\(\mathrm{SL}_2 (\mathbb{R})\)-developments and signature asymptotics for planar paths with bounded variation

DOI10.4171/rmi/1397arXiv2009.13082OpenAlexW4308648280MaRDI QIDQ6058051

X. Geng, Horatio Boedihardjo

Publication date: 26 October 2023

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.13082

zbMATH Keywords

iterated integralsChen series

Mathematics Subject Classification ID

Asymptotic properties of solutions to ordinary differential equations (34D05) Signatures and data streams (60L10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The signature of a rough path: uniqueness
• Characteristic functions of measures on geometric rough paths
• Hyperbolic development and inversion of signature
• A non-vanishing property for the signature of a path
• Super-multiplicativity and a lower bound for the decay of the signature of a path of finite length
• Uniqueness for the signature of a path of bounded variation and the reduced path group
• Inverting the signature of a path
• Path developments and tail asymptotics of signature for pure rough paths
• Signature inversion for monotone paths
• On the radius of convergence of the logarithmic signature
• Iterated integrals of differential forms and loop space homology
• System Control and Rough Paths
• Tail asymptotics of the Brownian signature
• Reconstruction for the signature of a rough path
• The Radiation Theories of Tomonaga, Schwinger, and Feynman

This page was built for publication: \(\mathrm{SL}_2 (\mathbb{R})\)-developments and signature asymptotics for planar paths with bounded variation