Journal publications:
- G. V. Shchepan'uk "Representation for distribution functions and diagonal
elements of the reduced density matrix of charged particle systems by functional
Poisson integrals," Reports of the National Academy
of Sciences of Ukraine,
1995, no. 4, pp. 21-24.
- G. V. Shchepan'uk "Poisson fields and distribution functions in statistical
mechanics of charged particles," Ukrainian Mathematical
Journal 47, no. 5,
pp. 710-719, (1995).
- E. W. Lytvynov, A. L. Rebenko and G. V. Shchepan'uk "Wick theorems in
non-Gaussian white noise calculus," Reports on
Mathematical Physics 37,
no. 2, pp. 217-232
(1996).
- E. W. Lytvynov, A. L. Rebenko and G. V. Shchepan'uk "Wick calculus on spaces of
generalized functions of compound Poisson white noise,"
Reports on Mathematical
Physics
39, no. 2, pp. 219-248 (1997).
- A. L. Rebenko and G. V. Shchepan'uk "The convergence of cluster expansion for
continuous systems with many-body interaction," Journal of
Statistical Physics 88,
no. 3/4, pp. 665-689 (1997).
- Yu. G. Kondratiev, E. W. Lytvynov, A. L. Rebenko, M. Roeckner and
G. V. Shchepan'uk
"Euclidean Gibbs states for quantum systems with
Boltzmann statistics via cluster
expansions,"
Methods of Functional Analysis and Topology
3, no. 1, pp. 62-81 (1997).
- A. Yu. Babansky, E. V. Gorbar, G. V. Shchepanyuk "Chiral symmetry breaking
in the Nambu-Jona-Lasinio model in external constant electromagnetic field,"
Physics Letters B 419, pp. 272-278 (1998).
- Yu. G. Kondratiev, A. Yu. Konstantinov, M. Roeckner and G. V. Shchepan'uk
"Scattering
problem for a local perturbation of the free quantum gas,"
Communications in Mathematical
Physics
203, pp. 421-444, (1999).
- S. Albeverio, Yu. G. Kondratiev, R. A. Minlos and G. V. Shchepan'uk
"Ground state
Euclidean measures for quantum lattice systems with compact
spins," Reports on
Mathematical Physics
45, no. 3, pp. 419-429, (2000).
- S. Albeverio, Yu. G. Kondratiev, R. A. Minlos and G. V. Shchepan'uk
"Uniqueness
problem for quantum lattice systems with compact spins,"
Letters in Mathematical
Physics
52, no. 3, pp. 185-195 (2000).
- G. V. Shchepanyuk "About the property of decay of correlation for the family of quantities
admiting cluster expansion,"
Reports of the National Academy of Sciences of Ukraine,
2004, no. 4, pp. 32-36.
- G. V. Shchepanyuk "Improved estimates on the strong mixing coefficient of spacially
separated events for limiting Gibbs measures corresponding to equilibrium gaseous
states of continuous systems of classical statistical mechanics with stable exponentially
decreasing pair interaction," Reports of the National Academy of Sciences
of Ukraine,
2004, no. 6, pp. 36-39.
- G. V. Shchepanyuk "About the classical limit of Euclidean Gibbs measures
corresponding to the quantum continuous systems of point particles with Boltzmann
statistics," Reports of the National Academy of Sciences of Ukraine,
2005, no. 9, pp. 35-40.
- G. V. Shchepanyuk "On the exponential mixing property of the limiting Euclidean
Gibbs measures corresponding to the equilibrium state of quantum lattice systems of
compact spins with continuous interaction of the nearest-neighbours at the sufficiently
small mass of the constituent particles," Reports of the National
Academy of Sciences of
Ukraine, 2006, no. 5, pp. 30-34.
- G. V. Shchepanyuk "On the exponential mixing property for the family of quantities
that admit cluster expantions," Bulletin of Kiev University. Physics and Mathematics,
2010, no. 3, pp. 112-114.
- G. V. Shchepanyuk "Estimates on exponetial decay of correlations in equilibrium states
of classical continuous systems of point particles," Universal Journal of Physics and
Applications, 3, no. 1, pp. 17-23 (2015).