Proves local and global well-posedness plus stability of the solution map for RDEs driven by X-controlled rough paths via canonical lift to a level-2 rough path.
Hairer, A theory of regularity structures, Invent
2 Pith papers cite this work. Polarity classification is still indexing.
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Explicit formulas, functional equations, and recursions are given for the cardinalities of fertility fibres of decorated trees, along with coefficient generating functions that refine the admissible-cut coproduct in the LOT Hopf algebra.
citing papers explorer
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Universal limit theorem for rough differential equations driven by controlled rough paths
Proves local and global well-posedness plus stability of the solution map for RDEs driven by X-controlled rough paths via canonical lift to a level-2 rough path.
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Fertility fibres and coproduct coefficients in the LOT Hopf algebra
Explicit formulas, functional equations, and recursions are given for the cardinalities of fertility fibres of decorated trees, along with coefficient generating functions that refine the admissible-cut coproduct in the LOT Hopf algebra.