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:
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
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
I. Hartarsky, L. Lichev, F. Toninelli, Local dimer dynamics in higher dimensions, to appear on Ann. IHP D, arXiv:2304.10930
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
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
A. Giuliani, B. Renzi, F. Toninelli, Weakly non-planar dimers, Probability and Mathematical Physics 4-4 (2023), 891--934, arXiv:2207.10428
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.
I. Hartarsky, L. Lichev, The maximal running time of hypergraph bootstrap percolation, SIAM Journal on Discrete Mathematics 28 (2024), no. 2, 1462-1471 arXiv:2208.13489
P. Lammers, F. Toninelli, Non-reversible stationary states for majority voter and Ising dynamics on trees, Electronic Journal of Probability 2024, Vol. 29, paper no. 119, 1-18, https://doi.org/10.1214/24-EJP1143
I. Hartarsky, F. Toninelli, Kinetically constrained models out of equilibrium, Probability and Mathematical Physics Vol. 5 (2024), No. 2, 461–489, arXiv:2212.08437, DOI: 10.2140/pmp.2024.5.461
I. Hartarsky, L. Lichev, Brownian snails with removal die out in one dimension, Electron. Comm. Probab. 28, 1-8 (2023) https://arxiv.org/abs/2305.10751
I. Hartarsky, Sensitive bootstrap percolation second term, Electron. Commun. Probab. 28, 1-7, (2023) https://arxiv.org/abs/2303.14910
H. Duminil-Copin, I. Hartarsky, Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules, Probability Theory and Related Fields (2024), 190(1-2), 445-483 https://arxiv.org/abs/2303.13920
G. Cannizzaro, F. Toninelli, Lecture notes on stationary critical and super-critical SPDEs https://arxiv.org/abs/2403.15006
I. Hartarsky, A. Texeira, Bootstrap percolation is local, https://arxiv.org/abs/2404.07903
D. De Gaspari, L. Haunschmid-Sibitz, $(\log t)^\frac{2}{3}$-superdiffusivity for the 2d stochastic Burgers, https://arxiv.org/abs/2404.07728
M. Gerencser, F. Toninelli, Weak coupling limit of KPZ with rougher than white noise, arXiv:2406.08364
I. Hartarsky, Refined universality for critical KCM: upper bounds, Comm. Math. Phys. 405 (2024), no. 1, Paper 13, arXiv:2104.02329
E. Archer, I. Hartarsky, B. Kolesnik, S. Olesker-Taylor, B. Schapira, D. Valesin, Catalan percolation, arXiv:2404.19583
I. Hartarsky, A. Teixeira, Locality approach to the bootstrap percolation paradox, arXiv:2410.01619
I. Hartarsky, Universalité des modèles de percolation bootstrap et cinétiquement contraints en deux dimensions, To appear on Matapli, HAL: 04427412
International collaborators:
Alexei Borodin (MIT)
Giuseppe Cannizzaro (Warwick)
Patrik Ferrari (Bonn)
Alessandro Giuliani (Roma Tre)
Benoit Laslier (Paris)
Nikolaos Zygouras (Warwick)