Cluster_Analyzer

cluster_analyzer is a Python library designed to analyze critical behavior, self-similarity, and fractal dimensions of clusters in cellular automata. It provides tools for simulating cluster formation, performing statistical analyses, and visualizing results.

Features

• Optimized cluster detection
• Simulate Logistic Game of Life (LGOL) and find polynomial solutions.
• Analyze cluster sizes and their distributions.
• Perform power-law fitting and goodness-of-fit tests and visualizations based on powerlaw package developed in on the statistical methods developed in Clauset et al. 2007 and Klaus et al. 2011.
• Generate Probability Density Function (PDF) and Complementary Cumulative Distribution Function (CCDF) plots.

Installation

You can install ClusterAnalyzer via pip:

$ pip install cluster-analyzer

or clone the repository and install it manually:

$ git clone https://github.com/HakanAkgn/ClusterAnalyzer.git
$ cd ClusterAnalyzer
$ pip install . 

to install optional dependencies to reproduce all the figures in the paper, run:

$ pip install .[all]

Check the installation:

import cluster_analyzer as ca
print(ca.__version__)

Usage

See the Demo Notebook for examples of each function.

See the Data Display Notebook for a detailed view of the dataset and visualizations used in the paper.

Citation

If you find this work useful, please cite our paper:

@misc{akgun2025scaleinvariantdynamicspurelydeterministic,
      title={Scale-invariant dynamics in a purely deterministic Game of Life model}, 
      author={Hakan Akgun and Xianquan Yan and Tamer Taskiran and Muhamet Ibrahimi and Ching Hua Lee and Seymur Jahangirov},
      year={2025},
      eprint={2411.07189},
      archivePrefix={arXiv},
      primaryClass={cond-mat.stat-mech},
      url={https://arxiv.org/abs/2411.07189}, 
}