160 citations · 898 across the 28 of their papers we have counts for
Showing 1999Show all
3 papers · 1 filter
cond-mat.stat-mech1999★ 160 cited
Conformally Invariant Fractals and Potential Theory
Bertrand Duplantier
The multifractal (MF) distribution of the electrostatic potential near any conformally invariant fractal boundary, like a critical O(N) loop or a -state Potts cluster, is solve…
cond-mat.stat-mech1999★ 64 cited
Exact Multifractal Exponents for Two-Dimensional Percolation
Bertrand Duplantier
The harmonic measure (or diffusion field or electrostatic potential) near a percolation cluster in two dimensions is considered. Its moments, summed over the accessible external hu…
cond-mat.stat-mech1999★ 114 cited
Path Crossing Exponents and the External Perimeter in 2D Percolation
Michael Aizenman, Bertrand Duplantier, Amnon Aharony
2D Percolation path exponents describe probabilities for traversals of annuli by non-overlapping paths, each on either occupied or vacant clusters, with…