Publications and preprints
Below is a list of my publications and preprints by (reverse) chronological order of appearance (not publication), also available on arXiv and Google Scholar.
You can find my PhD thesis here.
Publications and preprints
Below is a list of my publications and preprints by (reverse) chronological order of appearance (not publication), also available on arXiv and Google Scholar.
You can find my PhD thesis here.
22. Supercritical sharpness for the random cluster representation of real-valued spin models
T. S. Gunaratnam, D. Krachun, C. Panagiotis, R. Panis, F. Severo
Preprint (2026), [arxiv]
21. One-arm exponents of the high-dimensional Ising model
D. van Engelenburg, C. Garban, R. Panis, F. Severo
Preprint (2025), [arxiv]
20. One-arm exponents of high-dimensional percolation revisited
D. van Engelenburg, C. Garban, R. Panis, F. Severo
Preprint (2025), [arxiv]
19. High-intensity Voronoi percolation on manifolds
T. Bühler, B. Dembin, R. R. Radhakrishnan, F. Severo
Preprint (2025), [arxiv]
18. The supercritical phase of the Ф^4 model is well behaved
T. S. Gunaratnam, C. Panagiotis, R. Panis, F. Severo
Communications in Mathematical Physics (to appear), [arxiv]
17. Percolation on the stationary distributions of the voter model with stirring
J. Astoquillca, F. Severo, R. Szabó, D. Valesin
Preprint (2024), [arXiv]
16. Counting minimal cutsets and p_c<1
P. Easo, F. Severo, V. Tassion
Forum of Mathematics, Pi (2025), [arXiv]
Addendum: In May 2026, our Conjecture 1 was proved by an AI. In particular, this resolves Question 2 from [BS96]. The original proof can be found here (see also the following addendum for a proof with optimal assumptions). These files are hosted here for lack of a more suitable platform and are made freely available for anyone to use and distribute. I claim no involvement in either the proofs themselves or the prompts that led to them.
15. Slab percolation for the Ising model revisited
F. Severo
Electronic Communications in Probability (2024), [arXiv]
14. Supercritical sharpness for Voronoi percolation
B. Dembin, F. Severo
Probability Theory and Related Fields , special volume dedicated to G. Grimmett (2025), [arXiv]
13. Phase transition for the vacant set of random walk and random interlacements
H. Duminil-Copin, S. Goswami, P.-F. Rodriguez, F. Severo, A. Teixeira
Preprint (2023), [arXiv]
12. A characterization of strong percolation via disconnection
H. Duminil-Copin, S. Goswami, P.-F. Rodriguez, F. Severo, A. Teixeira
Proceedings of the London Mathematical Society (2024), [arXiv]
11. Finite range interlacements and couplings
H. Duminil-Copin, S. Goswami, P.-F. Rodriguez, F. Severo, A. Teixeira
The Annals of Probability (2025), [arXiv]
10. Random tangled currents for Ф^4: translation invariant Gibbs measures and continuity of the phase transition
T. S. Gunaratnam, C. Panagiotis, R. Panis, F. Severo
Journal of the European Mathematical Society (2025), [arXiv]
9. Uniqueness of unbounded component for level sets of smooth Gaussian fields
F. Severo
International Mathematics Research Notices (2024), [arXiv]
8. Percolation of strongly correlated Gaussian fields I. Decay of subcritical connection probabilities
S. Muirhead, F. Severo
Probability and Mathematical Physics (2024), [arXiv]
7. Gap at 1 for the percolation threshold of Cayley graphs
C. Panagiotis, F. Severo
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques (2023), [arXiv]
6. Analyticity of Gaussian free field percolation observables
C. Panagiotis, F. Severo
Communications in Mathematical Physics (2022), [arXiv]
5. Sharp phase transition for Gaussian percolation in all dimensions
F. Severo
Annales Henri Lebesgue (2022), [arXiv]
4. On the radius of Gaussian free field excursion clusters
S. Goswami, P.-F. Rodriguez, F. Severo
The Annals of Probability (2022), [arXiv]
3. Equality of critical parameters for percolation of Gaussian free field level-sets
H. Duminil-Copin, S. Goswami, P.-F. Rodriguez, F. Severo
Duke Mathematical Journal (2023), [arXiv]
2. Existence of phase transition for percolation using the Gaussian free field
H. Duminil-Copin, S. Goswami, A. Raoufi, F. Severo, A. Yadin
Duke Mathematical Journal (2020), [arXiv]
1. Strict monotonicity of percolation thresholds under covering maps
S. Martineau, F. Severo
The Annals of Probability (2019), [arXiv]
Co-authors: Jhon Astoquillca, Tillmann Bühler, Barbara Dembin, Hugo Duminil-Copin, Philip Easo, Diederik van Engelenburg, Christophe Garban, Subhajit Goswami, Trishen S. Gunaratnam, Dmitry Krachun, Sébastien Martineau, Stephen Muirhead, Christoforos Panagiotis, Romain Panis, Ritvik Radhakrishnan, Aran Raoufi, Pierre-François Rodriguez, Réka Szabó, Vincent Tassion, Augusto Teixeira, Daniel Valesin, Ariel Yadin