Rough paths and Hopf algebras

Any commutative connected graded Hopf algebra gives rise to a specific notion of rough path. This article provides a review of the different Hopf algebras, providing the various kinds of rough paths which have appeared in recent literature: geometric and quasi-geometric rough paths, branched and planarly branched rough paths, and multi-index rough paths. Relations between all these variants are also described.

Authors

Dominique Manchon (ORCID: https://orcid.org/0000-0001-6865-7162)

Institutions

Laboratoire de Mathématiques Blaise Pascal (FR)

Publication Details

Journal: Journal of Computational Dynamics
Published: 2024-09-14
DOI: https://doi.org/10.3934/jcd.2024032
Citations: 2
Primary Topic: Advanced Topics in Algebra
Type: article
Field-Weighted Citation Impact: 2.54

Controls

|||

ALL TIME

JAN

FEB

MAR

APR

MAY

JUN

JUL

AUG

SEP

OCT

article

Rough paths and Hopf algebras

Dominique Manchon

Sep 14, 2024

2 citations

Journal of Computational Dynamics

Advanced Topics in Algebra

2.54

article

Rough paths and Hopf algebras

Dominique Manchon

September 14, 2024article en

2 citations

Abstract

Journal of Computational DynamicsVol. 12(1)

Laboratoire de Mathématiques Blaise Pascal (FR)

Openalex Percentile: Top 11%

Advanced Topics in Algebra

2.54

DOI Open Access PDF OpenAlex

AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Rough paths and Hopf algebras — Dominique Manchon · Journal of Computational Dynamics (2024) | TGRS Research Map | TGRS