Yana Teplitskaya

most citedPolygons with prescribed edge slopes: configuration space and extremal points of perimeter

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.CA2024

Optimal regularity for quasiminimal sets of codimension one in $R^{2}$ and $R^{3}$

Camille Labourie, Yana Teplitskaya

Quasiminimal sets are sets for which a pertubation can decrease the area but only in a controlled manner. We prove that in dimensions $2$ and $3$ , such sets separate a locally fini…

math.GT2017★ 2 cited

Polygons with prescribed edge slopes: configuration space and extremal points of perimeter

Joseph Gordon, Gaiane Panina, Yana Teplitskaya

We describe the configuration space $S$ of polygons with prescribed edge slopes, and study the perimeter $P$ as a Morse function on $S$ . We characterize…

math.MG2017

Self-contracted curves have finite length

Eugene Stepanov, Yana Teplitskaya

A curve $θ$ : $I \to E$ in a metric space $E$ equipped with the distance $d$ , where $I \subset R$ is a (possibly unbounded) interval, is called self-contracted, if for any triple of…

Optimal regularity for quasiminimal sets of codimension one in R2 and R3

Polygons with prescribed edge slopes: configuration space and extremal points of perimeter

Self-contracted curves have finite length

Optimal regularity for quasiminimal sets of codimension one in $R^{2}$ and $R^{3}$