Mini-Workshop: Recent Progress in Path Integration on Graphs and Manifolds

  • Batu Güneysu

    Humboldt-Universität zu Berlin, Germany
  • Matthias Keller

    Universität Potsdam, Germany
  • Kazumasa Kuwada

    Tohoku University, Sendai, Japan
  • Anton Thalmaier

    Université du Luxembourg, Luxembourg

Abstract

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.

Cite this article

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. 1003–1042

DOI 10.4171/OWR/2019/16