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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.CT2025
Simplicial effects and weakly associative partial groups
Cihan Okay, Victor Castillo, Walker H. Stern
In this paper, we introduce a new category of simplicial effects that extends the categories of effect algebras and their multi-object counterpart, effect algebroids. Our approach…