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Robust periodic solutions in multi-state cellular automata

Student-Run Applied & Math Seminar

Speaker: Xiaochen Liu, UC Davis
Related Webpage: https://www.math.ucdavis.edu/~xchliu/
Location: 2112 MSB
Start time: Fri, Sep 29 2017, 12:10PM

In this talk, we first provide the background of the robust periodic solutions of cellular automata. These are the analogy of stable limit cycles of ordinary differential equations. Our goal is to investigate the asymptotic probabilistic behaviour of the existence of such solutions in our system, the one-dimensional one-sided range-1 multi-state cellular automata. We precisely define the periodic solutions and the robust ones, namely, those advance into any environment with positive velocity. We also introduce the useful tools and theorems that help us transform the problem to random graph problems. Finally we present some current results and several conjectures.

This is joint work with Professor Gravner.



If you would like to help us estimate how much pizza to order you can RSVP at this link, even if you aren't sure you can make it: https://docs.google.com/spreadsheets/d/1wyOmPJvaqsSngBuIcjnN3vLAWeRFTyru47HFaT0wlMc/edit#gid=1252323571