REVIEW 2 cited by
Flow techniques for non-geometric RDEs on manifolds
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
In 2015, Bailleul presented a mechanism to solve rough differential equations by constructing flows, using the log-ODE method. We extend this notion in two ways: On the one hand, we localize Bailleul's notion of an almost-flow to solve RDEs on manifolds. On the other hand, we extend his results to non-geometric rough paths, living in any connected, cocommutative, graded Hopf algebra. This requires a new concept, which we call a pseudo bialgebra map. We further connect our results to Curry et al (2020), who solved planarly branched RDEs on homogeneous spaces.
Forward citations
Cited by 2 Pith papers
-
It\^o formula for planarly branched rough paths
Itô's formula holds for planarly branched rough paths with Hölder roughness between 1/4 and 1/2.
-
Rough differential equations and planarly branched universal limit theorem
The paper proves existence and uniqueness of solutions to rough differential equations driven by planarly branched rough paths for roughness 1/4 < alpha <= 1/3 via Banach's fixed point theorem.
Discussion (0). Continue with ORCID to comment.