Apportionment and Contribution of Workers\u27 Compensation Benefits

The apportionment of benefits between a claimant and a carrier and contribution of benefits between multiple carriers has been a confusing area of law which has generated conflicting appellate court opinions. This article will explore the differences between Florida Statutes sec. 44012(5)(a) in sec. 440.42(3). After discussing the differences, this article will then focus on the multiple applications of sec. 440.42(3), the section dealing with the contribution of responsibility between carriers

A note on a curious formula for Euler's constant

In this short note we will use the residue theorem to establish a formula for Euler's constant. In particular, we offer a slightly generalized version of an interesting infinite series due to Flajolet, Gourdon, and Dumas.Comment: 4 page

Continuum AB percolation and AB random geometric graphs

Consider a bipartite random geometric graph on the union of two independent homogeneous Poisson point processes in $d$-space, with distance parameter $r$ and intensities $\lambda,\mu$. We show for $d \geq 2$ that if $\lambda$ is supercritical for the one-type random geometric graph with distance parameter $2r$, there exists $\mu$ such that $(\lambda,\mu)$ is supercritical (this was previously known for $d=2$). For $d=2$ we also consider the restriction of this graph to points in the unit square. Taking $\mu = \tau \lambda$ for fixed $\tau$, we give a strong law of large numbers as $\lambda \to \infty$, for the connectivity threshold of this graph