Results 21 to 30 of about 149,239 (310)
Billingsley’s packing dimension [PDF]
Proceedings of the American Mathematical Society, 2007 For a stochastic process on a finite state space, we define the notion of a packing measure based on the naturally defined cylinder sets. For any two measures ν \nu , γ \gamma , corresponding to the same stochastic process, if \[ F ⊆ { ω ∈ Ω :
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A Formula of Packing Pressure of a Factor Map
Entropy, 2017 In this paper, using the notion of packing pressure, we show a formula of packing pressure of a factor map. We also give an application in conformal repellers.
Cao Zhao +3 more
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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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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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The packing spectrum for Birkhoff averages on a self-affine repeller [PDF]
, 2010 We consider the multifractal analysis for Birkhoff averages of continuous potentials on a self-affine Sierpi\'{n}ski sponge. In particular, we give a variational principal for the packing dimension of the level sets.
Reeve, Henry WJ
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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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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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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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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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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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