All Outputs (2)

The universal tropicalization and the Berkovich analytification (2022)
Journal Article
Giansiracusa, J., & Giansiracusa, N. (2022). The universal tropicalization and the Berkovich analytification. Kybernetika (Prague. On-line), 58(5), 790-815. https://doi.org/10.14736/kyb-2022-5-0790

Given an integral scheme X over a non-archimedean valued field k, we construct a universal closed embedding of X into a k-scheme equipped with a model over the field with one element F1 (a generalization of a toric variety). An embedding into such an... Read More about The universal tropicalization and the Berkovich analytification.

Quantitative analysis of phase transitions in two-dimensional XY models using persistent homology (2022)
Journal Article
Sale, N., Giansiracusa, J., & Lucini, B. (2022). Quantitative analysis of phase transitions in two-dimensional XY models using persistent homology. Physical Review E, 105(2), https://doi.org/10.1103/physreve.105.024121

We use persistent homology and persistence images as an observable of three different variants of the two-dimensional XY model in order to identify and study their phase transitions. We examine models with the classical XY action, a topological latti... Read More about Quantitative analysis of phase transitions in two-dimensional XY models using persistent homology.