Aromatic and clumped multi-indices are equipped with pre-Lie-Rinehart algebra, Hopf algebroid, and Hopf algebra structures to reduce volume-preservation studies to one dimension and generalize Hopf embeddings for numerical analysis.
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3 Pith papers cite this work. Polarity classification is still indexing.
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Constructs uniform estimates and explicit counterterm for the renormalized stochastic thin-film equation in the full subcritical regime across dimensions d ≥ 1.
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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Aromatic and clumped multi-indices: algebraic structure and Hopf embeddings
Aromatic and clumped multi-indices are equipped with pre-Lie-Rinehart algebra, Hopf algebroid, and Hopf algebra structures to reduce volume-preservation studies to one dimension and generalize Hopf embeddings for numerical analysis.
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Stochastic estimates for the thin-film equation with thermal noise
Constructs uniform estimates and explicit counterterm for the renormalized stochastic thin-film equation in the full subcritical regime across dimensions d ≥ 1.
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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.