Complex Generalized Integral Means Spectrum of Drifted Whole-Plane SLE and LLE
Abstract
We present new results for the complex generalized integral means spectrum for two kinds of whole-plane Loewner evolutions driven by L\'evy processes: - L\'evy processes with continuous trajectories, which correspond to Schramm-Loewner evolutions (SLE) with a drift term in the Brownian driving function. A natural path to access the standard integral means spectrum in the presence of drift goes through the introduction of the complex generalized integral means spectrum, which is obtained via the so-called Liouville quantum gravity. -Symmetric L\'evy processes for which we generalize recent results by Loutsenko and Yermolayeva.
Keywords
Cite
@article{arxiv.2206.09192,
title = {Complex Generalized Integral Means Spectrum of Drifted Whole-Plane SLE and LLE},
author = {Bertrand Duplantier and Yong Han and Chi Nguyen and Michel Zinsmeister},
journal= {arXiv preprint arXiv:2206.09192},
year = {2023}
}
Comments
48 pages, 13 figures. To be published in the special issue of Annales Henri Poincar\'e dedicated to the memory of Krzysztof Gawedzki