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math.OC2026
Selective Adaptation of Beliefs and Communication on Cellular Sheaves
Vicente Bosca, Robert Ghrist
We extend opinion dynamics on discourse sheaves to incorporate "directional stubbornness": agents may hold fixed positions in specified directions of their opinion stalk while rema…
math.OC2024
Lattice-Valued Bottleneck Duality
Robert Ghrist, Julian Gould, Miguel Lopez
This note reformulates certain classical combinatorial duality theorems in the context of order lattices. For source-target networks, we generalize bottleneck path-cut and flow-cut…