7 citations · 19 across the 17 of their papers we have counts for
6 papers · 1 filter
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…
On The Brownian Loop Measure
Yong Han, Yuefei Wang, Michel Zinsmeister
In 2003 Lawler and Werner introduced the Brownian loop measure and studied some of its properties. Cardy and Gamsa has predicted a formula for the total mass of the Brownian loop m…
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…
Mean exit time for surface-mediated diffusion: spectral analysis and asymptotic behavior
O. Bénichou, D. S. Grebenkov, L. Hillairet +3
We consider a model of surface-mediated diffusion with alternating phases of pure bulk and surface diffusion. For this process, we compute the mean exit time from a disk through a…
The Coefficient Problem and Multifractality of Whole-Plane SLE and LLE
Bertrand Duplantier, Nguyen Thi Phuong Chi, Nguyen Thi Thuy Nga +1
We revisit the Bieberbach conjecture in the framework of SLE processes and, more generally, Lévy processes. The study of their unbounded whole-plane versions leads to a discrete se…