3 papers
math.DS2026
Reentrant value fields as delayed coupled reaction-diffusion systems on finite graphs
Karsten Bohlen
We describe a dynamical system in which a symbolic field is coupled to a geometric field via a bipartite Hilbert-Schmidt kernel. The system is fully described by a retarded functio…
math.AP2025
A Volterra Calculus for Lie Groupoids
Karsten Bohlen
A pseudodifferential Volterra calculus for inverting parabolic differential equations on Lie groupoids is introduced. This enables the study of fundamental solutions of various cas…
math.CT2025
Internal absolute geometry I: desingularization
Karsten Bohlen
We introduce an axiomatization of Grothendieck sites with additional structure, and we describe sheaves that reconstruct groupoids which are internal to the site structure. This se…