109 citations · 289 across the 23 of their papers we have counts for
5 papers · 1 filter
Tropical moments of tropical Jacobians
Robin de Jong, Farbod Shokrieh
Each metric graph has canonically associated to it a polarized real torus called its tropical Jacobian. A fundamental real-valued invariant associated to each polarized real torus…
Metric graphs, cross ratios, and Rayleigh's laws
Robin de Jong, Farbod Shokrieh
We study a notion of cross ratios on metric graphs and electrical networks. We show that several known results immediately follow from the basic properties of cross ratios. We show…
Faltings height and Néron-Tate height of a theta divisor
Robin de Jong, Farbod Shokrieh
We prove a formula, which, given a principally polarized abelian variety over the field of algebraic numbers, relates the stable Faltings height of with the Néron--Tate…
Cosmology of gravity
Sante Carloni, João Luís Rosa, José P. S. Lemos
Using dynamical system analysis, we explore the cosmology of theories of order up to eight order of the form . The phase space of these cosmology reveals that higher-…
Effective divisor classes on metric graphs
Andreas Gross, Farbod Shokrieh, Lilla Tóthmérész
We introduce the notion of semibreak divisors on metric graphs (tropical curves) and prove that every effective divisor class (of degree at most the genus) has a semibreak divisor…