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math.PR2019★ 2 cited
Incompressible Euler equations with stochastic forcing: a geometric approach
Mario Maurelli, Klas Modin, Alexander Schmeding
We consider stochastic versions of Euler--Arnold equations using the infinite-dimensional geometric approach as pioneered by Ebin and Marsden. For the Euler equation on a compact m…
math.GR2019★ 1 cited
The Lie group of vertical bisections of a regular Lie groupoid
Alexander Schmeding
In this note we construct an infinite-dimensional Lie group structure on the group of vertical bisections of a regular Lie groupoid. We then identify the Lie algebra of this group…