Lei Luo

Fibre-to-Section Lifting over Measure-Preserving Dynamics: Variational Reciprocity and Memory-Reversal Rigidity

Many nonlinear and variational problems are posed fibrewise over a probability space, whereas the dynamically relevant objects are measurable sections coupled by measure-preserving transformations. We study structural obstructions created by this fibre-to-section lifting. First, for a global continuously differentiable...