Christoforos Panagiotis

Research interests

Probability, Statistical Physics, Combinatorics, Complex Analysis: Percolation, Spin models, Self-avoiding walk, Probability on groups

Students

Current: William Veitch, first-year PhD student, University of Bath

Past: Ekin Arikoek, Master student, University of Geneva

Publications

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

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

3. 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 (accepted), arXiv:2211.00319

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

5. 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

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

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

8. 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 

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

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

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

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

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

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

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

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

17. 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, Florian Lehner, Vlassis Mastrantonis, Vassili Nestoridis, ‪Romain Panis‬, Mihalis Papadimitrakis, Franco Severo