5 papers
Random Quotients of Hyperbolic Spaces with Respect to WPD Actions and Linear Connectivity of the Boundary
Inhyeok Choi, Henry Talbott
We study random quotients of acylindrically hyperbolic groups and hierchically hyperbolic groups, whose (partial) hyperbolicity is captured by their actions on Gromov hyperbolic sp…
Weyl-invariant subspaces are (usually) not generic
Riku Kurama, Ruoxi Li, Henry Talbott +1
Let be a linear representation of a connected complex reductive group . Given a choice of character of , Geometric Invariant Theory defines a locus $V^{ss}_θ(G) \subs…
Dynamical zeta functions and resonance chains for infinite-area hyperbolic surfaces with large funnel widths
Henry Talbott
We quantitatively relate the resonance sets of topologically finite infinite-area hyperbolic surfaces with no cusps to the resonance sets of certain metric graphs via the spine gra…
Critical Exponents on Hyperbolic Surfaces with Long Boundaries and the Asymptotic Weil-Petersson Form
Henry Talbott
We study the critical exponent random variable on moduli spaces of hyperbolic surfaces with boundary, using the normalized Weil-Petersson measures as probability me…
Dynamical moduli spaces and polynomial endomorphisms of configurations
Talia Blum, John R. Doyle, Trevor Hyde +3
A portrait is a combinatorial model for a discrete dynamical system on a finite set. We study the geometry of portrait moduli spaces, whose points correspond to equivalence classes…