WebNavas [13], and Gadre-Maher-Tiozzo [18]. Note that a lattice Γ ă Isom H2 is a hyperbolic group, while this is not true for lattices in Isom Hn, ně 3. For symmetric random walks on geometrically finite but not convex cocompact isometry groups of Gromov hyperbolic spaces, the singularity of harmonic and Webis nonelementary if it contains two independent loxodromics. A graph structure (G;) is nonelementary for the action Gy Xif for any vertex vof maximal growth (see De nition 3.1) the loop semigroup v is nonelementary. We now introduce several criteria on a graph structure that guarantee it is nonelementary: we call them thickness and quasitightness.
(PDF) Statistical Hyperbolicity for Harmonic Measure
WebSamuel J. Taylor and Giulio Tiozzo Department of Mathematics, Yale University, 10 Hillhouse Ave, New Haven, CT 06511, USA Correspondence to be sent to: [email protected] In this note, we prove that a random extension of either the free group F N of rank N ≥3 or of the fundamental group of a closed, orientable surface S g of … WebDr. Mazzeo is a 2024-2024 Public Scholar with the National Endowment for the Humanities (US), working on a book about nineteenth-century merchant mariner, Mary Ann Patten, … goldbees company info
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WebWe establish spectral theorems for random walks on mapping class groups of connected, closed, oriented, hyperbolic surfaces, and on Out(FN). In both cases, we relate ... Web2 JOSEPH MAHER, GIULIO TIOZZO In particular, all acylindrically hyperbolic groups are weakly hyperbolic, see Section 1.2 for further discussion and more examples. In this … WebWe prove that for suitable random walks on isometry groups of CAT(−1) spaces, typical sample paths eventually land on loxodromic elements which equidistribute with respect to a flow invariant measure on the unit tangent bundle of the quotient space. hbo max oficial