Christoforos Panagiotis

Research interests

Probability, statistical physics, combinatorics, complex analysis, geometric group theory, formal logic: percolation, spin models, self-avoiding walk, probability on groups, self-organised criticality, proof mining

Students

2025- Ben Holland Young, first-year PhD student, University of Bath

2024- William Veitch, second-year PhD student, University of Bath

2022-23 Ekin Arikok, Master student, University of Geneva

Grants

2025-2028 New Investigator Award 

Publications

1. Uniqueness of the infinite cluster for monotone percolation models without insertion tolerance, with A. Stauffer, arXiv:2603.29420

2. Regularity of Gibbs measures for unbounded spin systems on general graphs, with W. Veitch, arXiv:2603.26319

3. Percolation on graphs of polynomial growth is local: analyticity, supercritical sharpness, isoperimetry, with S. Martineau, arXiv:2511.01851 

4. The supercritical phase of the φ4 model is well behaved, with T. Gunaratnam, R. Panis and F. Severo, arXiv:2501.05353

5. Self-avoiding walk is ballistic on graphs with more than one end, with F. Lehner, and C. Linorder, Forum of Mathematics, Sigma, arXiv:2403.13121 

6. Random tangled currents for φ4: translation invariant Gibbs measures and continuity of the phase transition, with T. Gunaratnam, R. Panis and F. Severo, Journal of European Mathematical Society, arXiv:2211.00319

7. Quantitative sub-ballisticity of self-avoiding walk on the hexagonal lattice, with D. Krachun, Annals of Probability (accepted), arXiv:2310.17299

8. Scaling limit of the cluster size distribution for the random current measure on the complete graph, with D. Krachun, and R. Panis, Electronic Journal of Probability, arXiv:2310.020872

9. Existence of a tricritical point for the Blume-Capel model, with T. Gunaratnam and D. Krachun, Probability and Mathematical Physics, arXiv:2210.13394

10. Analyticity results in Bernoulli Percolation, with A. Georgakopoulos, Memoirs of the American Mathematical Society, arXiv:1811.07404 

11. Gap at 1 for the percolation threshold of Cayley graphs, with F. Severo, Annales de l'Institut Henri Poincaré(B): Probabilités et Statistiques, arXiv:2111.00555 

12. Analyticity of Gaussian free field percolation observables, with F. Severo, Communications in Mathematical Physics, arXiv:2108.05294 

13. Hyperbolic self avoiding walk, with I. Benjamini, Electronic Communications in Probability, arXiv:2007.03534 

14. Convergence of square tilings to the Riemann map, with A. Georgakopoulos, arXiv:1910.06886

15. On the exponential growth rates of lattice animals and interfaces, with A. Georgakopoulos, Combinatorics, Probability and Computing, arxiv.org/abs/1908.03426 

16. Self-avoiding walks and polygons on hyperbolic graphs, Journal of Graph Theory, arXiv:1908.00127

17. Site percolation and isoperimetric inequalities for plane graphs, with J. Haslegrave, Random Structures & Algorithms, arXiv:1905.09723 

18. Universal partial sums of Taylor series as functions of the centre of expansion, Complex Variables and Elliptic Equations, arXiv:1710.03114 

19. One-Sided Extendability and p-Continuous Analytic Capacities, with E. Bolkas, V. Nestoridis and M. Papadimitrakis, The Journal of Geometric Analysis, arXiv:1606.05443 

20. Nowhere differentiable functions of analytic type on products of finitely connected planar domains, with V. Mastrantonis, Monatshefte fur Mathematik, arXiv:1608.08235

Co-authors: Itai Benjamini, Eleftherios Bolkas, Agelos Georgakopoulos, Trishen S. Gunaratnam, John Haslegrave, ‪Dmitry Krachun, Christian Lindorfer, Florian Lehner, Sébastien Martineau, Vlassis Mastrantonis, Vassili Nestoridis, ‪Romain Panis‬, Mihalis Papadimitrakis, Franco Severo, Alexandre Stauffer, William Veitch