24 citations · 71 across the 19 of their papers we have counts for
21 papers
Stars at infinity in the Thurston boundary
Meenakshy Jyothis, Jing Tao
We study the stars at infinity in the Thurston boundary of Teichmüller space for the Thurston and Teichmüller metrics. For the Thurston metric, we prove that for every finite-type…
Hyperbolic models and stability recognition for Coxeter groups
Christopher H. Cashen, Michelle Chu, Jing Tao
Given a finite rank Coxeter system, we construct a hyperbolic space by coning off the wide parabolic subcomplexes of its Davis complex. The resulting space is ``stability recognizi…
Deflating hyperbolic surfaces and the shapes of optimal Lipschitz maps
Aaron Calderon, Jing Tao
Given two hyperbolic surfaces and a homotopy class of maps between them, Thurston proved that there always exists a representative minimizing the Lipschitz constant. While not uniq…
Thurston geodesics: no backtracking and active intervals
Anna Lenzhen, Babak Modami, Kasra Rafi +1
We develop the notion of the active interval for a subsurface along a geodesic in the Thurston metric on Teichmuller space of a surface S. That is, for any geodesic in the Thurston…
Towards Nielsen-Thurston classification for surfaces of infinite type: well-tempered homeomorphisms
Mladen Bestvina, Federica Fanoni, Jing Tao
We introduce and study tempered mapping classes of surfaces of infinite type. These are maps for which curves under iteration do not accumulate onto geodesic laminations with non-p…
Limit sets of unfolding paths in Outer space
Mladen Bestvina, Radhika Gupta, Jing Tao
We construct an unfolding path in Outer space which does not converge in the boundary, and instead it accumulates on the entire 1-simplex of projectivized length measures on a non-…
Self-similar surfaces: involutions and perfection
Justin Malestein, Jing Tao
We investigate the problem of when big mapping class groups are generated by involutions. Restricting our attention to the class of self-similar surfaces, which are surfaces with s…
Genericity of pseudo-Anosov mapping classes, when seen as mapping classes
Viveka Erlandsson, Juan Souto, Jing Tao
We prove that pseudo-Anosov mapping classes are generic with respect to certain notions of genericity reflecting that we are dealing with mapping classes.
Big Torelli groups: generation and commensuration
Javier Aramayona, Tyrone Ghaswala, Autumn E. Kent +3
For any surface of infinite topological type, we study the Torelli subgroup of the mapping class group , whose elements are those mapping classe…
Genus bounds in right-angled Artin groups
Max Forester, Ignat Soroko, Jing Tao
We show that in any right-angled Artin group whose defining graph has chromatic number , every non-trivial element has stable commutator length at least . Secondly, if t…
Coarse and fine geometry of the Thurston metric
David Dumas, Anna Lenzhen, Kasra Rafi +1
We study the geometry of the Thurston metric on the Teichmüller space of hyperbolic structures on a surface . Some of our results on the coarse geometry of this…
Effective quasimorphisms on free chains
Jing Tao
We find homogeneous counting quasimorphisms that are effective at seeing chains in a free group F. As corollary, we derive that if a group G has an index-d free subgroup, then ever…
Veech surfaces and simple closed curves
Max Forester, Robert Tang, Jing Tao
We study the SL(2,R)-infimal lengths of simple closed curves on half-translation surfaces. Our main result is a characterization of Veech surfaces in terms of these lengths. We als…
Effective quasimorphisms on right-angled Artin groups
Talia Fernós, Max Forester, Jing Tao
We construct new families of quasimorphisms on many groups acting on CAT(0) cube complexes. These quasimorphisms have a uniformly bounded defect of 12, and they "see" all elements…
Uniform growth rate
Kasra Rafi, Jing Tao
In an evolutionary system in which the rules of mutation are local in nature, the number of possible outcomes after mutations is an exponential function of but with a rate…
The shadow of a Thurston geodesic to the curve graph
Anna Lenzhen, Kasra Rafi, Jing Tao
We study the geometry of the Thurston metric on Teichmuller space by examining its geodesics and comparing them to Teichmuller geodesics. We show that, similar to a Teichmuller geo…
Growth Tight Actions of Product Groups
Christopher H. Cashen, Jing Tao
A group action on a metric space is called growth tight if the exponential growth rate of the group with respect to the induced pseudo-metric is strictly greater than that of its q…
Growth Tight Actions
Goulnara N. Arzhantseva, Christopher H. Cashen, Jing Tao
We introduce and systematically study the concept of a growth tight action. This generalizes growth tightness for word metrics as initiated by Grigorchuk and de la Harpe. Given a f…
Diameter of the thick part of moduli space and simultaneous Whitehead moves
Kasra Rafi, Jing Tao
Let S be a surface of genus g with p punctures with negative Euler characteristic. We study the diameter of the -thick part of moduli space of S equipped with the Teichmüller or…
Linearly Bounded Conjugator Property for Mapping Class Groups
Jing Tao
Given two conjugate mapping classes f and g, we produce a conjugating element w such that |w| < K(|f|+|g|), where |.| denotes the word metric with respect to a fixed generating set…
Bounded combinatorics and the Lipschitz metric on Teichmüller space
Anna Lenzhen, Kasra Rafi, Jing Tao
Considering the Teichmüller space of a surface equipped with Thurston's Lipschitz metric, we study geodesic segments whose endpoints have bounded combinatorics. We show that these…