Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

Inverting the signature of a path

Tools
- Tools
+ Tools

Lyons, Terry and Xu, Weijun (2018) Inverting the signature of a path. Journal of the European Mathematical Society, 20 (7). pp. 1655-1687. doi:10.4171/JEMS/796 ISSN 1435-9855.

[img]
Preview
PDF
WRAP- inverting-signature-path-Xu-2018.pdf - Accepted Version - Requires a PDF viewer.

Download (665Kb) | Preview
Official URL: https://doi.org/10.4171/JEMS/796

Request Changes to record.

Abstract

The aim of this article is to develop an explicit procedure that enables one to reconstruct any C1 path (at natural parametrization) from its signature. We also explicitly quantify the distance between the reconstructed path and the original path in terms of the number of terms in the signature that are used for the construction and the modulus of continuity of the derivative of the path. A key ingredient in the construction is the use of a procedure of symmetrization that separates the behavior of the path at small and large scales.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: Journal of the European Mathematical Society
Publisher: European Mathematical Society Publishing House
ISSN: 1435-9855
Official Date: 22 May 2018
Dates:
DateEvent
22 May 2018Available
27 June 2016Accepted
Volume: 20
Number: 7
Page Range: pp. 1655-1687
DOI: 10.4171/JEMS/796
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 15 September 2016
Date of first compliant Open Access: 15 September 2016
Related URLs:
  • Publisher
  • Other Repository

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics

twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us