147 citations · 468 across the 45 of their papers we have counts for
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Second Order Ergodic Theorem for Self-Similar Tiling Systems
Konstantin Medynets, Boris Solomyak
We consider infinite measure-preserving non-primitive self-similar tiling systems in Euclidean space . We establish the second-order ergodic theorem for such systems,…
Dimensions of some fractals defined via the semigroup generated by 2 and 3
Yuval Peres, Joerg Schmeling, Stéphane Seuret +1
We compute the Hausdorff and Minkowski dimension of subsets of the symbolic space that are invariant under multiplication by integers. The results apply to t…
Limit theorems for self-similar tilings
Alexander I. Bufetov, Boris Solomyak
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 o…
The Multiplicative golden mean shift has infinite Hausdorff measure
Yuval Peres, Boris Solomyak
In an earlier work, joint with R. Kenyon, we computed the Hausdorff dimension of the "multiplicative golden mean shift" defined as the set of all reals in [0,1] whose binary expans…