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arxiv: 1605.02192 · v2 · pith:QABPIS47new · submitted 2016-05-07 · 🧮 math.PR · math-ph· math.MP

The motion of a random string

classification 🧮 math.PR math-phmath.MP
keywords algebraicappearingclarifiesconstructioncontextevolutionforthcomingleading
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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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    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.