Constructs a regularity structure and model for the stochastic Langevin dynamics of 3D Euclidean Yang-Mills, defined as the limit of mollified approximations, with global stochastic and pointwise weighted Besov estimates holding almost surely.
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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.
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A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure
Constructs a regularity structure and model for the stochastic Langevin dynamics of 3D Euclidean Yang-Mills, defined as the limit of mollified approximations, with global stochastic and pointwise weighted Besov estimates holding almost surely.
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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.