-
1
-
-
0001056718
-
Hölder regularity and dimension bounds for random curves
-
Aizenman, M.; Burchard, A. Hölder regularity and dimension bounds for random curves. Duke Math. J. 99 (1999), 419-453.
-
(1999)
Duke Math. J
, vol.99
, pp. 419-453
-
-
Aizenman, M.1
Burchard, A.2
-
2
-
-
79957768343
-
-
The critical temperature of the Ising model on the square lattice, an easy way. Preprint, arXiv:1010.0526
-
Beffara, V.; Duminil-Copin, H. The critical temperature of the Ising model on the square lattice, an easy way. Preprint, 2010. arXiv:1010.0526
-
(2010)
-
-
Beffara, V.1
Duminil-Copin, H.2
-
3
-
-
79957755739
-
-
The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1. Preprint, arXiv:1006.5073
-
Beffara, V.; Duminil-Copin, H. The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1. Preprint, 2010. arXiv:1006.5073
-
(2010)
-
-
Beffara, V.1
Duminil-Copin, H.2
-
4
-
-
0010882054
-
Infinite conformal symmetry in twodimensional quantum field theory
-
Belavin, A. A.; Polyakov, A. M.; Zamolodchikov, A. B. Infinite conformal symmetry in twodimensional quantum field theory. Nucl. Phys. B 241 (1984), 333-380.
-
(1984)
Nucl. Phys. B
, vol.241
, pp. 333-380
-
-
Belavin, A.A.1
Polyakov, A.M.2
Zamolodchikov, A.B.3
-
5
-
-
0004542587
-
Infinite conformal symmetry of critical fluctuations in two dimensions
-
Belavin, A. A.; Polyakov, A. M.; Zamolodchikov, A. B. Infinite conformal symmetry of critical fluctuations in two dimensions. J. Stat. Phys. 34 (1984), 763-774.
-
(1984)
J. Stat. Phys
, vol.34
, pp. 763-774
-
-
Belavin, A.A.1
Polyakov, A.M.2
Zamolodchikov, A.B.3
-
6
-
-
65249105535
-
Ising (conformal) fields and cluster area measures
-
Camia, F.; Newman, C. M. Ising (conformal) fields and cluster area measures. Proc. Natl. Acad. Sci. USA 106 (2009), 5457-5463.
-
(2009)
Proc. Natl. Acad. Sci. USA
, vol.106
, pp. 5457-5463
-
-
Camia, F.1
Newman, C.M.2
-
7
-
-
84862730032
-
Universality in the 2D Ising model and conformal invariance of fermionic observables
-
in press.
-
Chelkak, D.; Smirnov, S. Universality in the 2D Ising model and conformal invariance of fermionic observables. Invent. Math., in press.
-
Invent. Math.
-
-
Chelkak, D.1
Smirnov, S.2
-
8
-
-
0001440863
-
Generalization of the Fortuin-Kasteleyn-Swendsen-Wang representation and Monte Carlo algorithm
-
Edwards, R. G.; Sokal, A. D. Generalization of the Fortuin-Kasteleyn-Swendsen-Wang representation and Monte Carlo algorithm. Phys. Rev. D 38 (1988), 2009-2012.
-
(1988)
Phys. Rev. D
, vol.38
, pp. 2009-2012
-
-
Edwards, R.G.1
Sokal, A.D.2
-
9
-
-
0041855748
-
On the random-cluster model. I. Introduction and relation to other models
-
Fortuin, C. M.; Kasteleyn, P. W. On the random-cluster model. I. Introduction and relation to other models. Physica 57 (1972), 536-564.
-
(1972)
Physica
, vol.57
, pp. 536-564
-
-
Fortuin, C.M.1
Kasteleyn, P.W.2
-
12
-
-
79957711119
-
-
On random planar curves and their scaling limits. Doctoral dissertation, University of Helsinki
-
Kemppainen, A. On random planar curves and their scaling limits. Doctoral dissertation, University of Helsinki, 2009.
-
(2009)
-
-
Kemppainen, A.1
-
13
-
-
79957756996
-
-
Random curves, scaling limits and Loewner evolutions. In preparation.
-
Kemppainen, A.; Smirnov, S. Random curves, scaling limits and Loewner evolutions. In preparation.
-
-
-
Kemppainen, A.1
Smirnov, S.2
-
14
-
-
0001755621
-
Scaling relations for 2D-percolation
-
Kesten, H. Scaling relations for 2D-percolation. Comm. Math. Phys. 109 (1987), 109-156.
-
(1987)
Comm. Math. Phys
, vol.109
, pp. 109-156
-
-
Kesten, H.1
-
17
-
-
79957698041
-
-
Critical Ising on the square lattice mixes in polynomial time. Preprint, arXiv:1001.1613
-
Lubetzky, E.; Sly, A. Critical Ising on the square lattice mixes in polynomial time. Preprint, 2010. arXiv:1001.1613
-
(2010)
-
-
Lubetzky, E.1
Sly, A.2
-
18
-
-
36149012281
-
Crystal statistics. I. A two-dimensional model with an order-disorder transition
-
Onsager, L. Crystal statistics. I. A two-dimensional model with an order-disorder transition. Phys. Rev. (2) 65 (1944), 117-149.
-
(1944)
Phys. Rev. (2)
, vol.65
, pp. 117-149
-
-
Onsager, L.1
-
19
-
-
84924799755
-
On Ising's model of ferromagnetism
-
Peierls, R. On Ising's model of ferromagnetism. Math. Proc. Camb. Phil. Soc. 32 (1936), 477-481.
-
(1936)
Math. Proc. Camb. Phil. Soc
, vol.32
, pp. 477-481
-
-
Peierls, R.1
-
20
-
-
0014928682
-
Conformal symmetry of critical fluctuations
-
Polyakov, A. M. Conformal symmetry of critical fluctuations. JETP Letters 12 (1970), 381-383.
-
(1970)
JETP Letters
, vol.12
, pp. 381-383
-
-
Polyakov, A.M.1
-
22
-
-
77957093986
-
Percolation probabilities on the square lattice
-
Seymour, P. D.; Welsh, D. J. A. Percolation probabilities on the square lattice. Ann. Discrete Math. 3 (1978), 227-245.
-
(1978)
Ann. Discrete Math
, vol.3
, pp. 227-245
-
-
Seymour, P.D.1
Welsh, D.J.A.2
-
23
-
-
84878094646
-
Towards conformal invariance of 2D lattice models
-
Smirnov, S. Towards conformal invariance of 2D lattice models. Proc. ICM 2006 vol. 2 (2007), 1421-1451.
-
(2007)
Proc. ICM 2006
, vol.2
, pp. 1421-1451
-
-
Smirnov, S.1
-
24
-
-
77957693837
-
Conformal invariance in random cluster models. I. Holomorphic fermions in the Ising model
-
Smirnov, S. Conformal invariance in random cluster models. I. Holomorphic fermions in the Ising model. Ann. Math. 172-2 (2010), 1435-1467.
-
(2010)
Ann. Math
, vol.172
, Issue.2
, pp. 1435-1467
-
-
Smirnov, S.1
-
25
-
-
79957761266
-
-
Conformal invariance in random cluster models. II. Scaling limit of the interface. In preparation.
-
Smirnov, S. Conformal invariance in random cluster models. II. Scaling limit of the interface. In preparation.
-
-
-
Smirnov, S.1
-
26
-
-
0035527905
-
Critical exponents for two-dimensional percolation
-
Smirnov, S.; Werner, W. Critical exponents for two-dimensional percolation. Math. Res. Lett. 8 (2001), 729-744.
-
(2001)
Math. Res. Lett
, vol.8
, pp. 729-744
-
-
Smirnov, S.1
Werner, W.2
-
28
-
-
0242330847
-
SLEs as boundaries of clusters of Brownian loops
-
Werner, W. SLEs as boundaries of clusters of Brownian loops. C. R. Math. Acad. Sci. Paris 337 (2003), 481-486.
-
(2003)
C. R. Math. Acad. Sci. Paris
, vol.337
, pp. 481-486
-
-
Werner, W.1
-
29
-
-
79957732420
-
-
Percolation et modèle d'Ising. Cours Spécialisés de la SMF 16
-
Werner, W. Percolation et modèle d'Ising. Cours Spécialisés de la SMF 16, 2010.
-
(2010)
-
-
Werner, W.1
|