4 papers
Gaussian fluctuations for Internal DLA on cylinders
Ahmed Bou-Rabee, Vittoria Silvestri, Ariel Yadin
Internal DLA is a discrete random growth model describing growing clusters of particles. Its limiting shape and fluctuations are well understood when the underlying graph is the $d…
Groups with a finite Busemann boundary are virtually cyclic
Corentin Bodart, Liran Ron-George, Ariel Yadin
This note is a continuation of the study of the relationship between the geometry of Cayley graphs and the size of its metric-functional boundary. We show that, if there exists a C…
Detecting virtual homomorphisms via Banach metrics
Liran Ron-George, Ariel Yadin
We introduce the notion of "Banach metrics" on finitely generated infinite groups. This extends the notion of a Cayley graph (as a metric space). Our motivation comes from trying t…
Completely Syndetic Sets in Discrete Groups
Guy Salomon, Yotam Svoray, Ariel Yadin
We study completely syndetic (CS) sets in discrete groups - subsets that for every natural n admit finitely many left translates that jointly cover every n-tuple of group elements.…