PreprintCC BY 4.0arXiv
Joint Uniform Continuity of Reduced Free Products for strong convergence
Abstract
We investigate a generalization of Skoufranis' theorem on joint continuity of free products of laws in the strong topology. Namely, we show that this operation is moreover \emph{uniformly continuous}. Our methods follows those of Piser and go through the estimates of Ricard-Xu.
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BibTeX
@misc{hayes2026joint,
title = {{Joint Uniform Continuity of Reduced Free Products for strong convergence}},
author = {Ben Hayes},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.30083},
eprint = {2610.30083},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.30083},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Joint Uniform Continuity of Reduced Free Products for strong convergence
AU - Ben Hayes
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.30083
UR - https://arxiv.org/abs/2610.30083
AB - We investigate a generalization of Skoufranis' theorem on joint continuity of free products of laws in the strong topology. Namely, we show that this operation is moreover \emph{uniformly continuous}. Our methods follows those of Piser and go through the estimates of Ricard-Xu.
ER -