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Discrete Mixed Quantization for Cat Maps
Abstract
In this paper, we develop a mixed quantization technique for graph vector bundles that combines semiclassical analysis and quantum cat maps. We apply it to study the Kesten--McKay law and quantum ergodicity.
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BibTeX
@misc{kim2026discrete,
title = {{Discrete Mixed Quantization for Cat Maps}},
author = {Elena Kim and Qiaochu Ma},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.32113},
eprint = {2609.32113},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.32113},
}
RIS
TY - UNPB
TI - Discrete Mixed Quantization for Cat Maps
AU - Elena Kim
AU - Qiaochu Ma
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2609.32113
UR - https://arxiv.org/abs/2609.32113
AB - In this paper, we develop a mixed quantization technique for graph vector bundles that combines semiclassical analysis and quantum cat maps. We apply it to study the Kesten--McKay law and quantum ergodicity.
ER -