Feynman-Kac and Feynman formulas
Event details
| Date | 23.10.2013 |
| Hour | 17:15 › 18:00 |
| Speaker | Oleg Smolyanov |
| Location | |
| Category | Conferences - Seminars |
Hamiltonian Dynamics Seminar
Abstract: The Feynman-Kac formula is a representation of a solution of an evolutionary equation, or of a related object, by an integral over a collection of functions of the real variable taking values in a proper space. The Feynman formulas are representations of the same objects by limits of integrals over finite Cartesian products of the same space. Actually the integrals in the Feynman formula are finite dimensional approximations of infinite dimensional integrals from the Feynman-Kac formula.
In the talk one plans to discuss such formulas describing quantum evolution and diffusion in domains of Riemannian manifolds and also some similar formulas for quasiparticles with position dependent mass.
Abstract: The Feynman-Kac formula is a representation of a solution of an evolutionary equation, or of a related object, by an integral over a collection of functions of the real variable taking values in a proper space. The Feynman formulas are representations of the same objects by limits of integrals over finite Cartesian products of the same space. Actually the integrals in the Feynman formula are finite dimensional approximations of infinite dimensional integrals from the Feynman-Kac formula.
In the talk one plans to discuss such formulas describing quantum evolution and diffusion in domains of Riemannian manifolds and also some similar formulas for quasiparticles with position dependent mass.
Practical information
- Expert
- Free
Organizer
- Martins Bruveris and Sonja Hohloch
Contact
- martins.bruveris@epfl.ch