Browsing by Author "Moreno Flores, Gregorio R."

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    One-dimensional Discrete Anderson Model in a Decaying Random Potential: from AC Spectrum to Dynamical Localization
    (wiley, 2020) Bourget Olivier Christian Francois; Moreno Flores, Gregorio R.; Taarabt, Amal
    The complexity in the evolution of metropolitan areas has transformed urban structures from classical monocentric models to new models based on the polycentric paradigm. This phenomenon has been approached in the case of the Metropolitan Area of Santiago, through the analysis of commercial density and land price data, applying parametric modeling in the analysis. The results indicate an evolution towards a polycentric urban structure that coexists with some remaining traits of the monocentric structure. Nineteen candidates for commercial sub-centers were identified evaluated and classified through the use of variables complementary to commercial land use density, such as mobility indicators. In addition, the use of the commercial land use variable was validated, and the negative exponential function model was found to be the best-formula for parametric adjustment in the case of the Metropolitan Area of Santiago.
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    Scaling limit of stationary coupled Sasamoto-Spohn models
    (2022) Butelmann, Ian; Moreno Flores, Gregorio R.
    We introduce a family of stationary coupled Sasamoto-Spohn models and show that, in the weakly asymmetric regime, they converge to the energy solution of coupled Burgers equations. Moreover, we show that any system of coupled Burgers equations satisfying the so-called trilinear condition ensuring stationarity can be obtained as the scaling limit of a suitable system of coupled Sasamoto-Spohn models.