Fetching the paper…
Reading the bibliography…
We construct discrete holomorphic observables in the Ising model at criticality and show that they have conformally covariant scaling limits (as mesh of the lattice tends to zero).
Über die partiellen Differenzengleichungen der mathematischen Physik
R. Courant, K. Friedrichs, and H. Lewy · 1928
Earlier work this paper cites.
Random paths in two and three dimensions
W. H. McCrea and F. J. W. Whipple · 1940
Earlier work this paper cites.
Sur les fonctions preharmoniques
Samuel Verblunsky · 1949
Earlier work this paper cites.
Crystal statistics. IV. Long-range order in a binary crystal
Bruria Kaufman and Lars Onsager · 1950
Earlier work this paper cites.
The spontaneous magnetization of a two-dimensional Ising model
C. N. Yang · 1952
Earlier work this paper cites.
Représentation conforme et transformations à intégrale de Dirichlet bornée
Jacqueline Lelong-Ferrand · 1955
Earlier work this paper cites.
The two-dimensional Ising model
B. M. McCoy and T. T. Wu · 1973
Cited alongside, same era.
Exactly solved models in statistical mechanics
Rodney J. Baxter · 1982
Cited alongside, same era.
Hitting probabilities of random walks on ℤ d {\mathbb{Z}}^{d}
Harry Kesten · 1987
Cited alongside, same era.
Conformal invariance of domino tiling
Richard Kenyon · 2000
Cited alongside, same era.
Critical percolation in the plane
Stanislav Smirnov · 2001
Cited alongside, same era.
Critical percolation in the plane: Conformal invariance, Cardy’s formula, scaling limits
Stanislav Smirnov · 2001
Cited alongside, same era.
Conformal invariance of planar loop-erased random walks and uniform spanning trees
Gregory F. Lawler, Oded Schramm, and Wendelin Werner · 2004
Later among the works it cites.
The Random-Cluster Model
Geoffrey Grimmett · 2006
Later among the works it cites.
Holomorphic parafermions in the Potts model and stochastic Loewner evolution
V. Riva and J. Cardy · 2006
Later among the works it cites.
Towards conformal invariance of 2D lattice models
Stanislav Smirnov · 2006
Later among the works it cites.
Conformal invariance in random cluster models. II. Scaling limit of the interface
Stanislav Smirnov · 2007
Closest in time.
Conformal invariance in random cluster models. III. Full scaling limit
Stanislav Smirnov · 2007
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…