4 papers
Algebraic Analysis of Rotation Data
Michael F. Adamer, András C. Lőrincz, Anna-Laura Sattelberger +1
We develop algebraic tools for statistical inference from samples of rotation matrices. This rests on the theory of D-modules in algebraic analysis. Noncommutative Gröbner bases ar…
Families of Toric Chemical Reaction Networks
Michael F. Adamer, Martin Helmer
We study families of chemical reaction networks whose positive steady states are toric, and therefore can be parameterized by monomials. Families are constructed algorithmically fr…
Coloured Noise from Stochastic Inflows in Reaction-Diffusion Systems
Michael F Adamer, Heather A Harrington, Eamonn A Gaffney +1
In this paper we present a framework for investigating coloured noise in reaction-diffusion systems. We start by considering a deterministic reaction-diffusion equation and show ho…
Graph-Facilitated Resonant Mode Counting in Stochastic Interaction Networks
Michael F Adamer, Thomas E Woolley, Heather A Harrington
Oscillations in a stochastic dynamical system, whose deterministic counterpart has a stable steady state, are a widely reported phenomenon. Traditional methods of finding parameter…