Flows driven by multi-indices Rough Paths
Probability
2026-01-19 v3 Classical Analysis and ODEs
Abstract
In this work, we introduce a solution theory for scalar-valued rough differential equations driven by multi-indices rough paths. To achieve this task, we will show how the flow approach using the log-ODE method introduced by Bailleul fits perfectly in this setting. In addition, we also describe the action of the translation of multi-indices rough paths at the level of rough differential equations.
Cite
@article{arxiv.2502.14771,
title = {Flows driven by multi-indices Rough Paths},
author = {Carlo Bellingeri and Yvain Bruned and Yingtong Hou},
journal= {arXiv preprint arXiv:2502.14771},
year = {2026}
}
Comments
35 pages