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Article Dans Une Revue Communications in Mathematical Physics Année : 2013

Limit Theorems for Self-Similar Tilings

Résumé

We study deviation of ergodic averages for dynamical systems given by self-similar tilings on the plane and in higher dimensions. The main object of our paper is a special family of finitely-additive measures for our systems. An asymptotic formula is given for ergodic integrals in terms of these finitely-additive measures, and, as a corollary, limit theorems are obtained for dynamical systems given by self-similar tilings.
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hal-01256184 , version 1 (14-01-2016)

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Alexander I. Bufetov, Boris Solomyak. Limit Theorems for Self-Similar Tilings. Communications in Mathematical Physics, 2013, ⟨10.1007/s00220-012-1624-7⟩. ⟨hal-01256184⟩
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