Las Jarretaderas, Nayarit, Mexico: a Social Interstice in Touristic Zona Metropolitana of Sun and Sand

The objective of the present article is to illustrate the social interstice (Las Jarretaderas) existing between the municipalities Bahía de Banderas, Nayarit and Puerto Vallarta, Jalisco. The researched community is an outstanding case-study providing an in-depth analysis of a number of social process mostly related to the chiapaneca migration. The text is divided into two sections. The first one deals with the urbanization process of the metropolitan area of Puerto Vallarta. The second and longer section defines the concept of social interstice and explains how the researched locality falls under under that previously-defined concept according to the processes analyzed.

Branching random motions, nonlinear hyperbolic systems and traveling waves

A branching random motion on a line, with abrupt changes of direction, is studied. The branching mechanism, being independient of random motion, and intensities of reverses are defined by a particle's current direction. A soluton of a certain hyperbolic system of coupled non-linear equations (Kolmogorov type backward equation) have a so-called McKean representation via such processes. Commonly this system possesses traveling-wave solutions. The convergence of solutions with Heaviside terminal data to the travelling waves is discussed.This Paper realizes the McKean programme for the Kolmogorov-Petrovskii-Piskunov equation in this case. The Feynman-Kac formula plays a key role.