35 citations · 155 across the 19 of their papers we have counts for
12 papers · 1 filter
Cluster expansions, trees, inversions and correlations
Dimitrios Tsagkarogiannis
We review some recent progress on applications of Cluster Expansions. We focus on a system of classical particles living in a continuous medium and interacting via a stable and tem…
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…
Virial inversion and density functionals
Sabine Jansen, Tobias Kuna, Dimitrios Tsagkarogiannis
We prove a novel inversion theorem for functionals given as power series in infinite-dimensional spaces and apply it to the inversion of the density-activity relation for inhomogen…
Cluster expansions with renormalized activities and applications to colloids
Sabine Jansen, Dimitrios Tsagkarogiannis
We consider a binary system of small and large objects in the continuous space interacting via a non-negative potential. By integrating over the small objects, the effective intera…
Convergence of density expansions of correlation functions and the Ornstein-Zernike equation
Tobias Kuna, Dimitrios Tsagkarogiannis
We prove convergence of the multi-body correlation function as a power series in the density. We work in the context of the cluster expansion in the canonical ensemble and we obtai…
Large deviations for the macroscopic motion of an interface
P. Birmpa, N. Dirr, D. Tsagkarogiannis
We study the most probable way an interface moves on a macroscopic scale from an initial to a final position within a fixed time in the context of large deviations for a stochastic…