33 citations · 75 across the 13 of their papers we have counts for
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math.CA2012
Intersection of continua and rectifiable curves
Richárd Balka, Viktor Harangi
We prove that for any non-degenerate continuum there exists a rectifiable curve such that its intersection with has Hausdorff dimension 1. This answe…
math.CA2011★ 2 cited
How large dimension guarantees a given angle?
Viktor Harangi, Tamás Keleti, Gergely Kiss +4
We study the following two problems: (1) Given and $\al$, how large Hausdorff dimension can a compact set $A\su\Rn$ have if does not contain three points that form an…
math.CA2007
Invariant decomposition of functions with respect to commuting invertible transformations
Bálint Farkas, Viktor Harangi, Tamás Keleti +1
Consider a_1,a_2,...,a_n, arbitrary elements of R. We characterize those real functions f that decompose into the sum of a_j-periodic functions, i.e., f=f_1+...+f_n with D_{a_j}f(x…