Amir Algom

activity

20182020

collaborators

3 papers

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 $ℓ$ …