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Feller processes are a particular kind of continuous-time Markov processes, which generalize the class of stochastic processes with stationary and independent increments or Levy processes. A… (More)

- Ya. A. Butko
- 2006

This note is devoted to Feynman formulas (i.e., representations of semigroups by limits of n-fold iterated integrals as n → ∞) and their connections with phase space Feynman path integrals. Some… (More)

In the present note we consider a class of second order parabolic equations with position dependent coefficients; such equations describe a diffusion of (quasi) particles with a variable mass. We… (More)

- Ya. A. Butko
- 2014

- Ya. A. Butko
- 2007

- Ya. A. Butko
- 2008

A solution of the Cauchy-Dirichlet problem is represented as the limit of a sequence of integrals over finite Cartesian powers of the domain of the manifold considered. It is shown that these limits… (More)

- Ya. A. Butko
- 2008

We obtain representations for the solution of the Cauchy-Dirichlet problem for the diffusion equation with drift in a domain on a compact Riemannian manifold as limits of integrals over the Cartesian… (More)

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