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PreprintarXiv licencearXiv

Hölder regularity of the top Lyapunov exponent for random matrix products with low-dimensional equator

  • Ana Cristina Barreto
  • Adriana Sánchez
  • El Hadji Yaya Tall
  • Marcelo Viana
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Abstract

We investigate the regularity of Lyapunov exponents for products of random invertible matrices of arbitrary dimension d≥ 2. We prove that the top Lyapunov exponent is pointwise Hölder continuous with respect to the Wasserstein-Hausdorff distance in the space of probability measures with compact support, in the case where this exponent is simple and the equator has dimension equal to or less than one.

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Cite

BibTeXRIS
BibTeX
@misc{barreto2026hölder,
  title = {{Hölder regularity of the top Lyapunov exponent for random matrix products with low-dimensional equator}},
  author = {Ana Cristina Barreto and Adriana Sánchez and El Hadji Yaya Tall and Marcelo Viana},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.17153},
  eprint = {2610.17153},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.17153},
}
RIS
TY  - UNPB
TI  - Hölder regularity of the top Lyapunov exponent for random matrix products with low-dimensional equator
AU  - Ana Cristina Barreto
AU  - Adriana Sánchez
AU  - El Hadji Yaya Tall
AU  - Marcelo Viana
PY  - 2026
DA  - 2026/10/12
PB  - arXiv
DO  - 10.48550/arxiv.2610.17153
UR  - https://arxiv.org/abs/2610.17153
AB  - We investigate the regularity of Lyapunov exponents for products of random invertible matrices of arbitrary dimension d≥ 2. We prove that the top Lyapunov exponent is pointwise Hölder continuous with respect to the Wasserstein-Hausdorff distance in the space of probability measures with compact support, in the case where this exponent is simple and the equator has dimension equal to or less than one.
ER  -