On multidimensional scaling
Gustavo Didier, Tulane University
Scaling relationships have been found in a wide range of phenomena that includes coastal landscapes, hydrodynamic turbulence, the metabolic rates of animals and Internet traffic. In this talk, we will look into the so-named paradigm of scale invariance, which has been applied in the analysis of systems where no characteristic scale is present. Under scale invariance, a continuum of time scales contributes to the observed dynamics, and the analyst's focus is on identifying mechanisms that relate the scales, often in the form of scaling exponents. We will dedicate special attention to the role played by wavelets in the analysis of self-similar stochastic processes and visit recent contributions to the modeling of multidimensional scaling systems. This is joint work with Patrice Abry (CNRS and ENS-Lyon).
Refreshments at 3:45pm in Snedecor 2101.