15 citations · 72 across the 19 of their papers we have counts for
21 papers
Minimal surfaces and the new main inequality
Vladimir Markovic, Nathaniel Sagman
We establish the new main inequality as a minimizing criterion for minimal maps to products of -trees, and the infinitesimal new main inequality as a stability criterio…
Unstable minimal surfaces in and in products of hyperbolic surfaces
Vladimir Markovic, Nathaniel Sagman, Peter Smillie
We prove that every unstable equivariant minimal surface in produces a maximal representation of a surface group into toget…
Homogenization of random quasiconformal mappings and random Delauney triangulations
Oleg Ivrii, Vladimir Markovic
In this paper, we solve two problems dealing with the homogenization of random media. We show that a random quasiconformal mapping is close to an affine mapping, while a circle pac…
Non-realizability of the Torelli group as area-preserving homeomorphisms
Lei Chen, Vladimir Markovic
Nielsen realization problem for the mapping class group asks whether the natural projection has a section. While all…
Classifying complex geodesics for the Carathéodory metric on low-dimensional Teichmüller spaces
Dmitri Gekhtman, Vladimir Markovic
It was recently shown that the Carathéodory and Teichmüller metrics on the Teichmüller space of a closed surface do not coincide. On the other hand, Kra earlier showed that the met…
Heat flows on hyperbolic spaces
Marius Lemm, Vladimir Markovic
In this paper we develop new methods for studying the convergence problem for the heat flow on negatively curved spaces and prove that any quasiconformal map of the sphere $\mathbb…