Ever since Richard Feynman’s PhD thesis, path integrals have played a decisive role in mathematical physics. While it is well-known that such formulae can hold only formally, it was Mark Kac who realized that by replacing the unitary group by the heat semigroup, one obtains well-defined and rigorous formulae. Following this pioneering work, Feynman-Kac path integral formulae have been adapted to several situations and generalized into several directions providing the central focus of this workshop.
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Batu Güneysu, Matthias Keller, Kazumasa Kuwada, Anton Thalmaier, Mini-Workshop: Recent Progress in Path Integration on Graphs and Manifolds. Oberwolfach Rep. 16 (2019), no. 2, pp. 1003–1042DOI 10.4171/OWR/2019/16