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 is its tropical moment. We give an explicit and efficiently computable formula for the tropical moment of a tropical Jacobian in terms of potential theory on the underlying metric graph. We show that there exists a universal linear relation between the tropical moment, a certain capacity called the tau invariant, and the total length of a metric graph. To put our formula in a broader context, we relate our work to the computation of heights attached to principally polarized abelian varieties.
Density of Binary Disc Packings: Lower and Upper Bounds
.
Generalized exponential distribution with interval-censored data and time dependent covariate
.
Robust computationally intensive and asymptotic tests for compound symmetry structure
.
A new approach to parameter estimation of mixture of two normal distributions
.
Gaussian copula joint models for mixed longitudinal zero-inflated count and continuous responses
.
Higher education teaching and exploitation of student evaluations through the use of control charts: revisited and expanded
.
Kernel ridge prediction method in partially linear mixed measurement error model
.
Modeling Fourier expansions using point processes on the complex plane with applications
.
Compound negative binomial multivariate correlated frailty model for long-term survivors
.