2 papers
cond-mat.quant-gas2026
Fate of a Fractional Chern Insulator under Nonlocal Interactions in Synthetic Dimensions
Patrick Liam Geraghty, Alberto Nardin, Leonardo Mazza +1
Synthetic dimensions provide a powerful route to engineer topological lattice models in ultracold atomic systems, but they contain intrinsic nonlocal interactions along the synthet…
q-fin.ST2024
Modeling a Financial System with Memory via Fractional Calculus and Fractional Brownian Motion
Patrick Geraghty
Financial markets have long since been modeled using stochastic methods such as Brownian motion, and more recently, rough volatility models have been built using fractional Brownia…