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math.AP2024
An -Laplacian for differential forms, and calibrated laminations
Aidan Backus
Motivated by Thurston and Daskalopoulos--Uhlenbeck's approach to Teichmüller theory, we study the behavior of -harmonic functions and their -harmonic conjugates in the limit…
math.AP2023
Minimal laminations and level sets of 1-harmonic functions
Aidan Backus
We collect several results concerning regularity of minimal laminations, and governing the various modes of convergence for sequences of minimal laminations. We then apply this the…