Matches in SemOpenAlex for { <https://semopenalex.org/work/W4306291248> ?p ?o ?g. }
Showing items 1 to 66 of
66
with 100 items per page.
- W4306291248 abstract "We show that every $mathbb{R}^d$-valued Sobolev path with regularity $alpha$ and integrability $p$ can be lifted to a Sobolev rough path in the sense of T. Lyons provided $alpha >1/p>0$. Moreover, we prove the existence of unique rough path lifts which are optimal w.r.t. strictly convex functionals among all possible rough path lifts given a Sobolev path. As examples, we consider the rough path lift with minimal Sobolev norm and characterize the Stratonovich rough path lift of a Brownian motion as optimal lift w.r.t. to a suitable convex functional. Generalizations of the results to Besov spaces are briefly discussed." @default.
- W4306291248 created "2022-10-15" @default.
- W4306291248 creator A5000976732 @default.
- W4306291248 creator A5058544003 @default.
- W4306291248 creator A5084818994 @default.
- W4306291248 date "2018-11-13" @default.
- W4306291248 modified "2023-10-12" @default.
- W4306291248 title "Optimal extension to Sobolev rough paths" @default.
- W4306291248 doi "https://doi.org/10.48550/arxiv.1811.05173" @default.
- W4306291248 hasPublicationYear "2018" @default.
- W4306291248 type Work @default.
- W4306291248 citedByCount "0" @default.
- W4306291248 crossrefType "posted-content" @default.
- W4306291248 hasAuthorship W4306291248A5000976732 @default.
- W4306291248 hasAuthorship W4306291248A5058544003 @default.
- W4306291248 hasAuthorship W4306291248A5084818994 @default.
- W4306291248 hasBestOaLocation W43062912481 @default.
- W4306291248 hasConcept C112680207 @default.
- W4306291248 hasConcept C124101348 @default.
- W4306291248 hasConcept C134306372 @default.
- W4306291248 hasConcept C139002025 @default.
- W4306291248 hasConcept C17744445 @default.
- W4306291248 hasConcept C185644265 @default.
- W4306291248 hasConcept C191795146 @default.
- W4306291248 hasConcept C199360897 @default.
- W4306291248 hasConcept C199539241 @default.
- W4306291248 hasConcept C202444582 @default.
- W4306291248 hasConcept C2524010 @default.
- W4306291248 hasConcept C2777735758 @default.
- W4306291248 hasConcept C2778029271 @default.
- W4306291248 hasConcept C33923547 @default.
- W4306291248 hasConcept C41008148 @default.
- W4306291248 hasConcept C99730327 @default.
- W4306291248 hasConceptScore W4306291248C112680207 @default.
- W4306291248 hasConceptScore W4306291248C124101348 @default.
- W4306291248 hasConceptScore W4306291248C134306372 @default.
- W4306291248 hasConceptScore W4306291248C139002025 @default.
- W4306291248 hasConceptScore W4306291248C17744445 @default.
- W4306291248 hasConceptScore W4306291248C185644265 @default.
- W4306291248 hasConceptScore W4306291248C191795146 @default.
- W4306291248 hasConceptScore W4306291248C199360897 @default.
- W4306291248 hasConceptScore W4306291248C199539241 @default.
- W4306291248 hasConceptScore W4306291248C202444582 @default.
- W4306291248 hasConceptScore W4306291248C2524010 @default.
- W4306291248 hasConceptScore W4306291248C2777735758 @default.
- W4306291248 hasConceptScore W4306291248C2778029271 @default.
- W4306291248 hasConceptScore W4306291248C33923547 @default.
- W4306291248 hasConceptScore W4306291248C41008148 @default.
- W4306291248 hasConceptScore W4306291248C99730327 @default.
- W4306291248 hasLocation W43062912481 @default.
- W4306291248 hasLocation W43062912482 @default.
- W4306291248 hasOpenAccess W4306291248 @default.
- W4306291248 hasPrimaryLocation W43062912481 @default.
- W4306291248 hasRelatedWork W1985787639 @default.
- W4306291248 hasRelatedWork W2049628683 @default.
- W4306291248 hasRelatedWork W266838890 @default.
- W4306291248 hasRelatedWork W3015352488 @default.
- W4306291248 hasRelatedWork W3081363737 @default.
- W4306291248 hasRelatedWork W3135872487 @default.
- W4306291248 hasRelatedWork W4287815684 @default.
- W4306291248 hasRelatedWork W4319452538 @default.
- W4306291248 hasRelatedWork W4319988904 @default.
- W4306291248 hasRelatedWork W3193384681 @default.
- W4306291248 isParatext "false" @default.
- W4306291248 isRetracted "false" @default.
- W4306291248 workType "article" @default.