activity
20182021
most citedGâteaux differentiability on infinite-dimensional Carnot groups

2 citations · 2 across the 3 of their papers we have counts for

collaborators

6 papers

cs.LG2021

Beyond Low-Pass Filters: Adaptive Feature Propagation on Graphs

Sean Li, Dongwoo Kim, Qing Wang

Graph neural networks (GNNs) have been extensively studied for prediction tasks on graphs. As pointed out by recent studies, most GNNs assume local homophily, i.e., strong similari…

math.MG2020

The strong geometric lemma for intrinsic Lipschitz graphs in Heisenberg groups

Vasileios Chousionis, Sean Li, Robert Young

We show that the --numbers of intrinsic Lipschitz graphs of Heisenberg groups are locally Carleson integrable when . Our technique relies on a recent Do…

math.CA2020

Singular integrals on regular curves in Carnot groups

Vasileios Chousionis, Sean Li, Scott Zimmerman

Let be any Carnot group. We prove that if a convolution type singular integral associated with a -dimensional Calderón-Zygmund kernel is -bounded on horizontal…

math.MG2018

Bi-Lipschitz embeddings of Heisenberg submanifolds into Euclidean spaces

Vasileios Chousionis, Sean Li, Vyron Vellis +1

The Heisenberg group equipped with a sub-Riemannian metric is one of the most well known examples of a doubling metric space which does not admit a bi-Lipschitz embedd…

math.FA20182 cited

Gâteaux differentiability on infinite-dimensional Carnot groups

Enrico Le Donne, Sean Li, Terhi Moisala

This paper contributes to the generalization of Rademacher's differentiability result for Lipschitz functions when the domain is infinite dimensional and has nonabelian group struc…

math.MG2018

The Traveling Salesman Theorem in Carnot Groups

Vasileios Chousionis, Sean Li, Scott Zimmerman

Let be any Carnot group. We prove that, if a subset of is contained in a rectifiable curve, then it satisfies Peter Jones' geometric lemma with some natur…