Smooth rough paths, their geometry and algebraic renormalization
From MaRDI portal
Publication:2155636
DOI10.1007/s10013-022-00570-7zbMath1492.60301arXiv2111.15539OpenAlexW3214779242MaRDI QIDQ2155636
Sylvie Paycha, Rosa Preiß, Carlo Bellingeri, Peter K. Friz
Publication date: 15 July 2022
Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.15539
Hopf algebras and their applications (16T05) Rough paths (60L20) Analysis on and representations of infinite-dimensional Lie groups (22E66) Algebraic structures and computation (60L70)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solving the KPZ equation
- A theory of regularity structures
- Character groups of Hopf algebras as infinite-dimensional Lie groups
- Hopf-algebraic structure of families of trees
- Renormalisation and locality: branched zeta values
- Time-warping invariants of multidimensional time series
- Ramification of rough paths
- Differential equations driven by rough paths. Ecole d'Eté de Probabilités de Saint-Flour XXXIV -- 2004. Lectures given at the 34th probability summer school, July 6--24, 2004.
- Differential equations driven by Gaussian signals
- Differential equations driven by rough signals
- Normal coordinates and primitive elements in the Hopf algebra of renormalization
- Shuffling quantum field theory.
- The geometry of characters of Hopf algebras
- Renormalization: a quasi-shuffle approach
- Algebraic renormalisation of regularity structures
- Quasi-shuffle products
- Planarly branched rough paths and rough differential equations on homogeneous spaces
- Toric geometry of path signature varieties
- Geometric versus non-geometric rough paths
- Signatures in shape analysis: an efficient approach to motion identification
- A rough path perspective on renormalization
- The rough Veronese variety
- General rough integration, Lévy rough paths and a Lévy-Kintchine-type formula
- On the structure of Hopf algebras
- On the structure of free Baxter algebras
- Lévy processes and quasi-shuffle algebras
- Nested Sums of Symbols and Renormalized Multiple Zeta Values
- Lie Theory for Quasi-Shuffle Bialgebras
- Multidimensional Stochastic Processes as Rough Paths
- Constrained rough paths
- Differential Equations Driven by Rough Paths: An Approach via Discrete Approximation
- On the solution of linear differential equations in Lie groups
- Rough paths, Signatures and the modelling of functions on streams
- Learning Paths from Signature Tensors
- VARIETIES OF SIGNATURE TENSORS
- The geometry of the space of branched rough paths
- Quasi‐shuffle algebras and renormalisation of rough differential equations
- The exponential Lie series for continuous semimartingales
- Iterated Integrals and Exponential Homomorphisms†
- A course on rough paths. With an introduction to regularity structures
