Publications

Publications by PI Nathanael Berestycki:

• Harnack inequality and one-endedness of UST on reversible random graphs (with Diederik van Engelenburg).
  Preprint 2021, arXiv:2110.05100.
• Explosive growth for a constrained Hastings–Levitov aggregation model (with Vittoria Silvestri). 
  To appear in Ark Mat., arXiv:2109.11466.
• 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).
  To appear in Probab. Th. Rel. Fields, arXiv:2102.12873.
• 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).
  Preprint 2023, arXiv:19089.00832
• Dimers on Riemann surfaces II: conformal invariance and scaling limit (with Benoit Laslier, Gourab Ray).
  Preprint 2022, arXiv:2207.09875
• 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

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.
  Preprint 2023, arXiv:2303.17030.
• 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.
  Preprint 2023, arXiv:2301.03875