Bennett, Iosevich and Taylor proved that compact subsets of ℝd, d ≥ 2, of Hausdorff dimensions greater than (Formula Presented) contain chains of arbitrary length with gaps in a non-trivial interval. In this paper we generalize this result to arbitrary tree configurations.
CITATION STYLE
Iosevich, A., & Taylor, K. (2019). Finite Trees Inside Thin Subsets of ℝd. In Springer Proceedings in Mathematics and Statistics (Vol. 291, pp. 51–56). Springer New York LLC. https://doi.org/10.1007/978-3-030-26748-3_3
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