Outputs (2)

A general framework for tropical differential equations (2023)
Journal Article
Giansiracusa, J., & Mereta, S. (2024). A general framework for tropical differential equations. manuscripta mathematica, 173(3-4), 1273-1304. https://doi.org/10.1007/s00229-023-01492-5

We construct a general framework for tropical differential equations based on idempotent semirings and an idempotent version of differential algebra. Over a differential ring equipped with a non-archimedean norm enhanced with additional differential... Read More about A general framework for tropical differential equations.

Probing center vortices and deconfinement in SU(2) lattice gauge theory with persistent homology (2023)
Journal Article
Sale, N., Lucini, B., & Giansiracusa, J. (2023). Probing center vortices and deconfinement in SU(2) lattice gauge theory with persistent homology. Physical Review D, 107(3), Article 034501. https://doi.org/10.1103/physrevd.107.034501

We investigate the use of persistent homology, a tool from topological data analysis, as a means to detect and quantitatively describe center vortices in SU(2) lattice gauge theory in a gaugeinvariant manner. We provide evidence for the sensitivity o... Read More about Probing center vortices and deconfinement in SU(2) lattice gauge theory with persistent homology.