4 papers
Quantum-Geometric Bound on Dynamical Instability in Bosonic Systems
A. M. Tishin
Quantum-geometric speed and dynamical instability are two natural rates for a driven quantum system, and their relation is unsettled even for exactly solvable dynamics. Here we sho…
Neural Point-Forms
Bruno Trentini, Jacob Hume, Vincenzo Antonio Isoldi +3
Point cloud learning often rests on the premise that observed samples are noisy traces of an underlying geometric object, such as a manifold embedded in a high-dimensional feature…
Interval-sphere model structures
Kathryn Hess, Samuel Lavenir, Kelly Maggs
The bedrock of persistence theory over a single parameter is decomposition of persistence modules into intervals. In [HLM24], the authors leveraged interval decomposition to produc…
Cell decompositions of persistent minimal models
Kathryn Hess, Samuel Lavenir, Kelly Maggs
In this article we generalize the main structure theorems of rational homotopy theory to the persistent setting. Our main motivation is the computation of an explicit finite, cellu…