Grants

The research network (SFB)

Discrete random structures: enumeration and scaling limits

has been funded by the FWF for the period 2024-2028. 

Principal Investigators: Nathanael Berestycki, Michael Drmota, Ilse Fischer, Christian Krattenthaler, Marcin Lis, Mihyun Kang, Benedikt Stufler, Fabio Toninelli

PhD student: Quentin Moulard (September 2024-)

The project

Random Surfaces: growth, fluctuations and universality​

has been funded by the FWF (the Austrian Science Fund) for the period 2022-2026

Principal investigator: Fabio Toninelli

Postdoc: Ivailo Hartarsky (September 2022-)

PhD student: Damiano De Gaspari (October 2022-)

Publications: 

1. G. Cannizzaro, L. Haunschmid, F. Toninelli, \sqrt{\log t}-superdiffusivity for a Brownian particle in the curl of the 2d GFF, Annals of Probability  2022, Vol. 50, No. 6, 2475-2498. arXiv:2106.06264

2. G. Cannizzaro, M. Gubinelli, F. Toninelli, Gaussian Fluctuations for the stochastic Burgers equation in dimension d≥2, to appear on Communications in Mathematical Physics, arXiv:2304.05730

3. I. Hartarsky, L. Lichev, F. Toninelli, Local dimer dynamics in higher dimensions, arXiv:2304.10930

4. G. Cannizzaro, D. Erhard, F. Toninelli, Weak coupling limit of the Anisotropic KPZ equation, Duke Mathematical Journal 172(16): 3013-3104, 2023, arXiv:2108.09046, DOI: 10.1215/00127094-2022-0094

5. B. Laslier, F. Toninelli, The mixing time of the lozenge tiling Glauber dynamics, Annales Henri Lebesgue 6 (2023) 907-940, http://arxiv.org/abs/2207.01444,  DOI

6. A. Giuliani, B. Renzi, F. Toninelli, Weakly non-planar dimers, Probability and Mathematical Physics 4-4 (2023), 891--934, arXiv:2207.10428

7. P. Lammers, F. Toninelli, Height function localisation on trees, to appear on Combinatorics, Probability and Computing, Vol. 33, Issue 1 (2024), 50-64, arXiv:2208.12949, https://doi.org/10.1017/S0963548323000329.

8. I. Hartarsky, L. Lichev, The maximal running time of hypergraph bootstrap percolation, arXiv:2208.13489

9. P. Lammers, F. Toninelli, Non-reversible stationary states for majority voter and Ising dynamics on trees, arXiv:2211.01033

10. I. Hartarsky, F. Toninelli, Kinetically constrained models out of equilibrium, to appear on Probability and Mathematical Physics,  arXiv:2212.08437

11. I. Hartarsky, L. Lichev, Brownian snails with removal die out in one dimension, https://arxiv.org/abs/2305.10751

12. I. Hartarsky, Sensitive bootstrap percolation second term, Electron. Commun. Probab. 28, 1-7, (2023) https://arxiv.org/abs/2303.14910

13. H. Duminil-Copin, I. Hartarsky, Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules https://arxiv.org/abs/2303.13920

14. G. Cannizzaro, F. Toninelli, Lecture notes on stationary critical and super-critical SPDEs https://arxiv.org/abs/2403.15006

15. I. Hartarsky, A. Texeira, Bootstrap percolation is local, https://arxiv.org/abs/2404.07903 

16. D. De Gaspari, L. Haunschmid-Sibitz, $(\log t)^\frac{2}{3}$-superdiffusivity for the 2d stochastic Burgers, https://arxiv.org/abs/2404.07728 

International collaborators:

Alexei Borodin (MIT)

Giuseppe Cannizzaro (Warwick)

Patrik Ferrari (Bonn)

Alessandro Giuliani (Roma Tre)

Benoit Laslier (Paris)

Nikolaos Zygouras (Warwick)