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math.CT2026
Possibilistic collapse and extremality of simplicial distributions
Aziz Kharoof, Cihan Okay
Consistent families of locally defined probability distributions that do not admit a joint global distribution are known as contextual, with primary examples arising in quantum the…
math.CO2026
Vertex structure of fiber products of probability polytopes
Aziz Kharoof, Cihan Okay
We develop tools for characterizing vertices of fiber products of polytopes and apply them to simplicial distribution polytopes, a class of probability polytopes arising in quantum…