Computes dimensions of symmetry spaces for the gKPZ equation via multi-indices that avoid over-parametrization, providing an elementary proof that simplifies prior decorated-tree results and completes the chain-rule program.
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abstract
We review a series of forthcoming results leading to the construction of a natural evolution on the space of loops with values in a Riemannian manifold. In particular, this clarifies the algebraic structure of the renormalisation procedures appearing in the context of the theory of regularity structures.
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Symmetries for the gKPZ equation via multi-indices
Computes dimensions of symmetry spaces for the gKPZ equation via multi-indices that avoid over-parametrization, providing an elementary proof that simplifies prior decorated-tree results and completes the chain-rule program.