ИСТИНА

The topic of the talk is stochastic perturbative approach to investigation of semigroups of diffusion type. A relationship between parametrix expansion and Feynman-Kac formula for Schroedinger semigroups proves to be useful in this context. Our goal is to effectively calculate the heat invariants, i.e. the coefficients of the heat kernel short-time asymptotic expansion and evaluate the corresponding regularized trace. For semigroups generated by potential perturbation of biLaplacian short-time asymptotics for the corresponding Schwartz kernel and regularized trace are derived.