@article{HinzSchwarz2022,
  author    = {Hinz, Michael and Schwarz, Michael},
  title     = {A note on Neumann problems on graphs},
  series = {Positivity},
  volume    = {26},
  journal   = {Positivity},
  number    = {4},
  publisher = {Springer},
  address   = {Dordrecht},
  issn      = {1385-1292},
  doi       = {10.1007/s11117-022-00930-0},
  pages     = {23},
  year      = {2022},
  abstract  = {We discuss Neumann problems for self-adjoint Laplacians on (possibly infinite) graphs. Under the assumption that the heat semigroup is ultracontractive we discuss the unique solvability for non-empty subgraphs with respect to the vertex boundary and provide analytic and probabilistic representations for Neumann solutions. A second result deals with Neumann problems on canonically compactifiable graphs with respect to the Royden boundary and provides conditions for unique solvability and analytic and probabilistic representations.},
  language  = {en}
}
@misc{KannSchwarz2021,
  author    = {Kann, Oliver and Schwarz, Michael},
  title     = {Einleitung: Milit{\"a}risches Wissen vom 16. bis zum 19. Jahrhundert},
  series = {Milit{\"a}r und Gesellschaft in der Fr{\"u}hen Neuzeit = Themenheft: Milit{\"a}risches Wissen vom 16. bis zum 19. Jahrhundert},
  volume    = {22},
  journal   = {Milit{\"a}r und Gesellschaft in der Fr{\"u}hen Neuzeit = Themenheft: Milit{\"a}risches Wissen vom 16. bis zum 19. Jahrhundert},
  publisher = {Universit{\"a}tsverlag Potsdam},
  address   = {Potsdam},
  isbn      = {978-3-86956-495-1},
  issn      = {1617-9722},
  doi       = {10.25932/publishup-51588},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-515888},
  pages     = {5 -- 16},
  year      = {2021},
  language  = {de}
}
@misc{KannSchwarzDethloffetal.2021,
  author    = {Kann, Oliver and Schwarz, Michael and Dethloff, Andreas and Mende, Volker and Thiele, Andrea and Meumann, Markus and Rous, Anne-Simone},
  title     = {Milit{\"a}r und Gesellschaft in der Fr{\"u}hen Neuzeit = Themenheft: Milit{\"a}risches Wissen vom 16. bis zum 19. Jahrhundert},
  volume    = {22},
  editor    = {Kann, Oliver and Schwarz, Michael},
  publisher = {Universit{\"a}tsverlag Potsdam},
  address   = {Potsdam},
  isbn      = {978-3-86956-495-1},
  issn      = {1617-9722},
  doi       = {10.25932/publishup-47471},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-474718},
  pages     = {233},
  year      = {2021},
  abstract  = {Milit{\"a}rgeschichte und Wissensgeschichte bilden zwei in den vergangenen Jahrzehnten international prosperierende Forschungsfelder, die bislang aber selten miteinander in Dialog getreten sind. Das Themenheft nimmt dies zum Anlass, exemplarisch die Potentiale wissensgeschichtlicher Perspektiven f{\"u}r die (fr{\"u}h-)neuzeitliche Milit{\"a}rgeschichte auszuloten und dabei zugleich den bislang oft unreflektierten Z{\"a}surcharakter der Jahre um 1800 kritisch zu beleuchten. Gab es eine eigene milit{\"a}rische Wissenskultur oder inwieweit partizipierte das Milit{\"a}r an den zivilen Wissenskulturen seiner sozialen Umwelt? Welche Akteure, welche Praktiken und welche Medien spielten eine Rolle bei der Verwissenschaftlichung des Milit{\"a}rischen im Wandel von der Kriegskunst zur Kriegswissenschaft? Gerade der geweitete analytische Horizont der Wissensgeschichte erm{\"o}glicht es, der Vielfalt der Wissensformen Rechnung zu tragen und entsprechende Entwicklungen angemessen in ihren historischen Kontexten zu verorten. Dar{\"u}ber hinaus bietet der epochen{\"u}bergreifende Zuschnitt die Chance, nicht nur Br{\"u}che, sondern auch m{\"o}gliche Kontinuit{\"a}ten zwischen fr{\"u}hneuzeitlichem und neuzeitlichem Milit{\"a}rwesen sowie dessen Beziehungen zum Wissen aufzuzeigen und etwaige Ungenauigkeiten oder historiographisch bedingte Verk{\"u}rzungen durch neue Akzentsetzungen zu korrigieren.},
  language  = {de}
}
@article{KellerLenzSchmidtetal.2019,
  author    = {Keller, Matthias and Lenz, Daniel and Schmidt, Marcel and Schwarz, Michael},
  title     = {Boundary representation of Dirichlet forms on discrete spaces},
  series = {Journal de Math{\´e}matiques Pures et Appliqu{\´e}es},
  volume    = {126},
  journal   = {Journal de Math{\´e}matiques Pures et Appliqu{\´e}es},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {0021-7824},
  doi       = {10.1016/j.matpur.2018.10.005},
  pages     = {109 -- 143},
  year      = {2019},
  abstract  = {We describe the set of all Dirichlet forms associated to a given infinite graph in terms of Dirichlet forms on its Royden boundary. Our approach is purely analytical and uses form methods. (C) 2018 Elsevier Masson SAS.},
  language  = {en}
}
@article{KellerSchwarz2018,
  author    = {Keller, Matthias and Schwarz, Michael},
  title     = {The Kazdan-Warner equation on canonically compactifiable graphs},
  series = {Calculus of variations and partial differential equations},
  volume    = {57},
  journal   = {Calculus of variations and partial differential equations},
  number    = {2},
  publisher = {Springer},
  address   = {Heidelberg},
  issn      = {0944-2669},
  doi       = {10.1007/s00526-018-1329-7},
  pages     = {18},
  year      = {2018},
  abstract  = {We study the Kazdan-Warner equation on canonically compactifiable graphs. These graphs are distinguished as analytic properties of Laplacians on these graphs carry a strong resemblance to Laplacians on open pre-compact manifolds.},
  language  = {en}
}
@article{KellerSchwarz2020,
  author    = {Keller, Matthias and Schwarz, Michael},
  title     = {Courant's nodal domain theorem for positivity preserving forms},
  series = {Journal of spectral theory},
  volume    = {10},
  journal   = {Journal of spectral theory},
  number    = {1},
  publisher = {EMS Publishing House},
  address   = {Z{\"u}rich},
  issn      = {1664-039X},
  doi       = {10.4171/JST/292},
  pages     = {271 -- 309},
  year      = {2020},
  abstract  = {We introduce a notion of nodal domains for positivity preserving forms. This notion generalizes the classical ones for Laplacians on domains and on graphs. We prove the Courant nodal domain theorem in this generalized setting using purely analytical methods.},
  language  = {en}
}
@phdthesis{Schwarz2020,
  author    = {Schwarz, Michael},
  title     = {Nodal domains and boundary representation for Dirichlet forms},
  school      = {Universit{\"a}t Potsdam},
  pages     = {164},
  year      = {2020},
  language  = {en}
}
@article{Schwarz2021,
  author    = {Schwarz, Michael},
  title     = {Die Genese von Milit{\"a}rreglements},
  series = {Milit{\"a}r und Gesellschaft in der Fr{\"u}hen Neuzeit = Themenheft: Milit{\"a}risches Wissen vom 16. bis zum 19. Jahrhundert},
  volume    = {22},
  journal   = {Milit{\"a}r und Gesellschaft in der Fr{\"u}hen Neuzeit = Themenheft: Milit{\"a}risches Wissen vom 16. bis zum 19. Jahrhundert},
  publisher = {Universit{\"a}tsverlag Potsdam},
  address   = {Potsdam},
  isbn      = {978-3-86956-495-1},
  issn      = {1617-9722},
  doi       = {10.25932/publishup-51532},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-515323},
  pages     = {51 -- 85},
  year      = {2021},
  language  = {de}
}