3 papers
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.NT2026
The Mean field equation on the Tate curve
Yaojia Sun
In this paper, we study the spectrum of the Laplacian on the Tate curve and construct the associated Green's function as a finite sum, which can be viewed as the non-Archimedean co…
math.NT2026
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…