3 papers
cs.DM2026
Size-varying reversible causal graph dynamics
Pablo Arrighi, Amélia Durbec, Aurélien Emmanuel
Consider a network that evolves according to a reversible, nearest neighbours dynamics. Is the dynamics allowed to vary the size of the network? On the one hand it seems that, bein…
cs.DM2026
Graph subshifts
Pablo Arrighi, Amélia Durbec, Pierre Guillon
We propose a definition of graph subshifts of finite type that can be seen as extending both the notions of subshifts of finite type from classical symbolic dynamics and finitely p…
quant-ph2024
Quantum networks theory
Pablo Arrighi, Amélia Durbec, Matt Wilson
The formalism of quantum theory over discrete systems is extended in two significant ways. First, quantum evolutions are generalized to act over entire network configurations, so t…