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- Publisher Website: 10.1063/1.530022
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Article: On the structure of absolute steady states in sandpile type of cellular automata: The geometrical aspect
Title | On the structure of absolute steady states in sandpile type of cellular automata: The geometrical aspect |
---|---|
Authors | |
Issue Date | 1993 |
Publisher | American Institute of Physics. The Journal's web site is located at http://ojps.aip.org/jmp/ |
Citation | Journal of Mathematical Physics, 1993, v. 34 n. 9, p. 4014-4024 How to Cite? |
Abstract | It is proved that all bounded subsets of ℛn with nonempty interior are cutable. Also found is an if and only if classification of when a nontrivial absolute steady state (ASS) of the sandpile-type cellular automata model will exist. The classification helps one to narrow down the geometrical structure of the ASS and is applicable to both Abelian and non-Abelian models. It is important for the future studies of self-organized criticality. © 1993 American Institute of Physics. |
Persistent Identifier | http://hdl.handle.net/10722/175102 |
ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 0.569 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chung, SK | en_US |
dc.contributor.author | Chau, HF | en_US |
dc.date.accessioned | 2012-11-26T08:49:12Z | - |
dc.date.available | 2012-11-26T08:49:12Z | - |
dc.date.issued | 1993 | en_US |
dc.identifier.citation | Journal of Mathematical Physics, 1993, v. 34 n. 9, p. 4014-4024 | - |
dc.identifier.issn | 0022-2488 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/175102 | - |
dc.description.abstract | It is proved that all bounded subsets of ℛn with nonempty interior are cutable. Also found is an if and only if classification of when a nontrivial absolute steady state (ASS) of the sandpile-type cellular automata model will exist. The classification helps one to narrow down the geometrical structure of the ASS and is applicable to both Abelian and non-Abelian models. It is important for the future studies of self-organized criticality. © 1993 American Institute of Physics. | en_US |
dc.language | eng | en_US |
dc.publisher | American Institute of Physics. The Journal's web site is located at http://ojps.aip.org/jmp/ | en_US |
dc.relation.ispartof | Journal of Mathematical Physics | en_US |
dc.title | On the structure of absolute steady states in sandpile type of cellular automata: The geometrical aspect | en_US |
dc.type | Article | en_US |
dc.identifier.email | Chau, HF: hfchau@hku.hk | en_US |
dc.identifier.authority | Chau, HF=rp00669 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1063/1.530022 | - |
dc.identifier.scopus | eid_2-s2.0-36448999425 | en_US |
dc.identifier.volume | 34 | en_US |
dc.identifier.issue | 9 | en_US |
dc.identifier.spage | 4014 | en_US |
dc.identifier.epage | 4024 | en_US |
dc.identifier.isi | WOS:A1993LV18700013 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Chung, SK=17233521800 | en_US |
dc.identifier.scopusauthorid | Chau, HF=7005742276 | en_US |
dc.identifier.issnl | 0022-2488 | - |