3 citations · 4 across the 21 of their papers we have counts for
9 papers · 1 filter
On local minimality of Hausdorff dimension for round limit sets
Sami Douba, Andrés Sambarino, Franco Vargas Pallete
We address a question of Canary--Taylor and Canary--Minsky--Taylor for sufficiently symmetric compact hyperbolic -orbifolds with totally geodesic boundary. We give sufficient co…
Complex hyperbolic surfaces whose closed geodesics are all simple
Sami Douba, D. B. McReynolds, Julien Paupert +1
We show that all closed geodesics in any arithmetic complex hyperbolic surface of second type are simple. These include the fake projective planes studied by Mumford, Klingler, Pra…
On topologically transitive subsets of flag manifolds
Subhadip Dey, Sami Douba, Konstantinos Tsouvalas
We discuss some contexts in which the topological dynamics of certain Anosov subgroups of higher-rank Lie groups on "bad" subsets of flag manifolds can be analyzed using results fr…
Convex cocompact right-angled Gromov-Thurston polyhedra
Sami Douba
Lee and Marquis exhibited convex cocompact hyperbolic reflection groups in dimension 5 whose limit sets are homeomorphic to the 3-sphere, but none of whose finite-index subgroups c…
On transversality in flag manifolds and linearity of amalgams
Sami Douba, Konstantinos Tsouvalas
We show that the fundamental group of the double of a complete negatively curved locally symmetric manifold along a closed geodesic is linear. More generally, we establish linearit…
Bordered hyperbolic manifolds with a fixed perimeter-to-volume ratio
Sami Douba, Franco Vargas Pallete
We exhibit, for any , infinitely many pairwise incommensurable complete finite-volume hyperbolic -manifolds, both compact and noncompact, each with nonempty totally ge…
Convex cocompact groups with three-dimensional limit sets
Sami Douba, Gye-Seon Lee, Ludovic Marquis +1
We provide a general construction of convex cocompact hyperbolic reflection groups with three-dimensional limit sets. More precisely, our construction takes as input an arbitrary s…
Quasihomomorphisms to real algebraic groups
Sami Douba, Francesco Fournier-Facio, Sam Hughes +1
A quasihomomorphism is a map that satisfies the homomorphism relation up to bounded error. Fujiwara and Kapovich proved a rigidity result for quasihomomorphisms taking values in di…
Matrix entries, unipotents, and linearity of amalgams
Sami Douba, Konstantinos Tsouvalas
We investigate linearity of amalgams of subgroups of algebraic groups along intersections with algebraic subgroups. In the process, we establish linearity of certain "doubles" of l…