38 citations · 90 across the 18 of their papers we have counts for
4 papers · 1 filter
On quasisymmetric mappings in semimetric spaces
Evgeniy Petrov, Ruslan Salimov
The class of quasisymmetric mappings on the real axis was first introduced by A. Beurling and L. V. Ahlfors in 1956. In 1980 P. Tukia and J. Väisälä considered these mappings betwe…
Weak similarities of finite ultrametric and semimetric spaces
Evgeniy Petrov
Weak similarities form a special class of mappings between semimetric spaces. Two semimetric spaces and are weakly similar if there exists a weak similarity $Φ\colon X\to Y…
On a weighted generalization of Kendall's tau distance
Albert Bruno Piek, Evgeniy Petrov
We introduce a metric on the set of permutations of given order, which is a weighted generalization of Kendall's rank distance and study its properties. Using the edge graph of…
Minimum spanning paths and Hausdorff distance in finite ultrametric spaces
Evgeniy Petrov
It is shown that a minimum weight spanning tree of a finite ultrametric space can be always found in the form of path. As a canonical representing tree such path uniquely defines t…