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PreprintCC BY 4.0arXiv

Word Trace Formulas over Compact Groups and Connected Cumulants

  • Liviu Paunescu
  • Florin Radulescu
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Abstract

We compute the expected value of the product of traces for a finite set of words within any compact subgroup of (N). Furthermore, we establish a sufficient condition under which these values determine that the product of the conjugacy classes of the words contains the identity.

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Cite

BibTeXRIS
BibTeX
@misc{paunescu2026word,
  title = {{Word Trace Formulas over Compact Groups and Connected Cumulants}},
  author = {Liviu Paunescu and Florin Radulescu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.34213},
  eprint = {2610.34213},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.34213},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Word Trace Formulas over Compact Groups and Connected Cumulants
AU  - Liviu Paunescu
AU  - Florin Radulescu
PY  - 2026
DA  - 2026/10/25
PB  - arXiv
DO  - 10.48550/arxiv.2610.34213
UR  - https://arxiv.org/abs/2610.34213
AB  - We compute the expected value of the product of traces for a finite set of words within any compact subgroup of (N). Furthermore, we establish a sufficient condition under which these values determine that the product of the conjugacy classes of the words contains the identity.
ER  -