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Ergodic theorems for random clusters

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  • Björklund, Michael

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.

Suggested Citation

  • Björklund, Michael, 2010. "Ergodic theorems for random clusters," Stochastic Processes and their Applications, Elsevier, vol. 120(3), pages 296-305, March.
    • Handle: RePEc:eee:spapps:v:120:y:2010:i:3:p:296-305
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