@article{63637,
  author       = {{Hinrichs, Benjamin and Lemm, Marius and Siebert, Oliver}},
  issn         = {{1424-0637}},
  journal      = {{Annales Henri Poincaré}},
  number       = {{1}},
  pages        = {{41--80}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{On Lieb–Robinson Bounds for a Class of Continuum Fermions}}},
  doi          = {{10.1007/s00023-024-01453-y}},
  volume       = {{26}},
  year         = {{2024}},
}

@article{53410,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>We consider a geodesic billiard system consisting of a complete Riemannian manifold and an obstacle submanifold with boundary at which the trajectories of the geodesic flow experience specular reflections. We show that if the geodesic billiard system is hyperbolic on its trapped set and the latter is compact and non-grazing, the techniques for open hyperbolic systems developed by Dyatlov and Guillarmou (Ann Henri Poincaré 17(11):3089–3146, 2016) can be applied to a smooth model for the discontinuous flow defined by the non-grazing billiard trajectories. This allows us to obtain a meromorphic resolvent for the generator of the billiard flow. As an application we prove a meromorphic continuation of weighted zeta functions together with explicit residue formulae. In particular, our results apply to scattering by convex obstacles in the Euclidean plane.</jats:p>}},
  author       = {{Delarue, Benjamin and Schütte, Philipp and Weich, Tobias}},
  issn         = {{1424-0637}},
  journal      = {{Annales Henri Poincaré}},
  keywords     = {{Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics}},
  number       = {{2}},
  pages        = {{1607--1656}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models}}},
  doi          = {{10.1007/s00023-023-01379-x}},
  volume       = {{25}},
  year         = {{2023}},
}

@article{63635,
  author       = {{Hinrichs, Benjamin and Matte, Oliver}},
  issn         = {{1424-0637}},
  journal      = {{Annales Henri Poincaré}},
  number       = {{6}},
  pages        = {{2877--2940}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Feynman–Kac Formula and Asymptotic Behavior of the Minimal Energy for the Relativistic Nelson Model in Two Spatial Dimensions}}},
  doi          = {{10.1007/s00023-023-01369-z}},
  volume       = {{25}},
  year         = {{2023}},
}

@article{43492,
  abstract     = {{We consider the spin boson model with external magnetic field. We prove a path integral formula for the heat kernel, known as Feynman–Kac–Nelson (FKN) formula. We use this path integral representation to express the ground state energy as a stochastic integral. Based on this connection, we determine the expansion coefficients of the ground state energy with respect to the magnetic field strength and express them in terms of correlation functions of a continuous Ising model. From a recently proven correlation inequality, we can then deduce that the second order derivative is finite. As an application, we show existence of ground states in infrared-singular situations.}},
  author       = {{Hasler, David and Hinrichs, Benjamin and Siebert, Oliver}},
  issn         = {{1424-0637}},
  journal      = {{Annales Henri Poincaré}},
  number       = {{8}},
  pages        = {{2819--2853}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field}}},
  doi          = {{10.1007/s00023-022-01160-6}},
  volume       = {{23}},
  year         = {{2022}},
}

@article{32006,
  author       = {{Guillarmou, Colin and Küster, Benjamin}},
  issn         = {{1424-0637}},
  journal      = {{Annales Henri Poincaré}},
  keywords     = {{Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics}},
  number       = {{11}},
  pages        = {{3565--3617}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds}}},
  doi          = {{10.1007/s00023-021-01068-7}},
  volume       = {{22}},
  year         = {{2021}},
}

@article{31289,
  author       = {{Weich, Tobias}},
  issn         = {{1424-0637}},
  journal      = {{Annales Henri Poincaré}},
  keywords     = {{Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics}},
  number       = {{1}},
  pages        = {{37--52}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows}}},
  doi          = {{10.1007/s00023-016-0514-5}},
  volume       = {{18}},
  year         = {{2016}},
}