7 citations · 17 across the 5 of their papers we have counts for
6 papers
Lipschitz extensions into Jet space Carnot groups
Stefan Wenger, Robert Young
The aim of this article is to prove a Lipschitz extension theorem for partially defined Lipschitz maps to jet spaces endowed with a left-invariant sub-Riemannian Carnot-Carathéodor…
A polynomial isoperimetric inequality for SL(n,Z)
Robert Young
We prove that when n>=5, the Dehn function of SL(n,Z) is at most quartic. The proof involves decomposing a disc in SL(n,R)/SO(n) into a quadratic number of loops in generalized Sie…
Homological and homotopical higher-order filling functions
Robert Young
We construct groups in which FV^3(n) != δ^2(n). This construction also leads to groups G_k, k >= 3 for which δ^{k}(n) is not subrecursive.
Scaled relators and Dehn functions for nilpotent groups
Robert Young
A homogeneous nilpotent Lie group has a scaling automorphism determined by a grading of its Lie algebra. Many proofs of upper bounds for the Dehn function of such a group depend on…
Counting hyperbolic manifolds with bounded diameter
Robert Young
Let be the number of complete hyperbolic manifolds of dimension n with volume less than . Burger, Gelander, Lubotzky, and Moses showed that when n>3 there exist a,b>0 d…
Averaged Dehn Functions for Nilpotent Groups
Robert Young
Gromov proposed an averaged version of the Dehn function and claimed that in many cases it should be subasymptotic to the Dehn function. Using results on random walks in nilpotent…