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Continuum percolation theory — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Continuum_percolation_theory
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-06T11:28:44.249Z
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Continuum percolation theory — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Continuum_percolation_theory (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_be02df20acae (Metraipolis archive dc_be02df20acae, sha256 e71407a6e98789759ed8da9146eaf5f6a96ab4de64c294d6e6f1a69ffa19d2d8)

BibTeX

@misc{dcbe02df20acae,
  title = {Continuum percolation theory — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Continuum_percolation_theory},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_be02df20acae; sha256 e71407a6e98789759ed8da9146eaf5f6a96ab4de64c294d6e6f1a69ffa19d2d8},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Continuum_percolation_theory. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In mathematics and probability theory, continuum percolation theory is a branch of mathematics that extends discrete percolation theory to continuous space (often Euclidean space ℝn). More specifically, the underlying points of discrete percolation form types of lattices whereas the underlying points of continuum percolation are often randomly positioned in some continuous space and form a type of point process. For each point, a random shape is frequently placed on it and the shapes overlap each with other to form clumps or components. As in discrete percolation, a common research focus of continuum percolation is studying the conditions of occurrence for infinite or giant components. Other shared concepts and analysis techniques exist in these two types of percolation theory as well as the study of random graphs and random geometric graphs. Continuum percolation arose from an early mathematical model for wireless networks, which, with the rise of several wireless network technologies in recent years, has been generalized and studied in order to determine the theoretical bounds of information capacity and performance in wireless networks. In addition to this setting, continuum percolation has gained application in other disciplines including biology, geology, and physics, such as the study of porous material and semiconductors, while becoming a subject of mathematical interest in its own right.

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; categoria «Probability theory»).
Fonte: Wikipedia in inglese, voce «Continuum percolation theory» — https://en.wikipedia.org/wiki/Continuum_percolation_theory
Wikidata Q17005777: «Branch of mathematics in probability theory» (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q17005777
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Continuum_percolation_theory?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1374359119, consultata il 2026-10-06T09:52:28.961Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 321ce7f394ab901872ce87f399b4fac401b5583cde11ae749059644459a96b80