Crossing probabilities in critical 2-D percolation and modular forms

Author:

Kleban Peter

Publisher

Elsevier BV

Subject

Condensed Matter Physics,Statistics and Probability

Reference20 articles.

1. Percolation Theory for Mathematicians;Kesten,1982

2. Introduction to Percolation Theory;Stauffer,1992

3. Exact results at the two-dimensional percolation point;Kleban;Phys. Rev. B,1998

4. P. Kleban, D. Zagier, in preparation.

5. On the random cluster model I: Introduction and relation to other models;Kasteleyn;Physica,1972

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1. Local persistence in directed percolation;Journal of Statistical Mechanics: Theory and Experiment;2009-08-24

2. Proposal for a conformal field theory interpretation of Watts’ differential equation for percolation;Journal of Statistical Mechanics: Theory and Experiment;2005-12-07

3. Universal crossing probabilities and incipient spanning clusters in directed percolation;The European Physical Journal B - Condensed Matter;2003-06-01

4. Scale-invariant universal crossing probability in one-dimensional diffusion-limited coalescence;Journal of Physics A: Mathematical and General;2003-03-27

5. Crossing probabilities and modular forms;Journal of Statistical Physics;2003

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