@article{KourouZarvalis2022,
  author    = {Kourou, Maria and Zarvalis, Konstantinos},
  title     = {Compact sets in petals and their backward orbits under semigroups of holomorphic functions},
  series = {Potential Analysis},
  volume    = {59},
  journal   = {Potential Analysis},
  number    = {4},
  issn      = {0926-2601},
  doi       = {10.1007/s11118-022-10036-7},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-324368},
  pages     = {1913-1939},
  year      = {2022},
  abstract  = {Let (ϕ\(_t\))\(_{t≥0}\) be a semigroup of holomorphic functions in the unit disk \(\mathbb {D}\) and K a compact subset of \(\mathbb {D}\). We investigate the conditions under which the backward orbit of K under the semigroup exists. Subsequently, the geometric characteristics, as well as, potential theoretic quantities for the backward orbit of K are examined. More specifically, results are obtained concerning the asymptotic behavior of its hyperbolic area and diameter, the harmonic measure and the capacity of the condenser that K forms with the unit disk.},
  language  = {en}
}
@article{DippellEspositoWaldmann2022,
  author    = {Dippell, Marvin and Esposito, Chiara and Waldmann, Stefan},
  title     = {Deformation and Hochschild cohomology of coisotropic algebras},
  series = {Annali di Matematica Pura ed Applicata},
  volume    = {201},
  journal   = {Annali di Matematica Pura ed Applicata},
  number    = {3},
  doi       = {10.1007/s10231-021-01158-7},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-329069},
  pages     = {1295-1323},
  year      = {2022},
  abstract  = {Coisotropic algebras consist of triples of algebras for which a reduction can be defined and unify in a very algebraic fashion coisotropic reduction in several settings. In this paper, we study the theory of (formal) deformation of coisotropic algebras showing that deformations are governed by suitable coisotropic DGLAs. We define a deformation functor and prove that it commutes with reduction. Finally, we study the obstructions to existence and uniqueness of coisotropic algebras and present some geometric examples.},
  language  = {en}
}
@article{GreefrathSillerKlocketal.2022,
  author    = {Greefrath, Gilbert and Siller, Hans-Stefan and Klock, Heiner and Wess, Raphael},
  title     = {Pre-service secondary teachers' pedagogical content knowledge for the teaching of mathematical modelling},
  series = {Educational Studies in Mathematics},
  volume    = {109},
  journal   = {Educational Studies in Mathematics},
  number    = {2},
  issn      = {0013-1954},
  doi       = {10.1007/s10649-021-10038-z},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-308259},
  pages     = {383-407},
  year      = {2022},
  abstract  = {The article deals with the pedagogical content knowledge of mathematical modelling as part of the professional competence of pre-service teachers. With the help of a test developed for this purpose from a conceptual model, we examine whether this pedagogical content knowledge can be promoted in its different facets—especially knowledge about modelling tasks and about interventions—by suitable university seminars. For this purpose, the test was administered to three groups in a seminar for the teaching of mathematical modelling: (1) to those respondents who created their own modelling tasks for use with students, (2) to those trained to intervene in mathematical modelling processes, and (3) participating students who are not required to address mathematical modelling. The findings of the study—based on variance analysis—indicate that certain facets (knowledge of modelling tasks, modelling processes, and interventions) have increased significantly in both experimental groups but to varying degrees. By contrast, pre-service teachers in the control group demonstrated no significant change to their level of pedagogical content knowledge.},
  language  = {en}
}