50 citations
- Universität GreifswaldDE11 papers
- Universitätsmedizin GreifswaldDE11 papers
- Leipzig UniversityDE2 papers
- Norwegian University of Science and TechnologyNO2 papers
- Abterra Biosciences (United States)US1 paper
- AGRF LtdAU1 paper
- Argonne National LaboratoryUS1 paper
- Carnegie Mellon UniversityUS1 paper
- CEA GrenobleFR1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Charité - Universitätsmedizin BerlinDE1 paper
- Charles Humbert 8CH1 paper
12 papers
Tikhonov-Fenichel Reductions and their Application to a Novel Modelling Approach for Mutualism
Johannes Apelt, Volkmar Liebscher
When formulating a model there is a trade-off between model complexity and (biological) realism. In the present paper we demonstrate how model reduction from a precise mechanistic…
Pseudo-Riemannian symmetric spaces of signature (2,2)
Ines Kath, Matti Lyko
We study all four-dimensional simply-connected indecomposable non-semisimple pseudo-Riemannian symmetric spaces whose metric has signature (2,2). We present models and compute thei…
Signatures of graphs for bicommutative Hopf algebras
Diego Caudillo, Joscha Diehl, Kurusch Ebrahimi-Fard +1
This article approaches the counting of subgraphs, in terms of signature-type functionals defined over combinatorial Hopf algebras of graphs. Well-known algebraic identities that a…
Shuffle Algebras and Non-Commutative Probability for Pairs of Faces
Joscha Diehl, Malte Gerhold, Nicolas Gilliers
One can build an operatorial model for freeness by considering either the right-handed or the left-handed representation of algebras of operators acting on the free product of the…
Connes fusion of spinors on loop space
Peter Kristel, Konrad Waldorf
The loop space of a string manifold supports an infinite-dimensional Fock space bundle, which is an analog of the spinor bundle on a spin manifold. This spinor bundle on loop space…
Tropical time series, iterated-sums signatures and quasisymmetric functions
Joscha Diehl, Kurusch Ebrahimi-Fard, Nikolas Tapia
Aiming for a systematic feature-extraction from time series, we introduce the iterated-sums signature over arbitrary commutative semirings. The case of the tropical semiring is a c…