arXiv Open Access 2025

Regularity of the variance in quenched CLT for random intermittent dynamical systems

Davor Dragičević Juho Leppänen

Lihat Sumber

Abstrak

We study random dynamical systems composed of LSV maps with varying parameters, without any mixing assumptions on the base space of random dynamics. We establish a quenched central limit theorem and identify conditions under which the associated limit variance varies continuously and differentiably with respect to perturbations of the random dynamics. Our arguments rely on recent results on statistical stability and linear response for random intermittent maps established in Dragicevic et al. (J. Lond. Math. Soc. 111 (2025), e70150).

Topik & Kata Kunci

math.DS

Penulis (2)

Davor Dragičević

Juho Leppänen

Format Sitasi

APA MLA BibTeX

Dragičević, D., Leppänen, J. (2025). Regularity of the variance in quenched CLT for random intermittent dynamical systems. https://arxiv.org/abs/2505.04415

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓