arXiv subjects

Mark Deaconu

Publications and source records attributed to Mark Deaconu.

2 recordsLinked to original sources

arXiv2025

Infinite string bricks and Sturmian words over some gentle algebras

We study infinite string modules that are bricks over some gentle algebras. In particular, we first give a complete classification of these modules over the double-Kronecker gentle algebra and prove that each family is in bijection with a family of Sturmian (binary) words. We then generalize some of our results to a larger family of gentle algebras.

math.RT↗

arXiv2025

Buildings for Synthesis with Clifford+R

We study the problem of exact synthesis for the Clifford+R gate set and give the explicit structure of the underlying Bruhat-Tits building for this group. In this process, we also give an alternative proof of the arithmetic nature of this gate set.

quant-ph↗