MCMC sampling, networks, and machine learning

  1. Hanbaek Lyu, Facundo Memoli, and David Sivakoff, “Sampling random graph homomorphisms and applications to network data analysis.Preprint (2019)
  2. Hanbaek Lyu, Deanna Needell, and Laura Balzano, “Online matrix factorization for markovian data and applications to network dictionary learning.Preprint (2019)
  3. Y. Guo, N. Hanoian, Z. Lin, N. Liskij, H. Lyu, D. Needeell, J. Qu, H. Sojico, Y. Wang, Z. Xiong, and Z. Zou, “Topic-aware Chatbot Using Recurrent Neural Networks and Nonnegative Matrix Factorization.” Preprint (2019)

Contingency tables

  1. Sam Dittmer, Hanbaek Lyu, and Igor Pak, “Phase transition in random contingency tables with non-uniform margins.” To appear in Transactions of the AMS. Preprint (2019)

Cellular Automata and Interacting Particle Systems

  1. Matthew Junge and Hanbaek Lyu, “The phase structure in asymmetric ballistic annihilation.Preprint (2018)
  2. Eric Foxall and Hanbaek Lyu, “Clustering in the three and four color cyclic particle systems in one dimension.” Journal of Statistical Physics, , Volume 171, Issue 3, pp 470–483. (Journal, Preprint)
  3. Hanbaek Lyu and David Sivakoff, “Persistence of sums of correlated increments and clustering in cellular automata.” Stochastic Processes and Applications, Volume 129, Issue 4, April 2019, Pages 1132-1152 (Journal, Preprint)
  4. Michael Damron, Janko Gravner, Matthew Junge, Hanbaek Lyu, and David Sivakoff, “Parking on transitive unimodular graphs.” Annals of Applied Probability, Volume 29, Number 4 (2019), 2089-2113 (Journal, Preprint)
  5. 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)

Solitons and Box-ball Systems

  1. Joel Lewis, Hanbaek Lyu, Pavlo Pylyavskyy, and Arnab Sen, “Scaling limit of soliton lengths in a multicolor box-ball system.Preprint (2019)
  2. 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)
  3. Atsuo Kuniba and Hanbaek Lyu, “Large deviations and one-sided scaling limit of multicolor box-ball system”. To appear in Journal of Statistical Physics Preprint (2018)
  4. Lionel Levine, Hanbaek Lyu, and John Pike, “Double jump phase transition in a soliton cellular automaton.” Submitted. Preprint (2017)

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)

Graph Theory

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

In  preparation

  1. Michael Damron, Tobias Johnson, Matthew Junge, Hanbaek Lyu, and David Sivakoff, “Particle density in diffusion-limited annihilating systems.” In preperation.
  2. Sungwon Ahn, Jacob Richey, Lily Wang, Matthew Junge, Hanbaek Lyu, and David Sivakoff, “Phase transition in parking process with coalescing cars

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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