123 citations · 651 across the 93 of their papers we have counts for
5 papers · 1 filter
Lipschitz harmonic functions on vertex-transitive graphs
Gideon Amir, Guy Blachar, Maria Gerasimova +1
We prove that every locally finite vertex-transitive graph admits a non-constant Lipschitz harmonic function.
The number of tiles of
Itai Benjamini, Gady Kozma, Elad Tzalik
It is proved that the number of subsets of that tile is .
Two comments on balls in vertex transitive graphs
Itai Benjamini, Gady Kozma
We observe that a ball of radius in the grandfather graph can not be realized as a ball of radius in a finite vertex transitive graph. We remark on when a ball in a finite…
Discrete curvature and abelian groups
Bo'az Klartag, Gady Kozma, Peter Ralli +1
We study a natural discrete Bochner-type inequality on graphs, and explore its merit as a notion of curvature in discrete spaces. An appealing feature of this discrete version seem…
The minimal spanning tree and the upper box dimension
Gady Kozma, Zvi Lotker, Gideon Stupp
We show that the alpha-weight of an MST over n points in a metric space with upper box dimension d has a bound independent of n if alpha is smaller than d and does not have one if…