2009
DOI: 10.1007/s12204-009-0626-x
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Infinite clusters in locally dependent percolation on ℤ d

Abstract: Techniques of Burton-Keane, developed earlier for independent percolation on Z d , are adapted to the setting of locally dependent percolation on Z d for d 2. The main result of this paper is a uniqueness theorem, that there exists almost surely a unique infinite out-cluster in locally dependent percolation on Z d , under the finite energy condition.

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Cited by 11 publications
(12 citation statements)
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“…The most widely studied drug delivery scaffolds are biodegradable polymer composed, such as polyarylates (PLA, PLGA, PGA, etc.). [17][18][19] Though they have been already used for growth factor loading with controlled release kinetics, the pure polymer scaffolds have inherent disadvantages as bone repair materials because of their inadequate osteoconductivity. 20 In contrast, traditional inorganic bioceramic scaffolds (e.g.…”
Section: Introductionmentioning
confidence: 99%
“…The most widely studied drug delivery scaffolds are biodegradable polymer composed, such as polyarylates (PLA, PLGA, PGA, etc.). [17][18][19] Though they have been already used for growth factor loading with controlled release kinetics, the pure polymer scaffolds have inherent disadvantages as bone repair materials because of their inadequate osteoconductivity. 20 In contrast, traditional inorganic bioceramic scaffolds (e.g.…”
Section: Introductionmentioning
confidence: 99%
“…In 2019, out of the district's total 740,000 residents, approximately one third had rural hukou status, and about one quarter were registered as non‐local residents (Liu & Ye, 2020), indicating a large population of peri‐urban residents. Like in the rural communities, most caregivers in the sampled peri‐urban community speak the Sichuanese dialect of Mandarin at home (Xu, 1999).…”
Section: Methodsmentioning
confidence: 99%
“…The stress concentration factor increases with the depth of the pit, and the stress tends to increase when the pit is more elongated in the direction normal to the applied load [ 8 ]. Figure 10 shows an ellipsoidal pit in a 2-dimensional infinite solid under far-field tensile forces [ 50 ]. According to the results of Inglis on the stress concentration around an elliptical hole [ 51 ], the stress distribution is described in Equation (3) and Equation (4).…”
Section: Influence Of Pitting Geometry On the Tensile Behavior Of mentioning
confidence: 99%
“…Figure 11 shows the relationship between defect size and failure strength [ 50 ]. When λ = 1, an ellipsoidal hole reduces to a spherical hole and the strength of materials reaches its maximum.…”
Section: Influence Of Pitting Geometry On the Tensile Behavior Of mentioning
confidence: 99%