11 citations · 22 across the 10 of their papers we have counts for
10 papers
On homogeneity of Cantor cubes
E. Shchepin, V. Valov
It is established that any homeomorphism between two closed negligible subset of can be extended to an autohomeomorphism of .
On lower estimations of square-linear ratio for plane Peano curves
Evgeny Shchepin, Evgeny Mychka
It is proved that for any mapping of a unit segment to a unit square, there is a pair of points of the segment for which the square of the Euclidean distance between their images e…
Search of fractal space-filling curves with minimal dilation
Yuri Malykhin, Evgeny Shchepin
We introduce an algorithm for a search of extremal fractal curves in large curve classes. It heavily uses SAT-solvers~ -- heuristic algorithms that find models for CNF boolean form…
About the Serpinsky-Knopp curve
Evgeny Shchepin
The Serpinsky-Knopp curve is characterized as the only curve (up to isometry) that maps a unit segment onto a triangle of a unit area, so for any pair of points in the segment, the…
Chain development of metric compacts
Yu. V. Malykhin, E. V. Shchepin
Chain distance between points in a metric space is defined as the infimum of epsilon such that there is an epsilon-chain connecting these points. We call a mapping of a metric comp…
Riesz means and Greedy Sums
Evgeny Shchepin
One introduces the concept of greedy k-summability in such a way, that the direct product of one greedy k-summable numeric array onto another greedy n-summable numeric array to be…