Yana Teplitskaya

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

2 citations · 2 across the 1 of their papers we have counts for

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2 papers

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…