28 citations · 78 across the 14 of their papers we have counts for
4 papers · 1 filter
Minimal volume entropy and fiber growth
Ivan Babenko, Stéphane Sabourau
This article deals with topological assumptions under which the minimal volume entropy of a closed manifold , and more generally of a finite simplicial complex , vanishes or…
Minimal volume entropy of simplicial complexes
Ivan Babenko, Stephane Sabourau
This article deals with topological assumptions under which the minimal volume entropy of a closed manifold, and more generally of a finite simplicial complex, vanishes or is posit…
Volume entropy semi-norm
Ivan Babenko, Stephane Sabourau
We introduce the volume entropy semi-norm in real homology and show that it satisfies functorial properties similar to the ones of the simplicial volume. Answering a question of M.…
Systolic geometry and simplicial complexity for groups
Ivan Babenko, Florent Balacheff, Guillaume Bulteau
Twenty years ago Gromov asked about how large is the set of isomorphism classes of groups whose systolic area is bounded from above. This article introduces a new combinatorial inv…