Showing 2023Show all
2 papers · 1 filter
math.OC2023
Rigidity of Kantorovich solutions in discrete Optimal Transport
Alexander Bruce Johnson, Stefan Steinerberger
We study optimal transport plans from equally weighted points (with weights ) to equally weighted points (with weights ). The Birkhoff-von Neumann Theorem implies…
math.AP2023
An Almgren monotonicity formula for discrete harmonic functions
Mariana Smit Vega Garcia, Stefan Steinerberger
The celebrated Almgren monotonicity formula for harmonic functions says that its energy concentrated on a sphere of radius , when m…