Ricerc@Sapienza

La prospettiva e le proposte dell'economia femminista sono totalmente in contrasto con l’economia che attualmente sostiene un sistema capitalistico etero patriarcale, predatore della natura e sfruttatore di vite umane, nonché generatore di disuguaglianze multiple.

We aim to find new results in Probability, Analysis and Statistics concerning motions on regular and irregular domains with reflection on regular and irregular regions of the domains. By reflection we mean elastic (Robin), slow (sticky) and skew (transmission) reflection. By “irregular domain” we mean “fractal domain” and “domain with fractal boundary or fractal interface”. Our analysis includes the connections between fractional dimension (irregular domains) and fractional calculus, that is equations involving fractional (or non-local) operators.

Special attention will be given to investigating the geometry of band-limited spherical random fields in the high-energy (high-frequency) limit; this covers both the case of random Laplace eigenfunctions and wavelet/needlet components of random fields, of great interest for cosmological data analysis.

The research builds on the theory of grey Brownian motion, introduced in the 1990s as a generalization of classical Brownian motion to describe anomalous diffusion phenomena through fractional equations and Mittag-Leffler-type distributions. The goal is to transfer these ideas to the spherical setting, where real-world data, from cosmology (cosmic microwave background radiation) to climatology and geophysics, show significant deviations from Gaussianity, often related to long-range correlations or non-standard distributions.

One of the aims of our research consists in the definition of non-gaussian noises different from the one related to Mittag-Leffler functions. Based on this, infinitely dimensional measures (on the Schwartz functions space) can be constructed, which reduce, as special case, to the white noise measure.  A further step in the research project can be represented by the generalization of the fractional operator used in the Mandelbrot-van Ness representation of the fractional Brownian motion (and therefore also in the definition of the grey Brownian motion).

Il gruppo di ricerca riunisce competenze multidisciplinari in statistica economica, econometria e policy evaluation. L’obiettivo del gruppo è sviluppare e applicare metodologie avanzate per l’analisi dei fenomeni economici, sociali e territoriali, con particolare attenzione ai problemi emergenti e alle sfide poste dal contesto contemporaneo.