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3,114
Conformal invariance
 Phase transitions and critical phenomena
, 1987
"... These lectures give an introduction to the methods of conformal field theory as applied to deriving certain results in twodimensional critical percolation: namely the probability that there exists at least one cluster connecting two disjoint segments of the boundary of a simply connected region; an ..."
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Cited by 10 (0 self)
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These lectures give an introduction to the methods of conformal field theory as applied to deriving certain results in twodimensional critical percolation: namely the probability that there exists at least one cluster connecting two disjoint segments of the boundary of a simply connected region
WeylGauging and Conformal Invariance
, 1996
"... Scaleinvariant actions in arbitrary dimensions are investigated in curved space to clarify the relation between scale, Weyl and conformal invariance on the classical level. The global Weylgroup is gauged. Then the class of actions is determined for which Weylgauging may be replaced by a suitabl ..."
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Cited by 4 (0 self)
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Scaleinvariant actions in arbitrary dimensions are investigated in curved space to clarify the relation between scale, Weyl and conformal invariance on the classical level. The global Weylgroup is gauged. Then the class of actions is determined for which Weylgauging may be replaced by a
Conformal Invariance of Domino Tiling
 Ann. Probab
, 1999
"... this paper we deal with the twodimensional lattice dimer model, or domino tiling model (a domino tiling is a tiling with 2 \Theta 1 and 1 \Theta 2 rectangles). We prove that in the limit as the lattice spacing ffl tends to zero, certain macroscopic properties of the tiling are conformally invariant ..."
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Cited by 71 (12 self)
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this paper we deal with the twodimensional lattice dimer model, or domino tiling model (a domino tiling is a tiling with 2 \Theta 1 and 1 \Theta 2 rectangles). We prove that in the limit as the lattice spacing ffl tends to zero, certain macroscopic properties of the tiling are conformally
Critical percolation in the plane: conformal invariance, Cardy’s formula, scaling limits
 C. R. Acad. Sci. Paris Ser. I Math
, 2001
"... Abstract. We study scaling limits and conformal invariance of critical site percolation on triangular lattice. We show that some percolationrelated quantities are harmonic conformal invariants, and calculate their values in the scaling limit. As a particular case we obtain conformal invariance of t ..."
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Cited by 263 (9 self)
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Abstract. We study scaling limits and conformal invariance of critical site percolation on triangular lattice. We show that some percolationrelated quantities are harmonic conformal invariants, and calculate their values in the scaling limit. As a particular case we obtain conformal invariance
Conformally Invariant Ansätze for
"... A general procedure for construction of conformally invariant Ansätze for the Maxwell field is suggested. Ansätze invariant with respect to inequivalent threeparameter subgroups of the conformal group are constructed. 1 ..."
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A general procedure for construction of conformally invariant Ansätze for the Maxwell field is suggested. Ansätze invariant with respect to inequivalent threeparameter subgroups of the conformal group are constructed. 1
On isometries of conformally invariant metrics
 J. Geom. Anal
"... Abstract. In this note we prove that isometries in a conformally invariant metric of a general domain are quasiconformal. In the special case of the punctured space we prove that isometries in this metric are Möbius, which is conjectured in [FMV]. 1. ..."
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Abstract. In this note we prove that isometries in a conformally invariant metric of a general domain are quasiconformal. In the special case of the punctured space we prove that isometries in this metric are Möbius, which is conjectured in [FMV]. 1.
Critical percolation and conformal invariance
 In: XIVth International Congress on Mathematical Physics (Lissbon
, 2003
"... Many 2D critical lattice models are believed to have conformally invariant scaling limits. This belief allowed physicists to predict (unrigorously) many of their properties, including exact values of various dimensions and scaling exponents. We describe some of the recent progress in the mathematic ..."
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Cited by 13 (2 self)
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Many 2D critical lattice models are believed to have conformally invariant scaling limits. This belief allowed physicists to predict (unrigorously) many of their properties, including exact values of various dimensions and scaling exponents. We describe some of the recent progress
Conformal Invariance of Unitarity Corrections ∗
, 2001
"... We study perturbative unitarity corrections in the generalized leading logarithmic approximation in high energy QCD. It is shown that the corresponding amplitudes with up to six gluons in the tchannel are conformally invariant in impact parameter space. In particular we give a new representation fo ..."
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We study perturbative unitarity corrections in the generalized leading logarithmic approximation in high energy QCD. It is shown that the corresponding amplitudes with up to six gluons in the tchannel are conformally invariant in impact parameter space. In particular we give a new representation
Results 1  10
of
3,114