Interpretation of the s parameter in Flow-Lenia in the continuous limit

Ascertain whether the parameter s in Flow-Lenia’s reintegration tracking scheme corresponds to a diffusion term or to some other operator in the continuous-time-and-space limit of the Flow-Lenia dynamics.

Background

In comparing MaCELenia to Flow-Lenia, the authors note that MaCE inherently includes a diffusion term in its continuous limit, whereas Flow-Lenia uses reintegration tracking with additional parameters, including s.

They explicitly state uncertainty about how the s parameter maps in the continuous limit—whether to diffusion or another effect—highlighting a gap in the theoretical understanding of Flow-Lenia’s continuum behavior.