Great article about the loss of diversity induced by recommender systems (including LLMs):
Temperature Zero for Culture: Why Everything Is Starting to Look the Same
"A world that keeps removing the unlikely also removes the things that could have become the next likely. Ecologists have known this for a long time already and even priced it: they call it the insurance value of biodiversity, the standing reserve of rare species that cost energy and contribute nothing, until the clim…
A really weird side-effect of working on what is, effectively, an optimization engine, is that so, so many algorithmic/analytic/PLT things become .... easy? (or gradual?)
I get to ... say. no.
No matter what, I basically always have the option of *failing*: the engine can always fall back to "drive-to-⊤, decline-to-make-a-firm-statement - this falls towards Run."
No matter how much buried complexity, the tool, at its core, only has one actual job: decide whether t…
Deformation algorithm: Deforming (2 1)-dimensional integrable systems to higher dimensional ones
Wang Fa-Ren, Jia Man, Lou S Y
https://arxiv.org/abs/2608.01293 https://arxiv.org/pdf/2608.01293 https://arxiv.org/html/2608.01293
arXiv:2608.01293v1 Announce Type: new
Abstract: The deformation algorithm based on conservation laws can lift (1 1)-dimensional integrable systems to higher-dimensional counterparts while preserving Lax integrability, yet its generalization to (2 1)-dimensional models has remained an open problem. This paper establishes a unified deformation framework for two (2 1)-dimensional integrable equations: the anisotropic Kadomtsev-Petviashvili (KP) equation and the isotropic Nizhnik-Novikov-Veselov (NNV) equation. By introducing a set of mutually commuting field-dependent deformation operators, we systematically construct infinite families of ($m 3$)-dimensional integrable KP and NNV hierarchies, derive their closed-form Lax pairs, and rigorously verify integrability via the vanishing commutator condition of Lax operators. For each high-dimensional hierarchy, concrete finite-dimensional master systems are obtained by truncating auxiliary spatial variables: a (3 1)-dimensional KP system and a (4 1)-dimensional generalized NNV system. Further symmetry reductions recover the original (2 1)-dimensional KP and NNV equations, and more importantly produce two distinct Harry-Dym (HD)-type reciprocal integrable systems. The KP reduction yields an anisotropic (2 1)-dimensional HD model, while the NNV reduction generates the first spatially isotropic two-space-dimensional HD system reported so far, filling a notable gap in existing literature. Parallel comparison of the KP and NNV branches reveals that the spatial symmetry of the original two-dimensional parent equation directly governs the symmetry properties of its high-dimensional deformations and HD dual subsystems. Our work not only extends the conservation-law deformation conjecture beyond (1 1)-dimensions to accommodate both strong Lax and weak Lax structures, but also provides a universal route to construct reciprocal links for multi-dimensional integrable systems.
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Replaced article(s) found for astro-ph.GA. https://arxiv.org/list/astro-ph.GA/new
[1/3]:
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Yu, Fang, Xu, Feng, Feng, Gao, Jiang, Lisenfeld
https://arxiv.org/abs/2404.18999 https://mastoxiv.page/@arXiv_astrophGA_bot/112364597912941989
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Hiddo S. B. Algera, et al.
https://arxiv.org/abs/2512.14486 https://mastoxiv.page/@arXiv_astrophGA_bot/115734347184965000
- Electron temperature relations and the direct N, O, Ne, S and Ar abundances of 49959 star-forming...
D. Scholte, et al.
https://arxiv.org/abs/2601.02463 https://mastoxiv.page/@arXiv_astrophGA_bot/115852861581257007
- The Role of Inner Halo Angular Momentum (Spin) in Shaping Dark Matter Bars in Milky Way Analogs
Shouvik Ghosh, Sandeep Kumar Kataria
https://arxiv.org/abs/2601.14420 https://mastoxiv.page/@arXiv_astrophGA_bot/115938036617000433
- GA-NIFS: Dissecting The Alchemised: JWST reveals turbulent metal-poor gas fuelling a co-spatial s...
Robert G. Pascalau, et al.
https://arxiv.org/abs/2603.00232 https://mastoxiv.page/@arXiv_astrophGA_bot/116164296791419745
- The Star Formation History of WLM from Asymptotic Giant Branch Stars and The Discovery of a Candi...
Abigail J. Lee, Daniel R. Weisz, Andrew E. Dolphin, Alessandro Savino
https://arxiv.org/abs/2603.00243 https://mastoxiv.page/@arXiv_astrophGA_bot/116164584608441374
- Two Exciting High-redshift Galaxy Candidates Turn Out to Be Two Exciting Ultra-cool Brown Dwarfs
Maru\v{s}a Brada\v{c}, et al.
https://arxiv.org/abs/2604.23668 https://mastoxiv.page/@arXiv_astrophGA_bot/116481375281380996
- PEARLS: JWST Counterparts of Micro-Jy Radio Sources in the NEP Time Domain Field. II. All Four Sp...
S. P. Willner, et al.
https://arxiv.org/abs/2605.17040 https://mastoxiv.page/@arXiv_astrophGA_bot/116600246884579228
- Eppur non si trovano Vol. 3: Phoebe -- a Mirage of a Primordial Black Hole
Andrzej Udalski, Przemek Mr\'oz
https://arxiv.org/abs/2606.19442 https://mastoxiv.page/@arXiv_astrophGA_bot/116775643602203820
- LEGGOS I: The JWST LEGGOS Survey -- LEnsing and Galaxy Growth: Observing Substructures -- Unpacks...
Gourav Khullar, et al.
https://arxiv.org/abs/2606.20845 https://mastoxiv.page/@arXiv_astrophGA_bot/116798485365000724
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