Márton Elekes

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math.GM2007★ 1 cited

Self-similar and self-affine sets; measure of the intersection of two copies

Márton Elekes, Tamás Keleti, András Máthé

Let K be a self-similar or self-affine set in R^d, let μbe a self-similar or self-affine measure on it, and let G be the group of affine maps, similitudes, isometries or translatio…

math.GM2003

Less than $2^{/} o m e g a$ many translates of a compact nullset may cover the real line

Marton Elekes

We answer a question of Darji and Keleti by proving in $Z F C$ that there exists a compact nullset $C_0\subset\RR$ such that for every perfect set $P\subset\RR$ there exists $x\in\RR…

Self-similar and self-affine sets; measure of the intersection of two copies

Less than 2/omega many translates of a compact nullset may cover the real line

Less than $2^{/} o m e g a$ many translates of a compact nullset may cover the real line