Dr. Moritz Gerlach

• Kernel operators
• Asymptotic behavior of semigroups and Markov processes
• Ergodic theory
• Positivity and lattice theory
• Algorithms and computational complexity

summer term 2014:

• assistant for elementary complex analysis
• assistant for elementary functional analysis
• supervisor of seminar on functional analysis

List of former teaching activities.

• M. Gerlach
  Semigroups of Kernel Operators
  PhD thesis (2014)
• M. Gerlach
  A Tauberian theorem for strong Feller semigroups (arxiv)
  Arch. Math. (Basel) 102 (2014), no. 3, 245-255
• M. Gerlach, M. Kunze
  On the lattice structure of weakly continuous operators on the space of measures (arxiv)
  To appear in Mathematische Nachrichten (DOI: 10.1002/mana.201300218)
• M. Gerlach, M. Kunze
  Mean ergodic theorems on norming dual pairs (arxiv)
  Ergod. Th. & Dynam. Sys. 34 (2014), no. 4, 1210–1229
• M. Gerlach
  On the peripheral point spectrum and the asymptotic behavior of irreducible semigroups of Harris operators (arxiv)
  Positivity 17 (2013), no. 3, 875–898
• M. Gerlach, R. Nittka
  A new proof of Doob's theorem (arxiv)
  J. Math. Anal. Appl. 388 (2012), no. 2, 763–774
• M. Gerlach
  The asymptotic behavior of positive semigroups
  Diploma thesis (2010)
• M. Gerlach
  Vergleich von Zeit- und Platzkomplexität
  Diploma thesis (2008)