The Kato-Nakayama space as a transcendental root stack
  We give a functorial description of the Kato-Nakayama space of a fine saturated log analytic space that is similar in spirit to the functorial description of root stacks. As a consequence we get a global description of the comparison map constructed in arXiv:1511.00037 from the Kato-Nakayama space to the (topological) infinite root stack. 
Mattia Talpo and Angelo Vistoli
math.AG