- Hanbaek Lyu, “Global synchronization of pulse-coupled oscillators on trees.” SIAM Journal on Applied Dynamical Systems (to appear) arXiv:1604.08381
- Janko Gravner, Hanbaek Lyu, and David Sivakoff, “Limiting behavior of 3-color excitable media on arbitrary graphs.” Annals of Applied Probability (to appear) arXiv:1610.07320
- Hanbaek Lyu, “Synchronization of finite-state pulse-coupled oscillators.“, Physica D: Nonlinear Phenomena 303 (2015): 28-38. arXiv:1407.1103
- Hanbaek Lyu and David Sivakoff, “Persistence of sums of correlated increments and clustering in cellular automata.” Submitted. arXiv.org/1706.08117 (2017)
- Lionel Levine, Hanbaek Lyu, and John Pike, “Phase transition in a random soliton cellular automaton.” arXiv.org/1706.05621 (2017)
- Hanbaek Lyu and David Sivakoff, “Synchronization of finite-state pulse-coupled oscillators on Z.” Submitted. arXiv.org:1701.00319 (2017)
- Hanbaek Lyu, “Phase transition in firefly cellular automaton on finite trees.” arXiv:1610.00837 (2016)
- Hanbaek Lyu, “Chromatic number, induced cycles, and non-separating cycles.” Submitted. arxiv:1211.0627 (2016)
- Hanbaek Lyu, Facundo Memoli, and David Sivakoff, “Combinatorial profiles of networks.” In preperation.
- Micheal Damron, Janko Gravner, Matthew Junge, Hanbaek Lyu, and David Sivakoff, “Parking on transitive unimodular graphs.” In preperation.
- Hanbaek Lyu, “A note on the graph characteristics and Hadwiger’s conjecture.” arXiv preprint arXiv:1203.3710 (2012)