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math.PR2023
Insertion pre-Lie products and translation of rough paths based on multi-indices
Pablo Linares
We use the diagram-free approach to regularity structures introduced by Otto et. al. to build rough paths based on multi-indices. We identify the analogue of the insertion pre-Lie…
math.PR2023
A top-down approach to algebraic renormalization in regularity structures based on multi-indices
Yvain Bruned, Pablo Linares
We provide an algebraic framework to describe renormalization in regularity structures based on multi-indices for a large class of semi-linear stochastic PDEs. This framework is ``…