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math-ph2021★ 4 cited
Cluster expansions: Necessary and sufficient convergence conditions
Sabine Jansen, Leonid Kolesnikov
We prove a new convergence condition for the activity expansion of correlation functions in equilibrium statistical mechanics with possibly negative pair potentials. For non-negati…
math-ph2020
The Direct-Connectedness Function in the Random Connection Model
Sabine Jansen, Leonid Kolesnikov, Kilian Matzke
We investigate expansions for connectedness functions in the random connection model of continuum percolation in powers of the intensity. Precisely, we study the pair-connectedness…