2 papers
math.GR2015
Asymptotic Shapes for Ergodic Families of Metrics on Nilpotent Groups
Michael Cantrell, Alex Furman
Let Gamma be a finitely generated nilpotent group. We consider three closely related problems: (i) the asymptotic cone for an equivariant ergodic family of inner metrics on Gamma,…
math.GR2015
Differentiability Of Integrable Measurable Cocycles Between Nilpotent Groups
Michael Cantrell
We prove an analog for integrable measurable cocycles of Pansu's differentiation theorem for Lipschitz maps between Carnot-Carathéodory spaces. This yields an alternative, ergodic…