Random geometry of dimers and planar maps

Results:

• Near-critical dimers and massive SLE
  Nathanael Berestycki, Levi Haunschmid-Sibitz
  arXiv:2203.15717 (associated to Project 2)
• Sharp character bounds and cutoff profiles for symmetric groups
  Sam Olesker-Taylor, Lucas Teyssier, Paul Thévenin
  arXiv:2503.12735 (associated to Project 2)
• The Ising model on cubic maps: arbitrary genus
  Mireille Bousquet-Mélou, Ariane Carrance, Baptiste Louf
  arXiv:2504.00768 (associated to Project 2)
• On the spectral geometry of Liouville quantum gravity
  Nathanael Berestycki
  arXiv:2512.02538 (associated to Project 2)
• Loewner--Kufarev entropy and large deviations of the Hastings--Levitov model
  Nathanael Berestycki, Vladislav Guskov, Fredrik Viklund
  arXiv:2512.02855 (associated to Project 2)
• Scaling limits of multitype Bienaymé tree
  Louigi Addario-Berry, Philipp Beltran, Benedikt Stufler, Paul Thévenin
  arXiv:2507.23241 (associated to Project 2 and 8)
• Gaussian Free Field and Liouville Quantum Gravity
  Nathanael Berestycki, Ellen Powell
  Cambridge University Press (2025)
  DOI: 10.1017/9781009405492 (associated to Project 2)
• Stationary hitting times on vertex-transitive graphs
  Nathanael Berestycki, Jonathan Hermon, Lucas Teyssier
  arXiv:2601.03864 (associated to Project 2)
• Uniform spanning trees and random matrix statistics
  Nathanaël Berestycki, Marcin Lis, Mingchang Liu, Eveliina Peltola
  arXiv:2512.20540 (associated to Project 2 and 7)
• Critical behaviour of the fully packed loop-O(n) model on planar triangulations
  Nathanael Berestycki, William Da Silva
  arXiv:2512.05867 (associated to Project 2)
• Massive holomorphicity of near-critical dimers and sine-Gordon model
  Nathanael Berestycki, Scott Mason, Lucas Rey
  arXiv:2603.06498 (associated to Project 2)
• Brownian paths as loop-decorated SLEs 
  Nathanael Berestycki, Isao Sauzedde
  arXiv:2602.04673 (associated to Project 2)
• Enumeration of general planar hypermaps with an alternating boundary
  Valentin Baillard, Ariane Carrance, Bertrand Eynard
  arXiv:2603.28571 (associated to Project 2)