Uniqueness for the signature of a path of bounded variation and the reduced path group
We introduce the notions of tree-like path and tree-like equivalence between paths and prove that the latter is an equivalence relation for paths of finite length. We show that the equivalence classes form a group with some similarity to a free group, and that in each class there is one special tree...
Main Authors: | Hambly, B, Lyons, T |
---|---|
Format: | Journal article |
Published: |
2005
|
Similar Items
-
The signature of a rough path: Uniqueness
by: Boedihardjo, H, et al.
Published: (2016) -
The signature of a rough path: uniqueness
by: Geng, X
Published: (2015) -
Inverting the signature of a path
by: Lyons, TJ, et al.
Published: (2018) -
Super-multiplicativity and a lower bound for the decay of the signature of a path of finite length
by: Chang, J, et al.
Published: (2018) -
Rough paths, signatures and the modelling of
functions on streams
by: Lyons, T
Published: (2014)