Amir Algom

activity

20182022

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

1 citations · 1 across the 3 of their papers we have counts for

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math.DS2022

Arbitrarily slow decay in the Möbius disjointness conjecture

Amir Algom, Zhiren Wang

Sarnak's Möbius disjointness conjecture asserts that for any zero entropy dynamical system $(X, T)$ , $\frac{1}{N} \sum_{n = 1}^{N} f (T^{n} x) μ (n) = o (1)$ for every $f \in C (X)$ …

math.DS2021★ 1 cited

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

Amir Algom, Meng Wu

Let $F$ be a Bedford-McMullen carpet defined by independent integer exponents. We prove that for every line $ℓ \subseteq R^{2}$ not parallel to the major axes, $$ \dim_H…

math.DS2020

Pointwise normality and Fourier decay for self-conformal measures

Amir Algom, Federico Rodriguez Hertz, Zhiren Wang

Let $Φ$ be a $C^{1 + γ}$ smooth IFS on $R$ , where $γ > 0$ . We provide mild conditions on the derivative cocycle that ensure that every self conformal measure is supported on p…

math.DS2020

Actions of diagonal endomorphisms on conformally invariant measures on the 2-torus

Amir Algom

Let $ν$ be a probability measure that is ergodic under the endomorphism $(\times p, \times p)$ of the torus $T^{2}$ , such that $dim π μ < dim μ$ for some non-principal proje…

math.DS2019

A simultaneous version of Host's equidistribution Theorem

Amir Algom

Let $μ$ be a probability measure on $R / Z$ that is ergodic under the $\times p$ map, with positive entropy. In 1995, Host showed that if $g cd (m, p) = 1$ then $μ$ alm…

math.DS2018

Slicing Theorems and rigidity phenomena for self affine carpets

Amir Algom

Let $F$ be a Bedford-McMullen carpet defined by independent exponents. We prove that $dim_{B} (ℓ \cap F) \leq max {dim^{*} F - 1, 0}$ for all lines $ℓ$ …