15 citations · 20 across the 5 of their papers we have counts for
5 papers
Parallel geodesics and minimal stable length of random groups
Tsung-Hsuan Tsai
We show that for any pair of long enough parallel geodesics in a random group with generators at density , there is a van Kampen diagram having only one la…
Phase transition for the existence of van Kampen 2-complexes in random groups
Tsung-Hsuan Tsai
Gromov showed that (1993) with high probability, every bounded and reduced van Kampen diagram of a random group at density satisfies the isoperimetric inequality $|\partial…
Density of random subsets and applications to group theory
Tsung-Hsuan Tsai
Developing an idea of M. Gromov, we study the intersection formula for random subsets with density. The \textit{density} of a subset in a finite set is defined by $dens A :…
On the linearity of Regge trajectory at large transfer energy
Carlos Cardona, Yu-tin Huang, Tsung-Hsuan Tsai
In this note we consider the four-point function of identical scalar operators in its Mellin representation. For CFTs, taking the large scaling dimension limit of the Mellin amplit…
On Higgs Branch Localization of Seiberg-Witten Theories on Ellipsoid
Heng-Yu Chen, Tsung-Hsuan Tsai
In this note, we consider so-called "Higgs Branch Localization" for four dimensional N=2 field theories on 4d ellipsoid. We find a new set of saddle point equations arising from ad…