Uniqueness of the Infinite Component for Percolation on a Hierarchical Lattice

Author

Shang, Yilun

Source

ISRN Discrete Mathematics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-09-11

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

We study a long-range percolation in the hierarchical lattice ΩN of order N where probability of connection between two nodes separated by distance k is of the form min{αβ−k,1}, α≥0 and β>0.

We show the uniqueness of the infinite component for this model.

American Psychological Association (APA)

Shang, Yilun. 2012. Uniqueness of the Infinite Component for Percolation on a Hierarchical Lattice. ISRN Discrete Mathematics،Vol. 2012, no. 2012, pp.1-6.
https://search.emarefa.net/detail/BIM-496458

Modern Language Association (MLA)

Shang, Yilun. Uniqueness of the Infinite Component for Percolation on a Hierarchical Lattice. ISRN Discrete Mathematics No. 2012 (2012), pp.1-6.
https://search.emarefa.net/detail/BIM-496458

American Medical Association (AMA)

Shang, Yilun. Uniqueness of the Infinite Component for Percolation on a Hierarchical Lattice. ISRN Discrete Mathematics. 2012. Vol. 2012, no. 2012, pp.1-6.
https://search.emarefa.net/detail/BIM-496458

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-496458