SAM-3.0 derives canonical cumulants from grand-canonical joint cumulants via a closed recursion with multivariate partial exponential Bell polynomials for arbitrary numbers of conserved charges and observables.
Multivariate Bell Polynomials and Derivatives of Composed Functions
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
How do we take repeated derivatives of composed multivariate functions? for one-dimensional functions, the common tools consist of the Fa\'a di Bruno formula with Bell polynomials; while there are extensions of the Fa\'a di Bruno formula, there are no corresponding Bell polynomials. In this paper, we generalize the single-variable Bell polynomials to take vector-valued arguments indexed by multi-indices which we use to rewrite the Fa\'a di Bruno formula to find derivatives of $\textbf{f}(\textbf{g}(\textbf{x}))$.
fields
hep-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Subensemble Acceptance Method 3.0: General Corrections to Cumulants from Exact Conservation Constraints
SAM-3.0 derives canonical cumulants from grand-canonical joint cumulants via a closed recursion with multivariate partial exponential Bell polynomials for arbitrary numbers of conserved charges and observables.