Develop a spectral theory for food quivers

Develop a spectral theory for food quivers—modeled as weighted directed graphs with mixing fractions on arrows and base compositions on vertices—and determine whether tools from spectral sheaf theory can predict convergence and limiting compositions of recursive food constructions.

Background

The paper frames recursive food constructions via a directed graph (the food quiver) and suggests that mixing fractions and base compositions endow the graph with algebraic structure reminiscent of cellular sheaves.

They explicitly pose whether spectral sheaf theory can inform convergence and limit behavior of such recursions.

References

Whether the tools of spectral sheaf theory have anything to say about recursive snacking is an open and, we believe, entertaining question.

— The $\infty$-Oreo$^{^\circledR}$  (2604.00435 - Bosca, 1 Apr 2026) in Section 6, Discussion