Dimers beyond planarity - phase transition and scaling limits

Results:

• Conformally invariant boundary arcs in double dimers.
  Marcin Lis, Lucas Rey, Kieran Ryan
  Probab. Theory Relat. Fields (2026)
  DOI: 10.1007/s00440-025-01459-5 (associated to Project 7)
• Exponential decay in O(n)-invariant quantum spin systems
  Jakob E. Björnberg, Kieran Ryan
  Ann. Henri Poincaré (2026) 
  DOI: 10.1007/s00023-026-01690-3 (associated to Project 7)
• Dimerization in O(n)-invariant quantum spin chains
  Kieran Ryan, Jakob Björnberg
  arXiv:2506.06103 (associated to Project 7)
• Zeros of planar Ising models via flat SU(2) connections.
  Marcin Lis
  Commun. Math. Phys. (2026), Vol. 407, No. 6.
  DOI: 10.1007/s00220-025-05516-x (associated to Project 7)
• On the duality between height functions and continuous spin models
  Diederik van Engelenburg, Marcin Lis
  Probab. Math. Phys. (2025), Vol. 6, No. 4, 1291–1325 
  DOI: 10.2140/pmp.2025.6.1291 (associated to Project 7)
• The Ising magnetisation field and the Gaussian free field
  Tomás Alcalde López, Lorca Heeney, Marcin Lis
  arXiv:2602.05886 (associated to Project 7)
• Uniform spanning trees and random matrix statistics 
  Nathanael Berestycki, Marcin Lis, Mingchang Liu, Eveliina Peltola
  arXiv:2512.20540 (associated to Project 2 and 7)