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math.DS2021★ 1 cited
Discrepancy and rectifiability of almost linearly repetitive Delone sets
Yotam Smilansky, Yaar Solomon
We extend a discrepancy bound of Lagarias and Pleasants for local weight distributions on linearly repetitive Delone sets and show that a similar bound holds also for the more gene…
math.DS2021★ 3 cited
Statistics and gap distributions in random Kakutani partitions and multiscale substitution tilings
Yotam Smilansky
We study statistics of tiles in random incommensurable Kakutani sequences of partitions in . We provide explicit formulas that illustrate the dependence on the combin…