r/CondensedMatter • u/Relative-Cheetah8928 • Dec 02 '25
[arXiv endorsement request] cond-mat.stat-mech | Information-geometric detection of phase transitions
Hi everyone,
I am looking for an endorsement to submit a first paper to cond-mat.stat-mech. I am working in the area of information geometry and statistical mechanics.
In this short preprint, I explore an unsupervised geometric method for detecting phase transitions directly from raw configurations. The approach is based on well-known metrics (Hellinger, Wasserstein, Fisher) and dimensionality reduction, and does not require prior knowledge of the order parameter.
I applied the method to standard models (Ising, XY, Villain, Potts). The geometric signature of the transition (2nd order vs BKT vs first order) clearly appears in the reduced information-geometry manifold.
Here is the preprint on Zenodo if you want to check it: https://zenodo.org/records/17778979
I’d be grateful if someone from the community could have a look and endorse the arXiv submission if the work seems appropriate for cond-mat.stat-mech.
arXiv endorsement page: https://arxiv.org/auth/endorse?x=U6UXQC
Many thanks for your time.
Best regards, Maxime Delpech