Methods of mathematical physics, thermodynamics of homogeneous spaces, heat kernel theory.
Main publications:
V. V. Mikheyev, I. V. Shirokov. Application of Coadjoint Orbits in the Thermodynam-ics of Non-Compact Manifolds. Electronic Journal of Theoretical Physics, 2005, Volume 2, Issue 7 (August 2005), pp. 1–10.
V. V. Mikheyev, I. V. Shirokov. Building of heat kernel on non-compact homogeneous spaces. Electronic Journal of Theoretical Physics, 2006, Volume 3, Issue 13 (December 2006), pp. 99–108.