Merlin Incerti-Medici

activity

20172026

most cited

CAT (0)

cube complexes are determined by their boundary cross ratio

10 citations · 20 across the 15 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.GT2021

The normal growth exponent of a codimension-1 hypersurface of a negatively curved manifold

Corey Bregman, Merlin Incerti-Medici

Let $X$ be a Hadamard manifold with pinched negative curvature $- b^{2} \leq κ \leq - 1$ . Suppose $Σ \subseteq X$ is a totally geodesic, codimension-1 submanifold and consider the geodesic…

math.GT2021

Contractibility of boundaries of cocompact convex sets and embeddings of limit sets

Corey Bregman, Merlin Incerti-Medici

We provide sufficient conditions as to when a boundary component of a cocompact convex set in a CAT(0)-space is contractible. We then use this to study when the limit set of a quas…

math.GT2021★ 1 cited

Sublinearly Morse boundaries from the viewpoint of combinatorics

Merlin Incerti-Medici, Abdul Zalloum

We prove that the sublinearly Morse boundary of every known cubulated group continuously injects in the Gromov boundary of a certain hyperbolic graph. We also show that for all CAT…