13 citations · 44 across the 18 of their papers we have counts for
23 papers
Rigidity of compact rank one symmetric spaces
Chris Connell, Mitul Islam, Thang Nguyen +1
We consider rigidity properties of compact symmetric spaces with metric of rank one. Suppose is another Riemannian metric on with sectional curvature bounded…
Boundary actions of lattices and local semi-rigidity
Chris Connell, Mitul Islam, Thang Nguyen +1
We consider actions of cocompact lattices in semisimple Lie groups of the noncompact type on their boundaries , a parabolic group, the so-called standard actions. We show…
The natural flow and the critical exponent
Chris Connell, D. B. McReynolds, Shi Wang
Inspired by work of Besson-Courtois-Gallot, we construct a flow called the natural flow on a non-positively curved Riemannian manifold . As with the natural map, the -Jacobia…
Carnot metrics, Dynamics and Local Rigidity
Chris Connell, Thang Nguyen, Ralf Spatzier
This paper develops new techniques for studying smooth dynamical systems in the presence of a \CC metric. Principally, we employ the theory of Margulis-Mostow, Métivier, Mitchell a…
DynACPD Embedding Algorithm for Prediction Tasks in Dynamic Networks
Chris Connell, Yang Wang
Classical network embeddings create a low dimensional representation of the learned relationships between features across nodes. Such embeddings are important for tasks such as lin…
Homological norms on nonpositively curved manifolds
Chris Connell, Shi Wang
We relate the Gromov norm on homology classes to the harmonic norm on the dual cohomology and obtain double sided bounds in terms of the volume and other geometric quantities of th…