Ergodic theorems for random clusters

详细信息    查看全文

• 作者：Michael Bjö ; rklund
• 关键词：Ergodic theorems ; Loewner evolution ; Weak convergence
• 刊名：Stochastic Processes and their Applications
• 出版年：2010
• 出版时间：March 2010
• 年：2010
• 卷：120
• 期：3
• 页码：296-305
• 全文大小：408 K

文摘

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 on the theory of quasi-orthogonal functions and uniform Wiener–Wintner theorems.