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Discrete Mixed Quantization

Spectral Theory 2026-05-28 v2 Mathematical Physics Differential Geometry math.MP

Abstract

In this paper, we develop a mixed quantization technique for graph vector bundles and apply it to several asymptotic spectral problems, including the Alon-Boppana bound, the Kesten-McKay law, asymptotic determinant, quantum ergodicity, zero divisor convergence, and Ramanujan vector bundles.

Cite

@article{arxiv.2605.16203,
  title  = {Discrete Mixed Quantization},
  author = {Qiaochu Ma},
  journal= {arXiv preprint arXiv:2605.16203},
  year   = {2026}
}

Comments

80 pages, comments are welcome!