3 papers
math.SP2026
Weyl's law and Pólya's conjecture for the Vladimirov-Taibleson operator
Yaojia Sun
This paper studies some fundamental problems in spectral geometry in the -adic setting. By viewing the Vladimirov-Taibleson operator as the -adic counterpart of the fra…
math.AP2026
Energy relations for the generalised Vladimirov derivative via Bruhat-Tits tree extensions
An Huang, Yaojia Sun
We formulate a proof on non-Archimedean analogue of the Caffarelli-Silvestre extension for fractional Laplacian on the Bruhat-Tits tree in terms of energy relations after ide…
math.NT2025
Green's function on the Tate curve
An Huang, Rebecca Rohrlich, Yaojia Sun +1
Motivated by the question of defining a -adic string worldsheet action in genus one, we define a Laplacian operator on the Tate curve, and study its Green's function. We show th…