25 citations · 28 across the 5 of their papers we have counts for
8 papers
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…
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…
A Gauss-Bonnet formula for moduli spaces of Riemann surfaces
Enrico Leuzinger
We prove a Gauss-Bonnet theorem for (finite coverings of) moduli spaces of Riemann surfaces endowed with the McMullen metric. The proof uses properties of an exhaustion of moduli s…
Optimal higher-dimensional Dehn functions for some CAT(0) lattices
Enrico Leuzinger
Let be the metric product of a symmetric space of noncompact type, a Euclidean space and a product of Euclidean buildings. Let be a discrete…
The asymptotic Schottky problem
Lizhen Ji, Enrico Leuzinger
Let denote the moduli space of compact Riemann surfaces of genus and let be the space of principally polarized abelian varieties of (complex) dime…
Reduction theory for mapping class groups and applications to moduli spaces
Enrico Leuzinger
Let be a compact, orientable surface of genus with punctures and such that . The mapping class group acts properly discontinuou…