Alexei L. REBENKO

Chief Researcher of the department of Mathematical Physics, Professor
Institute of Mathematics of National Academy of Sciences, Kiev, Ukraine


















                                                   
Books and big surveys

  • Coefficient function equations of the scattering  matrix. (with S.S.Ivanov, D..Ya. Petrina). Moscow, "Nauka", 1979, 269 p.(in Russian).
  • The foundation of modern theory of interacting quantum fields. Kyiv, "Naukova dumka", 2007, 538 p. (in Ukranian). 
  • Theory of  Interacting Quantum Fields, Monograph, De Gruyter Studies in Mathematics 39, (2012),  584 p.

  • S- matrix in constructive quantum field theory (with S.S.Ivanov and D.Ya. Petrina), in: Sov.J. Particles Nucl. (Engl. Transl.), vol. 7, issue 3, pp. 254-268, 1976.
  • Euclidian field theory and ion-dipole systems of classical statistical mechanics, in: Fizika mnogochastistichnych sistem (Russian)  (Physics of many-component systems), "Naukova Dumka", Kiev, 1983, pp.77-108.
  • Cluster-expansion method in Euclidian field theory and classical statistical mechanics, in: Sov.J.  Particles Nucl. (Engl. Transl.), vol. 16, issue 3, pp. 239-252, 1985.
  • Mathematical foundations of equilibrium classical statistical mechanics of charged particles, in: Russian Mathematical Surveys (English transl. from Uspekhi Mat. Nauk), 1988, vol.43, Nu.3, pp. 65�116.
  • Cell gas model of classical statistical systems. Reviews in Math. Phys., Vol. 25, No 4(2013), 1330006-1-28.
  • Infinitedimentional analysis and statistical mechanics (with V.A.Boluh) Proc. Inst.Math. NASU, 2014, v.11, No1, pp.258-315.