160 citations · 898 across the 28 of their papers we have counts for
12 papers · 1 filter
Hamiltonian cycles on bicolored random planar maps
Bertrand Duplantier, Olivier Golinelli, Emmanuel Guitter
We study the statistics of Hamiltonian cycles on various families of bicolored random planar maps (with the spherical topology). These families fall into two groups corresponding t…
Exponents for Hamiltonian paths on random bicubic maps and KPZ
Philippe Di Francesco, Bertrand Duplantier, Olivier Golinelli +1
We evaluate the configuration exponents of various ensembles of Hamiltonian paths drawn on random planar bicubic maps. These exponents are estimated from the extrapolations of exac…
Complex Generalized Integral Means Spectrum of Drifted Whole-Plane SLE and LLE
Bertrand Duplantier, Yong Han, Chi Nguyen +1
We present new results for the complex generalized integral means spectrum for two kinds of whole-plane Loewner evolutions driven by Lévy processes: - Lévy processes with continuou…
Statistical Mechanics of Confined Polymer Networks
Bertrand Duplantier, Anthony J Guttmann
We show how the theory of the critical behaviour of -dimensional polymer networks of arbitrary topology can be generalized to the case of networks confined by hyperplanes. This…
Integral means spectrum of whole-plane SLE
Dmitry Beliaev, Bertrand Duplantier, Michel Zinsmeister
We complete the mathematical analysis of the fine structure of harmonic measure on SLE curves that was initiated by Beliaev and Smirnov, as described by the averaged integral means…
Logarithmic Coefficients and Generalized Multifractality of Whole-Plane SLE
Bertrand Duplantier, Xuan Hieu Ho, Thanh Binh Le +1
We consider the whole-plane SLE conformal map f from the unit disk to the slit plane, and show that its mixed moments, involving a power p of the derivative modulus |f'| and a powe…