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Ergodic theorems for random clusters

Michael Björklund

Stochastic Processes and their Applications, 2010, vol. 120, issue 3, 296-305

Abstract: 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.

Keywords: Ergodic; theorems; Loewner; evolution; Weak; convergence (search for similar items in EconPapers)
Date: 2010
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