Finally, we explain how mode stability could serve as a preliminary step towards understanding boundedness, scattering and decay properties of general solutions to the Teukolsky equation on extremal Kerr black holes.

phases that spontaneously break the continuous time translation into a discrete subgroup. Recently, it has been demonstrated that the possibility of time crystals at equilibrium, i.e. in the canonical ensemble of "not-too-long-range" Hamiltonians, is ruled out. The search for time crystals in non-equilibrium systems remains still open. I will show that in the general context of a stable state of a "not-too-long-range" Markovian open dynamics, spontaneous break of continuous time symmetry is also forbidden. ]]>

In this talk new procedures for monitoring image processes are introduced. They are based on multivariate exponential smoothing and cumulative sums taking into account the local correlation structure. A comparison is given with existing methods. Within an extensive simulation study the performance of the analyzed methods is discussed.

The presented results are based on a joint work with Yarema Okhrin and Ivan Semeniuk.

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