Number-conserving cellular automata with a von Neumann neighborhood of range one. (29th September 2017)
- Record Type:
- Journal Article
- Title:
- Number-conserving cellular automata with a von Neumann neighborhood of range one. (29th September 2017)
- Main Title:
- Number-conserving cellular automata with a von Neumann neighborhood of range one
- Authors:
- Wolnik, Barbara
Dzedzej, Adam
Baetens, Jan M
De Baets, Bernard - Abstract:
- Abstract: We present necessary and sufficient conditions for a cellular automaton with a von Neumann neighborhood of range one to be number-conserving. The conditions are formulated for any dimension and for any set of states containing zero. The use of the geometric structure of the von Neumann neighborhood allows for computationally tractable conditions even in higher dimensions.
- Is Part Of:
- Journal of physics. Volume 50:Number 43(2017)
- Journal:
- Journal of physics
- Issue:
- Volume 50:Number 43(2017)
- Issue Display:
- Volume 50, Issue 43 (2017)
- Year:
- 2017
- Volume:
- 50
- Issue:
- 43
- Issue Sort Value:
- 2017-0050-0043-0000
- Page Start:
- Page End:
- Publication Date:
- 2017-09-29
- Subjects:
- cellular automata -- number-conservation -- von Neumann neighborhood
Mathematical physics -- Periodicals
Statistical physics -- Periodicals
Quantum theory -- Periodicals
Matter -- Properties -- Periodicals
530.105 - Journal URLs:
- http://ioppublishing.org/ ↗
http://www.iop.org/EJ/journal/JPhysA ↗ - DOI:
- 10.1088/1751-8121/aa89cf ↗
- Languages:
- English
- ISSNs:
- 1751-8113
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library STI - ELD Digital store - Ingest File:
- 11084.xml