**Research** # Research Interests I am intrigued by qualitative studies of nonlinear evolution equations that occur in life sciences, with a focus on understanding the global and dynamical structure of solutions. Moreover, I am currently exploring the interplay between dynamical systems and machine learning. If you are a UIS student who shares similar interests in either or both of these areas, please do not hesitate to contact me for potential research opportunities.
# Selected Publications and Preprints # Selected Conferences and Talks By the common mathematics/theoretical computer science convention, authors are ordered *alphabetically* by last names. # Conference Publications (Supervised students are underlined.)
  1. Xiang Huang and Rachel Huls . [Computing Real Numbers with Large-Population Protocols Having a Continuum of Equilibria.](https://arxiv.org/abs/2206.06594) The 28th International Conference on DNA Computing and Molecular Programming (DNA 28, Albuquerque, NM, Aug 8-12, 2022).
  2. L. Kong, Y. Guo, S. Siuly, Forecasting the Prevalence of COVID-19 Using Epidemic Differential Equations and Recurrent Neural Network. ()
  3. Xiang Huang, Jack H. Lutz, Elvira Mayordomo, and Donald M. Stull, Asymptotic divergences and strong dichotomy, Proceedings of the Thirty-seventh Symposium on Theoretical Aspects of Computer Science (STACS 2020, Montpellier, France, March 10-13, 2020) [Journal Version](../mypapers/ADSD-TIT.pdf)
  4. Xiang Huang, Jack H. Lutz, and Andrei N. Migunov. [Algorithmic Randomness in Continuous-Time Markov Chains](https://arxiv.org/abs/1910.13620), 2019. In Proceedings of the 57th Annual Allerton Conference on Communication, Control, and Computing.
  5. Xiang Huang, Titus H. Klinge, James I. Lathrop. [Real-Time Equivalence of Chemical Reaction Networks and Analog Computers.](../mypapers/RTCRN2.pdf) In: Thachuk C., Liu Y. (eds) DNA Computing and Molecular Programming. DNA 2019. Lecture Notes in Computer Science, vol 11648. Springer, Cham.
  6. Xiang Huang, Titus H. Klinge, James I. Lathrop, Xiaoyuan Li, and Jack H. Lutz. Real-Time Computability of Real Numbers by Chemical Reaction Networks. In Proceedings of the 16th International Conference on Unconventional Computation and Natural Computation (UCNC), June 2017, pp. 29-40. [Journal Version](../mypapers/RTCRN1.pdf)
  7. Xiang Huang and Donald. M. Stull. [Polynomial Space Randomness in Analysis.](../mypapers/PSRA.pdf) In Proceedings of the 41st International Symposium on Mathematical Foundations of Computer Science (MFCS), August 2016:86:1-86:13.
# PhD Thesis * [Chemical reaction networks: Computability, complexity, and randomness.](https://lib.dr.iastate.edu/cgi/viewcontent.cgi?article=9335&context=etd) Iowa State University, 2020.