28 citations · 49 across the 7 of their papers we have counts for
9 papers
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…
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 ``…
A tree-free approach to regularity structures: The regular case for quasi-linear equations
Pablo Linares, Felix Otto
We give a motivation and gentle introduction into the regularity structure and model introduced by Otto, Sauer, Smith and Weber, which fall into the framework of Hairer, but have a…
A diagram-free approach to the stochastic estimates in regularity structures
Pablo Linares, Felix Otto, Markus Tempelmayr +1
In this paper, we explore the version of Hairer's regularity structures based on a greedier index set than trees, as introduced by Otto, Sauer, Smith and Weber. More precisely, we…
The structure group for quasi-linear equations via universal enveloping algebras
Pablo Linares, Felix Otto, Markus Tempelmayr
We consider the approach of replacing trees by multi-indices as an index set of the abstract model space introduced by Otto, Sauer, Smith and Weber to tackle quasi-lin…
On the representation of orthogonally additive polynomials in
A. Ibort, P. Linares, J. G. Llavona
We present a new proof of a Sundaresan's result which shows that the space of orthogonally additive polynomials is isometrically isomorphic to $\ell_{p/p-…