Cole Jeznach

activity

20182026

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math.CA2023

Small constant uniform rectifiability

Cole Jeznach

We provide several equivalent characterizations of locally flat, $d$ -Ahlfors regular, uniformly rectifiable sets $E$ in $R^{n}$ with density close to $1$ for any dimension $…

math.AP2023

Cantor sets with absolutely continuous harmonic measure

Guy David, Cole Jeznach, Antoine Julia

We construct Ahlfors regular Cantor sets $K$ of small dimension in the plane, such that the Hausdorff measure on $K$ is equivalent to the harmonic measure associated to its complem…