Gregory R. Chambers

activity

20122023

most citedQuantitative null-cobordism

14 citations · 40 across the 14 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.DG2015

Splitting a contraction of a simple curve traversed $m$ times

Gregory R. Chambers, Yevgeny Liokumovich

Suppose that $M$ is a $2$ -dimensional oriented Riemannian manifold, and let $γ$ be a simple closed curve on $M$ . Let $mγ$ denote the curve formed by tracing $γ$ $m$ times. We prov…

math.DS2015★ 4 cited

Ergodic properties of folding maps on spheres

Almut Burchard, Gregory R. Chambers, Anne Dranovski

We consider the trajectories of points on $S^{d - 1}$ under sequences of certain folding maps associated with reflections. The main result characterizes collections of fol…

math.DG2015★ 7 cited

Isoperimetric Regions in $R^{n}$ with density $r^{p}$

Wyatt Boyer, Bryan Brown, Gregory R. Chambers +2

We show that the unique isoperimetric hypersurfaces in $R^{n}$ with density $r^{p}$ for $n \geq 3$ and $p > 0$ are spheres that pass through the origin.

Splitting a contraction of a simple curve traversed m times

Ergodic properties of folding maps on spheres

Isoperimetric Regions in Rn with density rp

Splitting a contraction of a simple curve traversed $m$ times

Isoperimetric Regions in $R^{n}$ with density $r^{p}$