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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
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…
hep-th2026
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…