@article{Zass2020,
  author    = {Zass, Alexander},
  title     = {A Gibbs point process of diffusions: Existence and uniqueness},
  series = {Lectures in pure and applied mathematics},
  journal   = {Lectures in pure and applied mathematics},
  number    = {6},
  publisher = {Universit{\"a}tsverlag Potsdam},
  address   = {Potsdam},
  isbn      = {978-3-86956-485-2},
  issn      = {2199-4951},
  doi       = {10.25932/publishup-47195},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-471951},
  pages     = {13 -- 22},
  year      = {2020},
  language  = {en}
}
@article{AzzaliWahl2019,
  author    = {Azzali, Sara and Wahl, Charlotte},
  title     = {Two-cocycle twists and Atiyah-Patodi-Singer index theory},
  series = {Mathematical Proceedings of the Cambridge Philosophical Society},
  volume    = {167},
  journal   = {Mathematical Proceedings of the Cambridge Philosophical Society},
  number    = {3},
  publisher = {Cambridge Univ. Press},
  address   = {New York},
  issn      = {0305-0041},
  doi       = {10.1017/S0305004118000427},
  pages     = {437 -- 487},
  year      = {2019},
  abstract  = {We construct eta- and rho-invariants for Dirac operators, on the universal covering of a closed manifold, that are invariant under the projective action associated to a 2-cocycle of the fundamental group. We prove an Atiyah-Patodi-Singer index theorem in this setting, as well as its higher generalisation. Applications concern the classification of positive scalar curvature metrics on closed spin manifolds. We also investigate the properties of these twisted invariants for the signature operator and the relation to the higher invariants.},
  language  = {en}
}
@article{LudewigRosenberger2020,
  author    = {Ludewig, Matthias and Rosenberger, Elke},
  title     = {Asymptotic eigenfunctions for Schr{\"o}dinger operators on a vector bundle},
  series = {Reviews in mathematical physics},
  volume    = {32},
  journal   = {Reviews in mathematical physics},
  number    = {7},
  publisher = {World Scientific},
  address   = {Singapore},
  issn      = {0129-055X},
  doi       = {10.1142/S0129055X20500208},
  pages     = {28},
  year      = {2020},
  abstract  = {In the limit (h) over bar -> 0, we analyze a class of Schr{\"o}dinger operators H-(h) over bar = (h) over bar L-2 + (h) over barW + V .id(epsilon) acting on sections of a vector bundle epsilon over a Riemannian manifold M where L is a Laplace type operator, W is an endomorphism field and the potential energy V has a non-degenerate minimum at some point p is an element of M. We construct quasimodes of WKB-type near p for eigenfunctions associated with the low-lying eigenvalues of H-(h) over bar. These are obtained from eigenfunctions of the associated harmonic oscillator H-p,H-(h) over bar at p, acting on smooth functions on the tangent space.},
  language  = {en}
}
@phdthesis{Mahmoudi,
  author    = {Mahmoudi, Mahdi Hedayat},
  title     = {New applications of the edge calculus},
  school      = {Universit{\"a}t Potsdam},
  pages     = {126},
  language  = {en}
}
@article{FladFladHarutyunyanSchulze2018,
  author    = {Flad, Heinz-J{\"u}rgen and Flad-Harutyunyan, Gohar and Schulze, Bert-Wolfgang},
  title     = {Ellipticity of the quantum mechanical Hamiltonians},
  series = {Journal of pseudo-differential operators and applications},
  volume    = {9},
  journal   = {Journal of pseudo-differential operators and applications},
  number    = {3},
  publisher = {Springer},
  address   = {Basel},
  issn      = {1662-9981},
  doi       = {10.1007/s11868-017-0201-4},
  pages     = {451 -- 467},
  year      = {2018},
  abstract  = {In paper (Flad and Harutyunyan in Discrete Contin Dyn Syst 420-429, 2011) is shown that the Hamiltonian of the helium atom in the Born-Oppenheimer approximation, in the case if two particles coincide, is an edge-degenerate operator, which is elliptic in the corresponding edge calculus. The aim of this paper is an analogous investigation in the case if all three particles coincide. More precisely, we show that the Hamiltonian in the mentioned case is a corner-degenerate operator, which is elliptic as an operator in the corner analysis.},
  language  = {en}
}