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math-ph2020
Revisiting Groeneveld's approach to the virial expansion
Sabine Jansen
A generalized version of Groeneveld's convergence criterion for the virial expansion and generating functionals for weighted -connected graphs is proven. The criterion works for…
math-ph2020
Lagrange inversion and combinatorial species with uncountable color palette
Sabine Jansen, Tobias Kuna, Dimitrios Tsagkarogiannis
We prove a multivariate Lagrange-Good formula for functionals of uncountably many variables and investigate its relation with inversion formulas using trees. We clarify the cancell…