The Abel Jacobi map for Mumford Curves via Integration
  We construct the Abel-Jacobi map for Mumford curves over any complete non-archimedean field, using multiplicative integrals and in the setting of Berkovich analytic geometry. Along the way, we proof some results concerning graphs and mesures related to tropical geometry. 
Iago Gin\'e and Xavier Xarles
math.AG math.NT