Marstrand type slicing statements in $\mathbb{Z}^{2}\subset \mathbb{R}^{2}$ are false for the counting dimension

Aritro Pathak

Type: Preprint

Publication Date: 2020-05-19

Citations: 0

Locations

arXiv (Cornell University) - View

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Works That Cite This (0)

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Works Cited by This (12)

Action	Title	Year	Authors
+	Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability	1995	Pertti Mattila
+	Defining Fractal Subsets of <i>Z</i> <sup> <i>d</i> </sup>	1992	Martin T. Barlow S. J. Taylor
+	Fractional dimension of sets in discrete spaces	1989	Martin T. Barlow S. J. Taylor
+	Dimension of discrete fractal spaces	1988	Jan Naudts
+	Analogues of the Lebesgue Density Theorem for Fractal Sets of Reals and Integers	1992	Tim Bedford Albert M. Fisher
+ PDF Chat	A Marstrand Theorem for Subsets of Integers	2013	Yuri Lima Carlos Gustavo Moreira
+ PDF Chat	Integer Cantor sets and an order-two ergodic theorem	1993	Albert M. Fisher
+ PDF Chat	Marstrand-type Theorems for the Counting and Mass Dimensions in ℤ	2016	Daniel Glasscock
+	Fractals in Probability and Analysis	2016	Christopher J. Bishop Yuval Peres
+ PDF Chat	A proof of Furstenberg's conjecture on the intersections of $\times p$- and $\times q$-invariant sets	2019	Meng Wu