“…Tropical mathematics has found many applications in both pure and applied areas, as documented by a growing number of monographs on its interactions with various other areas of mathematics: algebraic geometry [Baker and Payne 2016;Gross 2011;Huh 2018;Maclagan and Sturmfels 2015], discrete event systems [Baccelli et al 1992;Butkovič 2010], large deviations and calculus of variations [Kolokoltsov and Maslov 1997;Puhalskii 2001], and combinatorial optimization [Joswig ≥ 2020]. At the same time, new applications are emerging in phylogenetics [Monod et al 2018;Yoshida et al 2019;Page et al 2020], statistics [Hook 2017], economics [Baldwin and Klemperer 2019;Crowell and Tran 2016;Elsner and van den Driessche 2004;Gursoy et al 2013;Joswig 2017;Shiozawa 2015;Tran 2013;Tran and Yu 2019], game theory, and complexity theory [Allamigeon et al 2018;Akian et al 2012]. There is a growing need for a systematic study of probability distributions in tropical settings.…”