We present recent results on the local in time well-posedness of stochastic thin-film equations driven by Gaussian noise, which is white in time and colored in space, with strictly positive initial da...
I plan to give a rather detailed account of some of the ideas and techniques behind recent results showing that fibered CY varieties are bounded, starting from the elliptic case and then moving to the...
In various physical settings where relativistic effects cannot be neglected, the Dirac operator naturally replaces the Schrödinger operator, introducing additional spectral challenges. As a result, th...
We study the adiabatic response of open systems governed by Lindblad evolutions (or Gorini-Kossakowski-Sudarshan) and hence affected by some form of friction. In particular, we present the analog of t...
Persistent homology, a popular method in Topological Data Analysis, encodes geometric information of data into algebraic objects called persistence modules. Invoking a decomposition theorem, these alg...
Biololysm: Toward Digital Twin Approach for Complex In Vitro Models - Digital Twin for Advanced Biological System Modelling: Integrating In Silico and Organs-on-Chip Approaches - what biologists can a...
Si discute la rilevanza dei modelli, i dati ed i metodi dell'intelligenza artificiale nei problemi di previsioni ed inferenza in fisica. Le principali difficoltà nella trattazione di tali problemi son...
Start of Winter School on Statistical Mechanics, Nonequilibrium Processes and Probability, which will take place February 17-28, 2025. All information available at https://sites.google.com/view/winter...
Uno dei problemi fondamentali della meccanica è descrivere matematicamente i moti, per esempio il moto planetario o delle particelle in un fluido. A parte esempi specialissimi però, non ci si può aspe...
