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- W3128473003 abstract "We introduce the notion of cumulants as applied to linear maps between associative (or commutative) algebras that are not compatible with the algebraic product structure. These cumulants have a close relationship with $$A_{infty }$$ and $$C_{infty }$$ morphisms, which are the classical homotopical tools for analyzing deformations of algebraically compatible linear maps. We look at these two different perspectives to understand how infinity-morphisms might inform our understanding of cumulants. We show that in the presence of an $$A_{infty }$$ or $$C_{infty }$$ morphism, the relevant cumulants are strongly homotopic to zero." @default.
- W3128473003 created "2021-02-15" @default.
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- W3128473003 date "2021-02-09" @default.
- W3128473003 modified "2023-09-25" @default.
- W3128473003 title "Homotopical perspective on statistical quantities" @default.
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- W3128473003 doi "https://doi.org/10.1007/s40062-020-00273-1" @default.
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