5 papers
A Bifurcation Theory for the Equilibria of Modern Hopfield Networks
Vincenzo Maria Schimmenti, Matteo Ciarchi
Modern Hopfield networks provide a unifying framework for associative memory, transformer attention, diffusion-based generative models, and biological attractor dynamics, linking t…
Phase behavior of Cacio e Pepe sauce
Giacomo Bartolucci, Daniel Maria Busiello, Matteo Ciarchi +5
``Pasta alla Cacio e pepe'' is a traditional Italian dish made with pasta, pecorino cheese, and pepper. Despite its simple ingredient list, achieving the perfect texture and creami…
Flocking by Turning Away
Suchismita Das, Matteo Ciarchi, Ziqi Zhou +3
Flocking, as paradigmatically exemplified by birds, is the coherent collective motion of active agents. As originally conceived, flocking emerges through alignment interactions bet…
Clonal dynamics of surface-driven growing tissues
Ruslan Mukhamadiarov, Matteo Ciarchi, Fabrizio Olmeda +1
The self-organization of cells into complex tissues relies on a tight coordination of cell behavior. Identifying the cellular processes driving tissue growth is key to understandin…
Unraveling active baths through their hidden degrees of freedom
Daniel Maria Busiello, Matteo Ciarchi, Ivan Di Terlizzi
The dynamics of a probe particle is highly influenced by the nature of the bath in which it is immersed. In particular, baths composed by active (e.g., self-propelled) particles in…