Amir Algom

activity

20182026

most citedImproved versions of some Furstenberg type slicing Theorems for self-affine carpets

1 citations · 1 across the 14 of their papers we have counts for

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Showing 2023Show all

2 papers · 1 filter

math.DS2023

Polynomial Fourier decay and a cocycle version of Dolgopyat's method for self conformal measures

Amir Algom, Federico Rodriguez Hertz, Zhiren Wang

We show that every self conformal measure with respect to a $C^{2} (R)$ IFS $Φ$ has polynomial Fourier decay under some mild and natural non-linearity conditions. In particu…

math.DS2023

Large slices through self affine carpets

Amir Algom, Meng Wu

Let $F \subseteq [0, 1]^{2}$ be a Bedford-McMullen carpet defined by exponents $m > n$ , that projects to $[0, 1]$ on the $y$ -axis. We show that under mild conditions on $F$ , there are man…