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Symplectic Packing in Dimension 4 [PDF]
Geometric And Functional Analysis, 1997 We discuss closed symplectic 4-manifolds which admit full symplectic packings by $N$ equal balls for large $N$'s. We give a homological criterion for recognizing such manifolds. As a corollary we prove that ${\Bbb C}P^2$ can be fully packed by $N$ equal balls for every $N\geq 9$.
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Packing dimension and Cartesian products [PDF]
Transactions of the American Mathematical Society, 1996 We show that for any analytic set A A in R d \mathbf {R}^d , its packing dimension dim P ( A ) \dim _{\mathrm {P}}(A) can be represented as
Bishop, Christopher J., Peres, Yuval
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Patterns formed by chains of magnetic beads [PDF]
EPJ Web of Conferences, 2021 Magnetic beads attract each other forming rather stable chains. We consider such chains formed by magnetic beads and push them into a Hele-Shaw cell either from the boundary or from the center.
Borges Danilo S. +4 more
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Generating dense packings of hard spheres by soft interaction design
SciPost Physics, 2018 Packing spheres efficiently in large dimension $d$ is a particularly difficult optimization problem. In this paper we add an isotropic interaction potential to the pure hard-core repulsion, and show that one can tune it in order to maximize a lower ...
Thibaud Maimbourg, Mauro Sellitto, Guilhem Semerjian, Francesco Zamponi
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Spectral Action Models of Gravity on Packed Swiss Cheese Cosmology [PDF]
, 2016 We present a model of (modified) gravity on spacetimes with fractal structure based on packing of spheres, which are (Euclidean) variants of the Packed Swiss Cheese Cosmology models. As the action functional for gravity we consider the spectral action of
Ball, Adam, Marcolli, Matilde
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Сучасні інформаційні системи, 2019 The subject matter of the paper is the problem of optimal packing of spheres of different dimension into a container of arbitrary geometric shape. The goal is to construct a mathematical model which associates different statements of the problem.
Georgiy Yaskov, Sergiy Shekhovtsov
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Geofluids, 2021 This paper explores the development laws of the fluidity, compressive strength, and autogenous shrinkage of ultrahigh performance cement (UHPC) mixed with limestone powder (LP) and highly active ground slag powder (SP).
Menghui Yang +4 more
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Scaling properties of the number of random sequential adsorption iterations needed to generate saturated random packing [PDF]
, 2016 The properties of the number of iterations in random sequential adsorption protocol needed to generate finite saturated random packing of spherically symmetric shapes were studied.
Cieśla, Michał
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Some typical properties of dimensions of sets and measures
Abstract and Applied Analysis, 2005 This paper contains a review of recent results concerning typical properties of dimensions of sets and dimensions of measures. In particular, we are interested in the Hausdorff dimension, box dimension, and packing dimension of sets and in the Hausdorff ...
Józef Myjak
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On the densest packing of polycylinders in any dimension [PDF]
, 2016 Using transversality and a dimension reduction argument, a result of A. Bezdek and W. Kuperberg is applied to polycylinders $\mathbb{D}^2\times \mathbb{R}^n$, showing that the optimal packing density is $\pi/\sqrt{12}$ in any dimension.Comment: Edited to
Kusner, Wöden
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