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math.GR2017
Filling functions of arithmetic groups
Enrico Leuzinger, Robert Young
The Dehn function and its higher-dimensional generalizations measure the difficulty of filling a sphere in a space by a ball. In nonpositively curved spaces, one can construct fill…
math.GR2015
The distortion dimension of --rank lattices
Enrico Leuzinger, Robert Young
Let be a symmetric space of noncompact type and rank . We prove that horospheres in are Lipschitz --connected if their centers are not contained in a pro…