An extension theorem to rough paths

By Terry Lyons, Nicolas Victoir. 2007

104 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/5223f70c2bbce28fc094b4b64ea3c9fe59f2adcc

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Peter K. Friz
2. Martin Hairer
3. Nicolas Victoir
4. Massimiliano Gubinelli
5. Jeremy Quastel
6. M. Folz
7. Renjin Jiang
8. K. Takeuchi

In Geometry and Topology

1. Martin Hairer
2. Peter K. Friz
3. Nicolas Victoir
4. Natesh S. Pillai
5. Khoa Le

Citations in the corpus

• Geometric versus non-geometric rough paths (2012, unknown): “This result relies on the Lyons–Victoir extension theorem of [28], which shows that every γ -Hölder path in a quotient of the free nilpotent group G (N) (V ) can be extended to a γ -Hölder path in G (N) (V ) .”
• Multidimensional Stochastic Processes as Rough Paths: Theory and Applications (2010, background): “It is proven in [115] that it is a surjection when  is not an integer.”
• A theory of regularity structures (2013, result): “However, it has the advantage of not relying at all on the axiom of choice, which was used in [81] to prove a similar result in the one-dimensional case.”