Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Nonlinear Sciences > Cellular Automata and Lattice Gases

arXiv:2407.06175 (nlin)
[Submitted on 8 Jul 2024 (v1), last revised 16 Aug 2024 (this version, v2)]

Title:Classification of Cellular Automata based on the Hamming distance

Authors:Gaspar Alfaro, Miguel A. F. Sanjuán
View PDF HTML (experimental)
Abstract:Elementary cellular automata are the simplest form of cellular automata, studied extensively by Wolfram in the 1980s. He discovered complex behavior in some of these automata and developed a classification for all cellular automata based on their phenomenology. In this paper, we present an algorithm to classify them more effectively by measuring difference patterns using the Hamming distance. Our classification aligns with Wolfram's and further categorizes them into additional subclasses.
Subjects: Cellular Automata and Lattice Gases (nlin.CG)
Cite as: arXiv:2407.06175 [nlin.CG]
  (or arXiv:2407.06175v2 [nlin.CG] for this version)
  https://doi.org/10.48550/arXiv.2407.06175

Submission history

From: Gaspar Alfaro [view email]
[v1] Mon, 8 Jul 2024 17:49:56 UTC (290 KB)
[v2] Fri, 16 Aug 2024 19:06:41 UTC (292 KB)
Full-text links:

Access Paper:

license icon view license
Current browse context:
nlin.CG
< prev   |   next >
new | recent | 2024-07
Change to browse by:
nlin

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)