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Maximal edge-traversal time in First Pas...

Nakajima, Shuta...

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Maximal edge-traversal time in First Passage Percolation by Nakajima, Shuta ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	08-08-2023
Summary	In this paper, we study the maximal edge-traversal time (simply we call maximal weight hereafter) on the optimal paths in the first passage percolation for several edge distributions, including the Pareto and Weibull distributions. It is known to be unbounded when the edge distribution has unbounded support [J. van den Berg and H. Kesten. Inequalities for the time constant in first-passage percolation. Ann. Appl. Probab. 56-80, 1993]. We determine the order of the growth up to a multiplicative constant.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1605.04787

Citation

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AMA 11th EditionReferences

Nakajima, Shuta. Maximal edge-traversal time in First Passage Percolation. Australian National University. August 08, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/13097

APA 7th EditionReferences

Nakajima, Shuta. (2023). Maximal edge-traversal time in First Passage Percolation. Australian National University. https://online.provdatabase.com/cite/13097

Chicago 17th EditionReferences

Nakajima, Shuta. Maximal edge-traversal time in First Passage Percolation. Australian National University. 2023. https://online.provdatabase.com/cite/13097

HarvardReferences

Nakajima, Shuta. (2023). Maximal edge-traversal time in First Passage Percolation. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/13097. (Accessed 02 October 2025).

Harvard AustraliaReferences

Nakajima, Shuta, 2023, Maximal edge-traversal time in First Passage Percolation, Australian National University, viewed 02 October 2025, <https://online.provdatabase.com/cite/13097>

MLA 9th EditionWorks Cited

Nakajima, Shuta. Maximal edge-traversal time in First Passage Percolation. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/13097.

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