We develop a dynamic investment options framework with optimal capital structure and analyze the effect of debt maturity. We find that in the absence of financing constraints short-term debt maximizes firm value. In contrast with most literature results, in the absence of constraints, higher...

The main techniques used for the spatial analysis of Urban Crime can generally be traced to crime mapping techniques, which are mere representations of crime dispersion over a specific urban area without any statistical modeling of its correlation with the urban structure of the city or any...

We consider the 2D critical Ising model with spatially periodic boundary conditions. It is shown that for a suitable reparameterization of the known Boltzmann weights the transfer matrix becomes a polynomial in the variable csc(4u), u being the spectral parameter. The coefficients of this...

We investigate the motion of pedestrians through obscure corridors where the lack of visibility (due to smoke, fog, darkness, etc.) hides the precise position of the exits. We focus our attention on a set of basic mechanisms, which we assume to be governing the dynamics at the individual level....

We develop a dynamic investment options model with optimal capital structure and evaluate the effect of time-to-build on firm value and leverage choices. With time-to-build the firm increases initial leverage in order to reduce the impact of delayed cash flows resulting from time-to-build. The...

We review critically the concepts and the applications of Cayley Trees and Bethe Lattices in statistical mechanics in a tentative effort to remove widespread misuse of these simple, but yet important–and different–ideal graphs. We illustrate, in particular, two rigorous techniques to deal...

Diversity patterns of tree species in a tropical forest community are approached by a simple lattice model and investigated by Monte Carlo simulations using a backtracking method. Our spatially explicit neutral model is based on a simple statistical physics process, namely the diffusion of...