24 citations · 71 across the 19 of their papers we have counts for
4 papers · 1 filter
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…