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math.PR2021★ 19 cited
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…
math-ph2021★ 28 cited
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…