Publications

Publications by PI Nathanael Berestycki:

• Harnack inequality and one-endedness of UST on reversible random graphs (with Diederik van Engelenburg).
  Probab. Th. Rel. Fields, 188, 487–548, 2024. DOI:10.1007/s00440-023-01239-z
• Explosive growth for a constrained Hastings–Levitov aggregation model (with Vittoria Silvestri). 
  Ark. Mat, 61, 41–66, 2023. DOI:10.4310/ARKIV.2023.v61.n1.a3
• Multiplicative chaos of the Brownian loop soup (with Elie Aïdékon, Antoine Jego and Titus Lupu).
  Proc. Lond. Math. Soc., 124:4, 1254-1393 (2023), DOI:10.1112/plms.12511
• Free boundary dimers: random walk representation and scaling limit (with Marcin Lis and Wei Qian).
  Probab. Th. Rel. Fields, 186, 735–812 (2023), DOI:10.1007/s00440-023-01203-x
• Random walks on mated-CRT planar maps and Liouville Brownian motion (with Ewain Gwynne).
  Comm. Math. Phys., 395, 773-857 (2022), DOI:10.1007/s00220-022-04482-y
• (1+ε)−moments suffice to characterise the GFF (with Ellen Powell and Gourab Ray). 
  Electron. J. Probab., 26 (none), 1-25 (2021), DOI:10.1214/20-EJP566
• On the universality of fluctuations for the cover time (with Jonathan Hermon, Lucas Teyssier).
  Preprint 2022,  arXiv:2202.02255.
• Near-critical dimers and massive SLE (with Levi Haunschmid-Sibitz).
  Preprint 2022, arXiv:2203.15717
• Dimers on Riemann surfaces I: Temperleyan forests v2 (with Benoit Laslier, Gourab Ray).
  Ann. Inst. Henri Poincaré Comb. Phys. Interact. (2024), DOI:10.4171/AIHPD/193
• Dimers on Riemann surfaces II: conformal invariance and scaling limit (with Benoit Laslier, Gourab Ray). Probability and Mathematical Physics, 5:4, 961–1037 (2024), DOI: 10.2140/pmp.2024.5.961
• Piecewise Temperleyan dimers and a multiple SLE8 (with Mingchang Liu).
  Preprint 2023, arXiv:2301.08513
• Weyl’s law in Liouville quantum gravity (with Mo Dick Wong).
  Preprint 2023, arXiv:2307.05407
• Thick points of 4D critical branching Brownian motion (with Antoine Jégo and Tom Hutchcroft).
  Preprint 2023, arXiv:2312.00711

Additional publications by project members. Names of those who benefited by the grant are in bold. The support by the Austrian Science Fund (FWF) is greatly acknowledged.

• Self-similar signed growth-fragmentations, William Da Silva.
  Electron. J. Probab. 28, 1-45 (2023), DOI: 10.1214/23-EJP937
• Power-law bounds for increasing subsequences in Brownian separable permutons and homogeneous sets in Brownian cographons, William Da Silva with Jacopo Borga, Ewain Gwynne.
  Advances in Mathematics (2024), DOI:10.1016/j.aim.2023.109480.
• An elementary proof of phase transition in the planar XY model, Diederik van Engelenburg with Marcin Lis.
  Commun. Math. Phys., 399, 85–104 (2023), DOI:10.1007/s00220-022-04550-3
• On the duality between height functions and continuous spin models, Diederik van Engelburg with Marcin Lis.
  Preprint 2023, arXiv:2303.08596
• The number of ends in the uniform spanning tree for recurrent unimodular random graphs, Diederik van Engelenburg with Tom Hutchcroft.
  Ann. Probab. 52(6): 2079-2103 (2024), DOI:10.1214/24-AOP1682
• Local limits of descent-biased permutations and trees, Paul Thevenin with Stephan Wagner.
  Preprint 2023, arXiv:2312.11183
• Critical exponential tiltings for size-conditioned multitype Bienaymé--Galton--Watson trees, Paul Thevenin. Preprint 2023, arXiv:2310.12897
• Small deviations of Gaussian multiplicative chaos and the free energy of the two-dimensional massless Sinh--Gordon model, Nikolay Barashkov, Joona Oikarinen, Mo Dick Wong. Preprint 2024, arXiv:2408.16574
• Spatial growth-fragmentations and excursions from hyperplanes, William da Silva and Juan Carlos Pardo. Preprint 2024, arXiv:2309.08459 
• Multitype self-similar growth-fragmentation processes, William da Silva and Juan Carlos Pardo, Preprint 2021, arXiv:2112.11091