5 citations · 7 across the 2 of their papers we have counts for
4 papers
Condensed Ricci Curvature of Complete and Strongly Regular Graphs
Vincent Bonini, Conor Carroll, Uyen Dinh +3
We study a modified notion of Ollivier's coarse Ricci curvature on graphs introduced by Lin, Lu, and Yau in [11]. We establish a rigidity theorem for complete graphs that shows a c…
The irrationality measure of as seen through the eyes of
Sully F. Chen, Erin P. J. Pearse
For different values of , analysis of the end behavior of the sequence yields a strong connection to the irrationality measure of . We show that…
Unbounded containment in the energy space of a network and the Krein extension of the energy Laplacian
Palle E. T. Jorgensen, Erin P. J. Pearse
We compare the space of square-summable functions on an infinite graph (denoted ) with the space of functions of finite energy (denoted ). The…
Self-similar fractals as boundaries of networks
Erin P. J. Pearse
For a given pcf self-similar fractal, a certain network (weighted graph) is constructed whose ideal boundary is (homeomorphic to) the fractal. This construction is the first repres…