article published yes Nikita Kalinin author Mikhail Shkolnikov author 35084A62-F248-11E8-B48F-1D18A9856A870000-0002-4310-178X TaHa department The theory of tropical series, that we develop here, firstly appeared in the study of the growth of pluriharmonic functions. Motivated by waves in sandpile models we introduce a dynamic on the set of tropical series, and it is experimentally observed that this dynamic obeys a power law. So, this paper serves as a compilation of results we need for other articles and also introduces several objects interesting by themselves. AIMS2018 eng 1706.03062 00043881840000710.3934/dcds.2018120 3862827 - 2849 Kalinin N, Shkolnikov M. 2018. Introduction to tropical series and wave dynamic on them. Discrete and Continuous Dynamical Systems- Series A. 38(6), 2827–2849. N. Kalinin, M. Shkolnikov, Discrete and Continuous Dynamical Systems- Series A 38 (2018) 2827–2849. Kalinin, N., &#38; Shkolnikov, M. (2018). Introduction to tropical series and wave dynamic on them. <i>Discrete and Continuous Dynamical Systems- Series A</i>. AIMS. <a href="https://doi.org/10.3934/dcds.2018120">https://doi.org/10.3934/dcds.2018120</a> Kalinin, Nikita, and Mikhail Shkolnikov. “Introduction to Tropical Series and Wave Dynamic on Them.” <i>Discrete and Continuous Dynamical Systems- Series A</i>. AIMS, 2018. <a href="https://doi.org/10.3934/dcds.2018120">https://doi.org/10.3934/dcds.2018120</a>. N. Kalinin and M. Shkolnikov, “Introduction to tropical series and wave dynamic on them,” <i>Discrete and Continuous Dynamical Systems- Series A</i>, vol. 38, no. 6. AIMS, pp. 2827–2849, 2018. Kalinin, Nikita, and Mikhail Shkolnikov. “Introduction to Tropical Series and Wave Dynamic on Them.” <i>Discrete and Continuous Dynamical Systems- Series A</i>, vol. 38, no. 6, AIMS, 2018, pp. 2827–49, doi:<a href="https://doi.org/10.3934/dcds.2018120">10.3934/dcds.2018120</a>. Kalinin N, Shkolnikov M. Introduction to tropical series and wave dynamic on them. <i>Discrete and Continuous Dynamical Systems- Series A</i>. 2018;38(6):2827-2849. doi:<a href="https://doi.org/10.3934/dcds.2018120">10.3934/dcds.2018120</a> 3032018-12-11T11:45:43Z2023-09-12T07:45:37Z