A tropical version of Nevanlinna theory describes value distribution of continuous piecewise linear functions of a real variable. In this paper, we present some results on value distribution theory of tropical difference polynomials and uniqueness theory of tropical entire functions. Application to some ultra-discrete equations is also given.
"Ultra-discrete equations and tropical counterparts of some complex analysis results." Kodai Math. J. 41 (2) 264 - 283, June 2018. https://doi.org/10.2996/kmj/1530496839