Modelling and Analysis. [PDF]
Acta Math Sin Engl Ser, 2022 Liu J, Xia KL, Wu J, Yau SS, Wei GW.
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The fractal brain: scale-invariance in structure and dynamics. [PDF]
Cereb Cortex, 2023 Grosu GF +8 more
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Hausdorff measures and packing premeasures
Hausdorff measures and packing premeasuresWe estimate the HausdorR measures and the packing premeasures of symmetric generalized Cantor sets in the d-dimensional Euclidean space R^d. Two simple estimations will be obtained. Let φ_1 and φ_2 be two measure functions. Suppose limt_(t→0) φ_2(t)/φ_1(t) = 0, limt_(t→0) φ_2(t)/t^d = ∞, and φ_1(t)/t^d is strictly decreasing as t increases. Then we can
openaire
The density theorem and Hausdorff inequality for packing measure in general metric spaces
Illinois Journal of Mathematics, 1995 There are two basic mechanisms (diameter method and radius method) for extending the definition of Euclidean packing measure to general metric spaces. Although the diameter method has received the most attention in the literature, we show that it is generally inferior to the radius method in preserving the desirable properties of Euclidean packing ...
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A multiscale generative model to understand disorder in domain boundaries. [PDF]
Sci Adv, 2023 Dan J +6 more
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Neural network-assisted automated image registration for MRI-guided adaptive brachytherapy in cervical cancer. [PDF]
Z Med Phys, 2022 Ecker S +8 more
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A Comprehensive Survey with Quantitative Comparison of Image Analysis Methods for Microorganism Biovolume Measurements. [PDF]
Arch Comput Methods Eng, 2023 Zhang J +8 more
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