Higher-order Laplacian Renormalization

Code implementation for the paper Nurisso, M., Morandini, M., Lucas, M., Vaccarino, F., Gili, T., & Petri, G. (2024). Higher-order Laplacian Renormalization. arXiv preprint arXiv:2401.11298.

Contents

• Scripts
  • plotting.py: functions to plot 2-dimensional simplicial complexes;
  • renormalize.py: functions to compute the entropic susceptibility and renormalize simplicial complexes;
  • scomplex.py: functions to work with simplicial complexes, generate them and compute their cross-order Laplacians.
• Notebooks: jupyter notebooks for reproducing the paper's figures.
• Data: datasets and pre-computed entropic susceptibility curves.

The code was tested for Python 3.11 and the dependencies specified in requirements.txt.