supported by the French National Research Agency (ANR) within the Project Marches aléatoires en interaction (MALIN) (Grant No. ANR-16-CE93-0003);supported by Beijing Natural Science Foundation (Grant No. JQ20001)
In this article, we construct samples of Schramm-Loewner-evolution-like curves out of samples ofthe conformal loop ensemble and Poisson point processes of Brownian excursions. We show that the laws of thesecurves depe...
Loewner's theorem on monotone matrix functions,by Barry Simon,Grundlehren der mathematischen Wissenschaften,Vol.354,Springer Nature Switzerland,2019,xi+459 pp.,ISBN 978-3-030-22421-9,978-3-030-22422-6(ebook)1.历史如果...
supported by Spanish government Grants MTM2014-52402-C3-1-P and MTM2017-85757-P;the BBVA Foundation Grant for Researchers and Cultural Creators 2016;supported by NSF Grant DMS-1501004.
We consider the problem of finding on a given Euclidean domainof dimension n≥3 a complete conformally flat metric whose Schouten curvature A satisfies some equations of the form f(λ(−A))=1.This generalizes a proble...