16 citations · 16 across the 2 of their papers we have counts for
2 papers
math.MG2014
On the quantitative quasi-isometry problem: transport of Poincaré inequalities and different types of quasi-isometric distortion growth
Vladimir Shchur
We consider a quantitative form of the quasi-isometry problem. We discuss several arguments which lead us to different results and bounds of quasi-isometric distortion: comparison…
math.MG2011★ 16 cited
A quantitative version of the Morse lemma and ideal boundary fixing quasiisometries
Vladimir Shchur
The article is devoted to a proof of the optimal upper-bound for Morse Lemma, its "anti"-version and their applications. Roughly speaking, Morse Lemma states that in a hyperbolic m…