3 papers
math.GR2023
Ulam stability of lamplighters and Thompson groups
Francesco Fournier-Facio, Bharatram Rangarajan
We show that a large family of groups is uniformly stable relative to unitary groups equipped with submultiplicative norms, such as the operator, Frobenius, and Schatten -norms.…
math.GR2023
Asymptotic Cohomology and Uniform Stability for Lattices in Semisimple Groups
Lev Glebsky, Alexander Lubotzky, Nicolas Monod +1
It is, by now, classical that lattices in higher rank semisimple groups have various rigidity properties. In this work, we add another such rigidity property to the list: uniform s…
math.CO2017
A combinatorial proof of Bass's determinant formula for the zeta function of regular graphs
Bharatram Rangarajan
We give an elementary combinatorial proof of Bass's determinant formula for the zeta function of a finite regular graph. This is done by expressing the number of non-backtracking c…