14 citations · 92 across the 50 of their papers we have counts for
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math.PR2016
Limiting behavior of 3-color excitable media on arbitrary graphs
Janko Gravner, Hanbaek Lyu, David Sivakoff
Fix a simple graph and choose a random initial 3-coloring of vertices drawn from a uniform product measure. The 3-color cycle cellular automaton is a process in which at…
math.CO2016
Time complexity of Synchronization of discrete pulse-coupled oscillators on trees
Hanbaek Lyu
A major open question in the study of synchronization of coupled oscillators is to find necessary and sufficient condition for a system to synchronize on a given family of graphs.…
math.OC2016
Global synchronization of pulse-coupled oscillators on trees
Hanbaek Lyu
Consider a distributed network on a finite simple graph with diameter and maximum degree , where each node has a phase oscillator revolving on $S^{1}=\mathbb{R}/\m…