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PreprintCC BY 4.0arXiv

Quantitative universality for products of i.i.d. random matrices

  • Nikita Lvov
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Abstract

Using estimates established in a previous paper, we prove quantitative universality results for cokernels of products of i.i.d. random matrices and for flags associated to k-tuples of random i.i.d. matrices, over finite local rings. In the case when the ring is a quotient of ℤp, this gives a quantitative analogue of some previous results of Huang, Nguyen and Van Peski.

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Cite

BibTeXRIS
BibTeX
@misc{lvov2026quantitative,
  title = {{Quantitative universality for products of i.i.d. random matrices}},
  author = {Nikita Lvov},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.10899},
  eprint = {2609.10899},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.10899},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Quantitative universality for products of i.i.d. random matrices
AU  - Nikita Lvov
PY  - 2026
DA  - 2026/09/09
PB  - arXiv
DO  - 10.48550/arxiv.2609.10899
UR  - https://arxiv.org/abs/2609.10899
AB  - Using estimates established in a previous paper, we prove quantitative universality results for cokernels of products of i.i.d. random matrices and for flags associated to k-tuples of random i.i.d. matrices, over finite local rings. In the case when the ring is a quotient of ℤ_p, this gives a quantitative analogue of some previous results of Huang, Nguyen and Van Peski.
ER  -