@… Just as a futher follow up, I have found a way to support older distros with a third party (chromium patched) libffmpeg, on older distros, so we will have this working out of the box in a future update.
Also as you may have gathered, this is not really a technical issue, this is more of a legal issue. Otherwise we would just build Vivaldi with support for these propr…
POL-OL: Apen - Bagatellunfall hat Folgen Oldenburg (ots) - Am Freitagabend, dem 07.08.2026, kam es gegen 19:40 Uhr auf der Straße "Lappenfeld" in Apen zu einem Verkehrsunfall. Zwei Pkw begegneten sich in einem Kurvenbereich und stießen leicht zusammen. Im Rahmen der Unfallaufnahme nahmen ... https://www.pressep…
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Raphael Loher:
🎵 Figuren VI
#RaphaelLoher
https://open.spotify.com/track/39lbm4fE9AhnJiNyoAR8VP
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Fixed Points, Stability, and Basin Geometry of the $3\times 3$ Correlation Map
Ishrak Alhajj Hassan
https://arxiv.org/abs/2608.03404 https://arxiv.org/pdf/2608.03404 https://arxiv.org/html/2608.03404
arXiv:2608.03404v1 Announce Type: new
Abstract: For more than half a century, iterated Pearson correlation has been used in clustering, seriation, and information visualization despite the absence of a general analytical theory of its limiting dynamics. We completely resolve the fixed-point classification and relative Lyapunov stability problems for the correlation map in dimension three. An exact row-wise Gram factorization yields the identity $\operatorname{rank}C(A)=\operatorname{rank}(AH_n)$, forcing every fixed point to be singular and to lie on the relative boundary of the elliptope. In arbitrary dimension, we characterize all nondegenerate sign-valued fixed points and prove that their number is $2^{n-1}-1$.
For $n=3$, we derive an explicit coordinate representation and prove that the natural nondegenerate domain contains exactly seven fixed points: three rank-one patterned points, three rank-two mixed points, and one rank-two equicorrelation point, forming three orbits under the permutation action of $S_3$. Exact symbolic Jacobian calculations prove that the patterned points are locally asymptotically stable, whereas admissible invariant boundary curves realize the expanding multipliers and prove that the mixed and equicorrelation points are Lyapunov unstable relative to the natural nondegenerate domain.
Permutation equivariance maps the three patterned basins onto one another and implies equal Lebesgue measure whenever measurable. Reproducible basin computations classify every sampled admissible trajectory as converging to one of the three patterned attractors, with nearly equal frequencies and no trajectory-level classification mismatches under stricter validation. These results establish a complete fixed-point and relative Lyapunov stability theory in dimension three and provide strong reproducible evidence for the full-measure convergence conjecture for the union of the three patterned basins.
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Replaced article(s) found for math.DS. https://arxiv.org/list/math.DS/new
[1/1]:
- On a question of Astorg and Boc Thaler
Zhangchi Chen, Zihao Ye, Weizhe Zheng
https://arxiv.org/abs/2511.21324 https://mastoxiv.page/@arXiv_mathDS_bot/115620847104579057
- Trimmed strong laws and distributional limits for exponentially mixing systems
Max Auer, Sixu Liu
https://arxiv.org/abs/2601.08126 https://mastoxiv.page/@arXiv_mathDS_bot/115892649562469490
- On Coexistence of Conservative Replicator Dynamics with Four Strategies
Haoyu Yin, Xudong Chen, Bruno Sinopoli
https://arxiv.org/abs/2604.06117 https://mastoxiv.page/@arXiv_mathDS_bot/116368245208941871
- Sharp Cyclicity of Neutral Entry--Exit Cycles with Quadratic Grazing
Haibo Lu
https://arxiv.org/abs/2607.27464 https://mastoxiv.page/@arXiv_mathDS_bot/117013446092691734
- Reachable and observable sets for switched systems via generalized Lyapunov equations: applicatio...
Mattia Manucci, Benjamin Unger
https://arxiv.org/abs/2407.20044 https://mastoxiv.page/@arXiv_mathNA_bot/112874193213871144
- Fractals in rate-induced tipping
Jason Qianchuan Wang, Yi Zheng, Eduardo G. Altmann
https://arxiv.org/abs/2601.16373 https://mastoxiv.page/@arXiv_nlinCD_bot/115960558494609598
- Cluster dynamics in a two-group Stuart-Landau model analyzed by the second-order phase reduction
Yernur Baibolatov, Oleh E. Omel'chenko, Michael Rosenblum
https://arxiv.org/abs/2606.04668 https://mastoxiv.page/@arXiv_nlinAO_bot/116690719923365518
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