2026-03-15T23:10:17Z https://kitami-it.repo.nii.ac.jp/oai

oai:kitami-it.repo.nii.ac.jp:02000646 2026-02-17T03:57:25Z 1:87

Invariant measures for random piecewise convex maps Tomoki Inoue Hisayoshi, Toyokawa, We establish the existence of Lebesgue-equivalent conservative and ergodic σ-finite invariant measures for a wide class of one-dimensional random maps consisting of piecewise convex maps. We also estimate the size of invariant measures around a small neighborhood of a fixed point where the invariant density functions may diverge. Application covers random intermittent maps with critical points or flat points. We also illustrate that the size of invariant measures tends to infinite for random maps whose right branches exhibit a strongly contracting property on average, so that they have a strong recurrence to a fixed point. journal article IOP Publishing 2024-04-03 application/pdf Nonlinearity 5 37 1361-6544 https://kitami-it.repo.nii.ac.jp/record/2000646/files/Invariant measures for random piecewise convex maps.pdf https://kitami-it.repo.nii.ac.jp/records/2000646 eng 10.1088/1361-6544/ad2ff9 Copyright(c)2024 IOP Publishing ‘This is the Accepted Manuscript version of an article accepted for publication in [Nonlinearity]. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at [https://www.doi.org/10.1088/1361-6544/ad2ff9].’ open access