Výsledky vyhledávání - "Mousley, Sarah"

Report

Hierarchically hyperbolic groups are determined by their Morse boundaries

Autor: Mousley, Sarah C., Russell, Jacob

We generalize a result of Paulin on the Gromov boundary of hyperbolic groups to the Morse boundary of proper, maximal hierarchically hyperbolic spaces admitting cocompact group actions by isometries. Namely we show that if the Morse boundaries of two

Externí odkaz: http://arxiv.org/abs/1801.04867

Zobrazit plný text záznamu

Report

Exotic limit sets of Teichm\'uller geodesics in the HHS boundary

Autor: Mousley, Sarah C.

We answer a question of Durham, Hagen, and Sisto, proving that a Teichm\"uller geodesic ray does not necessarily converge to a unique point in the hierarchically hyperbolic space boundary of Teichm\"uller space. In fact, we prove that the limit set c

Externí odkaz: http://arxiv.org/abs/1704.08645

Zobrazit plný text záznamu

Report

Non-existence of boundary maps for some hierarchically hyperbolic spaces

Autor: Mousley, Sarah C.

Publikováno v: Algebr. Geom. Topol. 18 (2018) 409-439

We provide negative answers to questions posed by Durham, Hagen, and Sisto on the existence of boundary maps for some hierarchically hyperbolic spaces, namely maps from right-angled Artin groups to mapping class groups. We also prove results on exist

Externí odkaz: http://arxiv.org/abs/1610.07691

Zobrazit plný text záznamu

Report

Planar rook algebra with colors and Pascal's simplex

Autor: Mousley, Sarah, Schley, Nathan, Shoemaker, Amy

We define $P_{n,c}$ to be the set of all diagrams consisting of two rows of $n$ vertices with edges, each colored with an element in a set of $c$ possible colors, connecting vertices in different rows. Each vertex can have at most one edge incident t

Externí odkaz: http://arxiv.org/abs/1211.0663

Zobrazit plný text záznamu