• Geometric rough paths on infinite dimensional spaces 

      Grong, Erlend; Nilssen, Torstein; Schmeding, Alexander (Peer reviewed; Journal article, 2022)
      Similar to ordinary differential equations, rough paths and rough differential equations can be formulated in a Banach space setting. For α ∈ (1/3,1/2), we give criteria for when we can approximate Banach space-valued ...
    • Lie theory for asymptotic symmetries in general relativity : The BMS group 

      Prinz, David Nicolas; Schmeding, Alexander (Peer reviewed; Journal article, 2022)
      We study the Lie group structure of asymptotic symmetry groups in General Relativity from the viewpoint of infinite-dimensional geometry. To this end, we review the geometric definition of asymptotic simplicity and emptiness ...