7 papers
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…
A glimpse into the Ultrametric spectrum
An Huang, Christian B. Jepsen
The non-relativistic string spectrum is built from integer-spaced energy quanta in such a way that the high-temperature asymptotics, via the Hardy-Ramanujan formula for integer par…
One-loop -adic string theory and the Néron local height function
An Huang, Christian Jepsen
The -adic string worldsheet action on the quotient of the Bruhat-Tits tree of by a genus 1 Schottky group has a dual description on the asymptotic boundary…
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…
Approximation of L-functions associated to Hecke cusp eigenforms
An Huang, Kamryn Spinelli
We derive a family of approximations for L-functions of Hecke cusp eigenforms, according to a recipe first described by Matiyasevich for the Riemann xi function. We show that these…
Stabilization of codimension of persistence barcodes
Justin Allman, Anran Huang
Given a pointwise finite-dimensional persistence module over a totally ordered set , a theorem of Crawley-Boevey guarantees the existence of a barcode. When the set is finit…