Oscillator and Clock Synchronization

  1. Hanbaek Lyu, “Global synchronization of pulse-coupled oscillators on trees.” SIAM Journal on Applied Dynamical Systems 2018, Vol. 17, No. 2. (Journal, Preprint)
  2. Hanbaek Lyu, “Synchronization of finite-state pulse-coupled oscillators”, Physica D: Nonlinear Phenomena 303 (2015): 28-38. (Journal, Preprint)
  3. Hanbaek Lyu and David Sivakoff, “Synchronization of finite-state pulse-coupled oscillators on Z.” Submitted. Preprint (2017)
  4. Hanbaek Lyu, “Phase transition in firefly cellular automaton on finite trees.” Preprint (2016)

Solitons and Box-ball Systems

  1. Atsuo Kuniba, Hanbaek Lyu, and Masato Okado, “Randomized box-ball systems, limit shape of rigged configurations and Thermodynamic Bethe ansatz.” Nuclear Physics B (2018). (Journal, Preprint)
  2. Atsuo Kuniba and Hanbaek Lyu, “One-sided scaling limit of multicolor box-ball system”. Preprint (2018)
  3. Lionel Levine, Hanbaek Lyu, and John Pike, “Double jump phase transition in a soliton cellular automaton.” Submitted. Preprint (2017)

Interacting Particle Systems

  1. Matthew Junge and Hanbaek Lyu, “The phase structure in asymmetric ballistic annihilation.Preprint (2018)
  2. Michael Damron, Janko Gravner, Matthew Junge, Hanbaek Lyu, and David Sivakoff, “Parking on transitive unimodular graphs.” Annals of Applied Probability (to appear) Preprint (2018)
  3. Eric Foxall and Hanbaek Lyu, “Clustering in the three and four color cyclic particle systems in one dimension.” Journal of Statistical Physics (2018). (Journal, Preprint)

Persistence and Cellular Automata

  1. Hanbaek Lyu and David Sivakoff, “Persistence of sums of correlated increments and clustering in cellular automata.” Stochastic Processes and Applications (2018) . (Journal, Preprint)

Discrete Excitable Media

  1. Janko Gravner, Hanbaek Lyu, and David Sivakoff, “Limiting behavior of 3-color excitable media on arbitrary graphs.” Annals of Applied Probability, Volume 28, Number 6 (2018), 3324-3357. (Journal, Preprint)

Graph Theory

  1. Hanbaek Lyu, “Chromatic number, induced cycles, and non-separating cycles.” Submitted. Preprint (2016)

In  preparation

  1. Hanbaek Lyu, Facundo Memoli, and David Sivakoff, “Combinatorial profiles and hierarchical structures of networks.” In preparation
  2. Hanbaek Lyu, Pavlo Pylyavskyy, and Arnab Sen, “Multicolor box-ball system with random initial configuration.” In preparation

Undergraduate works

  1. Hanbaek Lyu, “A note on the graph characteristics and Hadwiger’s conjecture.” arXiv preprint arXiv:1203.3710 (2012)

Probability, combinatorics, and complex systems

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