On polymer expansions for generalized Gibbs lattice systems of oscillators with ternary interaction
We propose a new short proof of the convergence of high-temperature polymer expansions in the thermodynamic limit of canonical correlation functions for classical and quantum Gibbs lattice systems of oscillators interacting via pair and ternary potentials and nonequilibrium stochastic systems of oscillators interacting via a pair potential with Gibbsian initial correlation functions.
English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 5, pp 760-770.
Citation Example: Skrypnik W. I. On polymer expansions for generalized Gibbs lattice systems of oscillators with ternary interaction // Ukr. Mat. Zh. - 2013. - 65, № 5. - pp. 689–697.