3 papers
math.GT2025
On the homology of and its application to complex structures on open manifolds
Filip Samuelsen
Since the 1970s, it has been known that any open connected manifold of dimension 2, 4 or 6 admits a complex analytic structure whenever its tangent bundle admits a complex linear s…
cond-mat.soft2022
A toy model for viscous liquid dynamics
Filip Samuelsen, Lorenzo Costigliola, Thomas B. Schrøder
A simple model for viscous liquid dynamics is introduced. Consider the surface of the union of hyper-spheres centered at random positions inside a hypercube with periodic boundary…
math.CV2021
Conformal renormalization of compact sets
Carsten Lunde Petersen, Filip Samuelsen
This paper develops a conformal renormalization scheme for compact sets . As one application of the conformal renormalization scheme we prove that for every i…