Description

The project CODYSMA: Computational Dynamics and Stochastics on Manifolds is a five year project which started January 1st, 2020 supported by the Norwegian Research Council through the program FRIPRO. The objective of the project is to provide the mathematical community with new mathematical theories and software tools for analysis and computations on manifolds.

Publications and preprints of the project

•  Z. Brzeźniak, M. Maurelli, A. Schmeding, The Ebin-Marsden toolbox for stochastic PDEs: stochastic Euler equations, arXiv:2311.08197.

• A. Laurent, H. Z. Munthe-Kaas, The universal equivariance properties of exotic aromatic B-series, arXiv:2305.10993.

• A. Laurent, R. I. McLachlan, H. Z. Munthe-Kaas, O. Verdier, The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators, arXiv:2301.10998.

• D. Caudillo, J. Diehl, K. Ebrahimi-Fard, E. Verri, Graph counting signatures and bicommutative Hopf algebras, arXiv:2206.08323.

• M. J. H. Al-Kaabi, K. Ebrahimi-Fard, D. Manchon, H. Z. Munthe-Kaas, Algebraic aspects of connections: from torsion, curvature, and post-Lie algebras to Gavrilov's double exponential and special polynomials, arXiv:2205.04381.

• L. Rahm, An operadic approach to substitution in Lie-Butcher series, Forum of Mathematics, Sigma, vol. 10, arXiv:2103.10893.

• H. Z. Munthe/Kaas, J. Stava, Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces, arxiv:2306.15582.

• J. Stava, The Connection Algebra of Reductive Homogeneous Spaces, arxiv:2310.08310.

Recorded talks

• Dominique Manchon, Algebraic aspects of connections

• Dominique Manchon, Post-Lie algebras and affine connections

• Adrien Laurent, Exotic aromatic B-series for the integration of ergodic stoch. diff. equations

• Ludwig Rahm, Substitution in Lie-Butcher Series