Statistics and gap distributions in random Kakutani partitions and multiscale substitution tilings
نویسندگان
چکیده
We study statistics of tiles in random incommensurable Kakutani sequences partitions Rd. provide explicit formulas that illustrate the dependence on combinatorial structure, volumes participating and entropy underlying substitution system. These improve previous results for non-random multiscale tilings, imply a gap distribution formula Delone sets associated with tilings real line.
منابع مشابه
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2022
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2022.126535