Ergodic theorems for random clusters

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:120

Article

Bjorklund, Michael

关键词: Ergodic theorems;    Loewner evolution;    Weak convergence;   

DOI  :  10.1016/j.spa.2009.11.007

来源: Elsevier

【 摘 要 】

We prove pointwise ergodic theorems for a class of random measures which Occurs in Laplacian growth models, most notably in the anisotropic Hastings-Levitov random cluster models. The proofs are based oil the theory Of quasi-orthogonal functions and uniform Wintner-Wintner theorems. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free