On Convergence to SLE 6 II : Discrete Approximations and Extraction of Cardy ’ s Formula for General Domains

@inproceedings{Binder2010OnCT,
  title={On Convergence to SLE 6 II : Discrete Approximations and Extraction of Cardy ’ s Formula for General Domains},
  author={Ilia Binder and Lincoln P Chayes and H. K. Lei},
  year={2010}
}
We show how to extract Cardy’s Formula for a general class of domains given the requisite interior analyticity statement. This is accomplished by a careful study of the interplay between discretization schemes and extraction of limiting boundary values. Of particular importance to the companion work (Binder et al. in J. Stat. Phys., 2010) we establish these results for slit domains and for the critical percolation models introduced in Chayes and Lei (Rev. Math. Phys. 19:511–565, 2007). 

From This Paper

Figures, tables, and topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 17 references

Cardy’s formula on the triangular lattice, the easy way

V. Beffara
Universality and Renormalization. Fields Institute Communications, vol. 50, pp. 39–45. AMS, Providence • 2007
View 4 Excerpts
Highly Influenced

Cardy ’ s formula on the triangular lattice , the easy way . In : Universality and Renormalization

V. Beffara
Fields Institute Communications • 2007

Percolation

B. Bollobás, O. Riordan
Cambridge University Press, Cambridge • 2006
View 1 Excerpt

Similar Papers

Loading similar papers…