Research
Preprints:
- The Schwarzian octahedron recurrence (dSKP equation) I: explicit solutions. Niklas Affolter, Béatrice de Tilière and Paul Melotti. 2022, arXiv:2208.00239.
- The Schwarzian octahedron recurrence (dSKP equation) II: geometric systems. Niklas Affolter, Béatrice de Tilière and Paul Melotti. 2022, arXiv:2208.00244.
- A probabilistic Hadwiger-Nelson problem. Thomas Bourgeat, Marc Heinrich, Paul Melotti, Jean-Marc Robert. 2015, preprint. arXiv:1501.02441
Published articles:
- Points and lines configurations for perpendicular bisectors of convex cyclic polygons. Paul Melotti, Sanjay Ramassamy and Paul Thévenin. 2022, Electronic Journal of Combinatorics. arXiv:2003.11006.
- Cube moves for s-embeddings and alpha-realizations. Paul Melotti, Sanjay Ramassamy and Paul Thévenin. 2021, Annales de l'IHP D. arXiv:2003.08941.
- The free-fermion eight-vertex model: couplings, bipartite dimers and Z-invariance. Communications in Mathematical Physics (2020). arXiv:1811.02026.
- On path partitions of the divisor graph. Paul Melotti and Éric Saias. Acta Arithmetica 192 (2020), 329-339. arXiv:1807.07783.
- The free-fermionic $C^(1)_2$ loop model, double dimers and Kashaev's recurrence. Journal of Combinatorial Theory, Series A, August 2018. arXiv:1708.03239.
- New Algorithmic Approaches to Point Constellation Recognition. Thomas Bourgeat, Julien Bringer, Hervé Chabanne, Robin Champenois, Jérémie Clément, Houda Ferradi, Marc Heinrich, Paul Melotti, David Naccache, Antoine Voizard. ICT Systems Security and Privacy Protection, 2014. arXiv:1405.1402.
Manuscript of my PhD thesis, and slides of the defense.
