@simon_brooke@mastodon.scot"The super-rich have apocalypse fantasies of their own, built not on faith or ideology but on a calm and rational evaluation of how best to maintain their position; they would genuinely rather reign in hell than share in heaven. And they have all the money to make sure they get there."
#ClimateEmergency
@kurtsh@mastodon.social
@holger_moller@bildung.social @simon_brooke@mastodon.scotThis remarkable essay documents the direct personal responsibility of Steve Baker, Sajid Javid, and Rishi Sunak for the global financial crash of 2008. Of course, they all personally profited hugely from it.
Baker, of course, was later the architect of the hard Brexit deal.
If we had sent them all to prison, as any rational state would have done, #Brexit would probably never have happen…
@arXiv_mathAT_bot@mastoxiv.pageHomotopical Robustness of Isometries on the Cayley Plane
Thorsten Hertl, Isla Lim
https://arxiv.org/abs/2608.10559 https://arxiv.org/pdf/2608.10559 https://arxiv.org/html/2608.10559
arXiv:2608.10559v1 Announce Type: new
Abstract: We compute the effect of the inclusion $\mathrm{F}_4 \rightarrow \mathrm{hAut}(\mathbb{O}P^2)$ on rational homotopy groups by determining the rational homotopy class of the isometry action $\mathrm{F}_4 \times \mathbb{O}P^2 \rightarrow \mathbb{O}P^2$ in terms of a homomorphism between the minimal models of source and target. Although special emphasis is put on the Cayley plane, our results generalise to all simply connected rank $1$-symmetric spaces.
toXiv_bot_toot
@toxi@mastodon.thi.ngI recently watched these two videos by a chemical process engineer and found them super educational, interesting, rational, and well explained. They might also be useful for people organizing action against data center construction projects elsewhere..
The Math Behind "Water-Efficient AI Data Centres" Is Laughably Wrong
https://www.
@arXiv_hepth_bot@mastoxiv.pageHolographic Renormalization for String-Derived Lovelock--Horndeski Theory
Tianhao Wu
https://arxiv.org/abs/2608.13319 https://arxiv.org/pdf/2608.13319 https://arxiv.org/html/2608.13319
arXiv:2608.13319v1 Announce Type: new
Abstract: String-derived higher-curvature scalar--tensor gravities encode microscopic coupling data in boundary response, raising the question of whether holographic observables can reconstruct the underlying higher-dimensional parameters. We answer this question for the five-dimensional string-derived Lovelock--Horndeski (SDLH) theory on its exact linear-dilaton asymptotically locally AdS branch, constructing the renormalized generating functional for an arbitrary boundary metric and spacetime-dependent scalar source. A boundary-covariant radial hierarchy unifies the variational problem, local backreaction, logarithmic obstruction, finite one-point functions, and Ward identities. Two response determinants organize the recursion, resonant obstructions, and metric--scalar mixing. The Weyl anomaly condenses into an Euler density, a Weyl-squared density, and a single curvature--scalar square whose paired variations generate the metric and scalar obstructions. The resulting renormalized functional carries string-selected coupling data into boundary geometry, operator response, anomaly coefficients, and a calculable interface with gravitational observables. On the regular branch, four scalar-normalization-invariant holographic combinations admit a global rational inverse to the continuous reduced couplings. At fixed compactification dimension the map has maximal rank, while the curvature-anomaly sum reconstructs the higher-dimensional Gauss--Bonnet coefficient without sign ambiguity. Holographic response thus provides an explicit, overdetermined boundary fingerprint of the underlying string reduction.
toXiv_bot_toot
@fazalmajid@vivaldi.net@… if the assumption is that no one frontier lab will dominate because the others catch up quickly (let alone the Chinese open-weight models), it's a rational choice. Sell the shovels, don't go panning for gold in the back country.
@david_colquhoun@mstdn.social, “lying and deception are rational behaviours to achieve many goals. This is why humans do it. And this is why the AIs do it now.”
Yoshua Bengio
See https://www.theguardian.com/news/2026/sep/
@annsev@troet.cafeIch bin fassungslos über die CDU, SPD und Grüne, dass diese so erstaunt über das Ergebnis der #AfD sind. Das war für alle, die rational denken können, erwartbar - selbst eine Alleinregierung der AfD.
Glaubte wirklich jemand, dass am Wahltag dann doch nicht so viele AfD wählen würden? Wie naiv ist das denn und wie anmaßend.
Die CDU muss zur Kenntnis nehmen, dass sie in der derzeitigen Verfassthe…
@arXiv_mathDS_bot@mastoxiv.pagePolygonal Refractive Outer Billiards
Jaewoo Park
https://arxiv.org/abs/2608.02936 https://arxiv.org/pdf/2608.02936 https://arxiv.org/html/2608.02936
arXiv:2608.02936v1 Announce Type: new
Abstract: Extending recent work on refractive billiards, we introduce and study the corresponding refractive outer billiards system about a convex polygon. Gutkin and Simanyi showed in 1992 that for regular outer billiards, orbits about a certain class of polygons called quasi-rational polygons are bounded, and that orbits about rational polygons are periodic. Tabachnikov and Culter later proved in 2007 that every outer billiard system about a convex polygon admits a periodic trajectory. We generalize both results to the refractive setting.
toXiv_bot_toot
@nemorosa@mastodon.nu#WordWeavers 9/30: What stereotypes do your MCs deal with in their world?
This one made me realise that my MC doesn't really deal with stereotypes in the conventional sense.
The Mansion is populated by personified brain functions, so everyone has very strong expectations about everyone else's role.
Prefrontal Cortex is expected to be rational, Hippocampus is the abs…
@cdarwin@c.imTrump, who has lately taken to issuing warnings about a communist plot to take over America,
posits that an island of 9.6 million people
— nearly 90 percent of whom live in extreme poverty amid extended blackouts due to decades of U.S. economic warfare
— is an existential threat to the U.S.
This accusation is not meant to be rational.
It, like the charge that our elections are manipulated, is a transparent excuse to go after institutions and individuals that are…
@gray17@mastodon.socialsketch: nobody can correctly predict how long they will live. any "rational" individual retirement planning has to over-estimate lifespan, which means these people die with excess money that mostly becomes inheritance, nouveau nobility. this inefficiency leads to a lot of predation on the "rational" elderly before they die. the funds sitting in "investments" theoretically help overall economic growth, but it's not evenly distributed, 5% yield on $10 is meaningless. 5% on $1b destroys worlds
@bici@mastodon.social" I strongly believe there are entire companies right now under heavy AI psychosis and it’s impossible to have rational conversations with them about it. I can’t name any specific people because they include personal friends I deeply respect, but I worry about how this plays out."
– Mitchell Hashimoto, of HashiCorp and Ghostty fame
#AI
@arXiv_mathGM_bot@mastoxiv.pageUmbral Hermite representations of canonical catastrophe integrals
Giuseppe Dattoli (ENEA, Nuclear Department, Frascati Research Center, Via E. Fermi 45, 00044 Frascati, RM, Italy), Roberto Ricci (ENEA, Nuclear Department, Frascati Research Center, Via E. Fermi 45, 00044 Frascati, RM, Italy)
https://arxiv.org/abs/2610.03809 https://arxiv.org/pdf/2610.03809 https://arxiv.org/html/2610.03809
arXiv:2610.03809v1 Announce Type: new
Abstract: Higher-order multivariable Hermite-Kamp\'e de F\'eriet polynomials provide a unified construction of umbral representations for canonical catastrophe integrals. Expanding the unfolding exponential in these polynomials and integrating against the leading catastrophe kernel gives convergent moment expansions on suitable decay contours. A universal formal umbral operator then expresses the resulting fields through explicit moment ground states. We develop this construction for the fold, cusp and swallowtail, and relate the Euclidean Pearcey field to quartic scalar partition functions.
The distinction between formal and analytic umbral frameworks becomes essential when integration is performed before umbral evaluation. For Euclidean Pearcey, the integrated linearized kernel is a rational function whose action is not specified by the original formal rules. The Analytic Umbral Framework supplies a convergent Mellin pairing for this kernel and recovers the independently obtained bivariate Pearcey representation. This establishes, in this example, an exchange of integration and analytic evaluation and identifies a specific extension beyond the formal framework.
toXiv_bot_toot
@arXiv_mathDG_bot@mastoxiv.pageReplaced article(s) found for math.DG. https://arxiv.org/list/math.DG/new
[1/1]:
- Characterizations of weak almost ${\mathcal S}$-manifolds with curvature properties
Sourav Nayak, Dhriti Sundar Patra, Vladimir Rovenski
https://arxiv.org/abs/2508.08871 https://mastoxiv.page/@arXiv_mathDG_bot/115020407904524620
- Contact lifts and Holder lifts to central extension of Carnot groups
Yihan Cui
https://arxiv.org/abs/2512.11897 https://mastoxiv.page/@arXiv_mathDG_bot/115728123603076917
- A strict gap above the Brito--Chacon--Naveira bound for the Sasaki volume on higher odd spheres
Jonas Matuzas
https://arxiv.org/abs/2602.22961 https://mastoxiv.page/@arXiv_mathDG_bot/116141540006410959
- Hausdorff-type metric geometry of the space of Cauchy hypersurfaces
Christian Lange, Jonas W. Peteranderl
https://arxiv.org/abs/2604.11783 https://mastoxiv.page/@arXiv_mathDG_bot/116402225320621066
- Unexpected phenomena for mean curvature functionals in the Heisenberg group
Mattia Fogagnolo, Andrea Pinamonti, Simone Verzellesi
https://arxiv.org/abs/2605.29912 https://mastoxiv.page/@arXiv_mathDG_bot/116656777517434165
- Making Surfaces Biharmonic by Conformal Reparametrization in Anti-de Sitter Three-Space
Dipesh Bhandari
https://arxiv.org/abs/2607.06280 https://mastoxiv.page/@arXiv_mathDG_bot/116883321480043758
- $L^p$ Liouville theorems for pluriharmonic functions on gradient K\"ahler-Ricci solitons
Guangwen Zhao
https://arxiv.org/abs/2607.28057 https://mastoxiv.page/@arXiv_mathDG_bot/117013591192494418
- New Complex-Valued Harmonic Morphisms via Rational Exponents
Sigmundur Gudmundsson
https://arxiv.org/abs/2608.03905 https://mastoxiv.page/@arXiv_mathDG_bot/117041918873461280
- Analysis on surfaces with locally bounded integral curvature
Sebastian Boldt, Batu G\"uneysu, Maxime Marot
https://arxiv.org/abs/2608.03982 https://mastoxiv.page/@arXiv_mathDG_bot/117041925953852654
toXiv_bot_toot
@arXiv_mathAT_bot@mastoxiv.pageReplaced article(s) found for math.AT. https://arxiv.org/list/math.AT/new
[1/1]:
- Rational G-spectra over blocks with finite Weyl groups
J. P. C. Greenlees
https://arxiv.org/abs/2508.07752 https://mastoxiv.page/@arXiv_mathAT_bot/115014981580784182
- Stable Vectorization of Persistent Laplacians via Spectral Descriptors
Inkee Jung, Wonwoo Kang, Heehyun Park
https://arxiv.org/abs/2512.05463 https://mastoxiv.page/@arXiv_mathAT_bot/115682865323968969
- New Applications and Computations of the Lefschetz Number of Homeomorphisms and Open Maps
Jes\'us A. \'Alvarez L\'opez, Alejandro O. Majadas-Moure
https://arxiv.org/abs/2601.11370 https://mastoxiv.page/@arXiv_mathAT_bot/115920849620499577
- Discrete Coefficients and Open Invariant Covers in the Homology of Ample Groupoids
Luciano Melodia
https://arxiv.org/abs/2603.20861 https://mastoxiv.page/@arXiv_mathAT_bot/116283018602632921
- Koszul modules, holonomy Lie algebras, and resonance of groups and CDGAs
Alexander I. Suciu
https://arxiv.org/abs/2604.24986 https://mastoxiv.page/@arXiv_mathAT_bot/116486854147281455
- Highly connected non-formal Milnor fibers via polyhedral products
Alexander I. Suciu
https://arxiv.org/abs/2605.09254 https://mastoxiv.page/@arXiv_mathAT_bot/116560568619851882
- Fibrewise Orbifold Resolutions with Applications to $\mathrm{G}_2$-Moduli Spaces
Thorsten Hertl
https://arxiv.org/abs/2606.21128 https://mastoxiv.page/@arXiv_mathAT_bot/116798352254312526
- The spectrum of strict units of topological modular forms
Zhenpeng Li, Kiran Luecke
https://arxiv.org/abs/2607.27124 https://mastoxiv.page/@arXiv_mathAT_bot/117007859693230838
- Combinatorial Bounds on the Peterson Hit Problem via Certified Matrix Minors
Dang Vo Phuc
https://arxiv.org/abs/2608.02623 https://mastoxiv.page/@arXiv_mathAT_bot/117041748797896077
- Persistent Intrinsic Volumes
David Cohen-Steiner, Antoine Commaret
https://arxiv.org/abs/2407.14469 https://mastoxiv.page/@arXiv_mathMG_bot/112828943071296316
- Schematic Functorialities of Birational Motivic Homotopy Categories
Dipankar Maity
https://arxiv.org/abs/2608.04793 https://mastoxiv.page/@arXiv_mathAG_bot/117047522975134859
- Understanding Non-Split 2-Group Symmetry: (3 1)D SymTFT, Anomaly and Bordism
Zhenbang Gu, Ran Luo, Yi-Nan Wang, Yi Zhang
https://arxiv.org/abs/2608.08766
toXiv_bot_toot
@cdarwin@c.im"I strongly believe there are entire companies right now under heavy AI psychosis and it’s impossible to have rational conversations with them about it.
I can’t name any specific people because they include personal friends I deeply respect, but I worry about how this plays out."
-- Mitchell Hashimoto, of HashiCorp and Ghostty fame
@toxi@mastodon.thi.ngCurrent status: Waiting for various people to achieve REHGI (Rational Empathetic Human General Intelligence). How many more model versions until we reach that?
@arXiv_mathDS_bot@mastoxiv.pageReplaced article(s) found for math.DS. https://arxiv.org/list/math.DS/new
[2/2]:
- Generic-case complexity of Whitehead's algorithm, revisited
Ilya Kapovich
https://arxiv.org/abs/1903.07040
- Exponential mixing for the randomly forced NLS equation
Yuxuan Chen, Shengquan Xiang, Zhifei Zhang, Jia-Cheng Zhao
https://arxiv.org/abs/2506.10318 https://mastoxiv.page/@arXiv_mathAP_bot/114675099940694476
- Machine-Precision Prediction of Low-Dimensional Chaotic Systems from Noise-Free Data
Christof Sch\"otz, Niklas Boers
https://arxiv.org/abs/2507.09652
- Limit theorems for inhomogeneous $\phi$-mixing Markov chains
Yeor Hafouta, Brenden Williams
https://arxiv.org/abs/2510.15323 https://mastoxiv.page/@arXiv_mathPR_bot/115405447591487390
- A kernel method for the learning of Wasserstein geometric flows
Jianyu Hu, Juan-Pablo Ortega, Daiying Yin
https://arxiv.org/abs/2511.06655 https://mastoxiv.page/@arXiv_mathNA_bot/115530572827554967
- Null-Validated Topological Signatures of Financial Market Dynamics
Samuel W. Akingbade
https://arxiv.org/abs/2602.00383 https://mastoxiv.page/@arXiv_qfinST_bot/116006072151481289
- Simple generators of rational function fields
Alexander Demin, Gleb Pogudin
https://arxiv.org/abs/2602.10878 https://mastoxiv.page/@arXiv_csSC_bot/116056681962763734
- Martin Boundary and Invariant Fields of Multiplicative SHE
Hongyi Chen
https://arxiv.org/abs/2602.16126 https://mastoxiv.page/@arXiv_mathPR_bot/116096386900973756
- Counting the number of $1_{m}$-preperiodic $\mathcal{O}_{K}$-points of a discrete dynamical syste...
Brian Kintu
https://arxiv.org/abs/2606.14468 https://mastoxiv.page/@arXiv_mathNT_bot/116753018953819097
- Shadowing and Hyperbolicity for Endomorphisms of Locally Compact Groups
Dekui Peng
https://arxiv.org/abs/2606.27647 https://mastoxiv.page/@arXiv_mathGR_bot/116832321784455128
- Uniform $L^{\infty}$-Boundedness of Global Attractors for Reaction-Diffusion Equations with Neuma...
Antonio L. Pereira
https://arxiv.org/abs/2607.08061 https://mastoxiv.page/@arXiv_mathAP_bot/116894588437564813
- Stability of closed characteristics and invariant sets on star-shaped hypersurfaces
Huagui Duan, Zihao Qi
https://arxiv.org/abs/2607.15546 https://mastoxiv.page/@arXiv_mathSG_bot/116951161229689295
- Vakonomic Fluids
Ritoban Roy-Chowdhury, Mohammad Sina Nabizadeh, Oliver Gross, Anthony Gruber, Albert Chern
https://arxiv.org/abs/2607.18312 https://mastoxiv.page/@arXiv_mathph_bot/116962502170736360
toXiv_bot_toot
@arXiv_mathGM_bot@mastoxiv.pageFiniteness in Square Classes and Weighted Zero Density of Perfect Cuboids
Valery Asiryan
https://arxiv.org/abs/2609.38650 https://arxiv.org/pdf/2609.38650 https://arxiv.org/html/2609.38650
arXiv:2609.38650v1 Announce Type: new
Abstract: Let $M(N)$ be the number of similarity classes of positive rational perfect cuboids with ordered edges $a,b,c$, space diagonal $g$, and squarefree invariant $N=\operatorname{sf}(abcg/2)$. We prove that $M(N)$ is finite for every positive squarefree $N$, without any restriction on the rank of the associated congruent-number elliptic curve. More precisely, $M(N)\le C^{1 r_N}$ for an absolute constant $C>1$, where $r_N$ is the rank of $y^2=x^3-N^2x$. Using the established Paulsen-West rank obstruction and Smith's results on quadratic twists, we then prove \[
\lim_{X\to\infty}\frac1X
\sum_{\substack{N\le X\\N\text{ positive squarefree}}}M(N)^q=0
\qquad\text{for every fixed }q>0. \] Thus the result counts cuboid classes with their full multiplicities at each $N$. A quantitative decay estimate is also obtained. The geometric step excludes every positive-dimensional real abelian coset through the positive part of the compatibility surface; quantitative Mordell-Lang then gives the required bound. The argument is unconditional and uses the cuboid correspondence and rank obstruction as prior results.
toXiv_bot_toot
@arXiv_mathAT_bot@mastoxiv.pageDegrees of Maps and Cohomological Rigidity of Partial Flag Manifolds
Manas Mandal
https://arxiv.org/abs/2608.09183 https://arxiv.org/pdf/2608.09183 https://arxiv.org/html/2608.09183
arXiv:2608.09183v1 Announce Type: new
Abstract: We study the existence of continuous maps with nonzero Brouwer degree between partial flag manifolds. We prove that every continuous map between two distinct complex (or, quaternionic) partial flag manifolds, whose codomain is not a Grassmannian, has Brouwer degree zero. This establishes, for such partial flag manifolds, the analogue of the results of Ramani-Sankaran and Sankaran-Sarkar for complex and quaternionic Grassmannians, as well as an algebraic-geometric result of Paranjape and Srinivas for complex Grassmannians. As a consequence, we prove that complex and quaternionic partial flag manifolds are cohomologically rigid; that is, their rational cohomology rings determine their homeomorphism types. We conjecture that complex and quaternionic partial flag manifolds are homologically rigid.
toXiv_bot_toot
@arXiv_mathDG_bot@mastoxiv.pageCrosslisted article(s) found for math.DG. https://arxiv.org/list/math.DG/new
[2/2]:
- Sharp degree bound for rational proper maps from $\mathbb B^2$ to $\mathbb B^4$
Tianzhi Hu, Mai Shi, Pingsan Yuan
https://arxiv.org/abs/2609.15698 https://mastoxiv.page/@arXiv_mathCV_bot/117274112161304572
- Logarithm of the Universal Two-Valued Formal Group
Victor Buchstaber, Mikhail Kornev
https://arxiv.org/abs/2609.15878 https://mastoxiv.page/@arXiv_mathAT_bot/117274104526489256
toXiv_bot_toot
@thomasfuchs@hachyderm.ioReally interesting article on world maps, and why things that people say are "rational" and "objective" aren't
https://www.theguardian.com/science/ng-interactive/2026/sep/18/map-cartographers-western-bias-mercator-equal-earth
@arXiv_mathCV_bot@mastoxiv.pageCrosslisted article(s) found for math.CV. https://arxiv.org/list/math.CV/new
[1/1]:
- Homological rigidity and Schur rigidity of Schubert varieties in rational homogeneous spaces
Cong Ding, Qifeng Li
https://arxiv.org/abs/2607.18593 https://mastoxiv.page/@arXiv_mathAG_bot/116962603817723711
- Semipositivity of the orbifold second Chern class in Fujiki's class
Masataka Iwai, Satoshi Jinnouchi, Shiyu Zhang
https://arxiv.org/abs/2607.18699 https://mastoxiv.page/@arXiv_mathAG_bot/116962612666137501
- Topology of higher Albanese maps and aspherical varieties with nilpotent fundamental group
Vasily Rogov
https://arxiv.org/abs/2607.19013 https://mastoxiv.page/@arXiv_mathAG_bot/116962629771024098
toXiv_bot_toot
@arXiv_mathCV_bot@mastoxiv.pageMoment duality and an improved lower bound for Korenblum's constant
Frank Wikstr\"om
https://arxiv.org/abs/2607.17748 https://arxiv.org/pdf/2607.17748 https://arxiv.org/html/2607.17748
arXiv:2607.17748v1 Announce Type: new
Abstract: We introduce a moment-duality method for Korenblum's maximum principle in the Bergman space $A^2(\mathbb{D})$. Starting from an annular coefficient estimate of Wang, we show that admissibility of a constant~$c$ follows from the existence of a probability measure on $[c^2,1]$ whose ordinary and weighted moments lie on opposite sides of the Bergman moments $1/(k 1)$. This converts the norm comparison into a positive moment problem. We then give an explicit measure, consisting of eight atoms with rational data and Lebesgue measure on a terminal interval, for which the required inequalities admit a rigorous ball-arithmetic certificate. Consequently, \[
c_2\geq 0.4263, \] improving Wang's recent lower bound $c_2\geq0.3554$.
toXiv_bot_toot
@ErikJonker@mastodon.socialThere is something fundamentally wrong with oil companies making billions in profit while citizens and taxpayers bear the costs of the externalities they cause, including climate change, pollution, poor air quality, and the destruction of nature. Something has to be done about it. This is not a "leftwing" opinion but just looking at it with an economic/rational view....
#oilcompanies #climate #nature #economy #geopolitics
@arXiv_mathCV_bot@mastoxiv.pageOn meromorphic pencils, cusp singularities and holomorphic foliations in the complex plane
Bruno Scardua
https://arxiv.org/abs/2607.18526 https://arxiv.org/pdf/2607.18526 https://arxiv.org/html/2607.18526
arXiv:2607.18526v1 Announce Type: new
Abstract: We study polynomial holomorphic $1$-forms in $\mathbb{C}^2$ that are homologically trivial along the fibers of meromorphic pencils of the form $
\phi = \frac{f^p}{g^q}, $
where $f,g$ are holomorphic functions (possibly polynomials) in general position and $(p,q)=1$. We first establish a homological characterization of relative exactness: if a polynomial $1$-form $\Omega$ has vanishing periods along every closed path contained in the fibers $\phi_c$, then $\Omega$ decomposes as $\Omega = a\omega_0 dh,$ where $\omega_0 = p gdf - q f dg,$ for suitable polynomials $a$ and $h$. In the homogeneous case, degree constraints force $a$ to be constant. We then apply this integration principle to foliations leaving invariant plane curve singularities of cusp type \[ f^p g^q = 0. \] Under a natural genericity (Morse type) condition, we prove a globalization theorem showing that homological triviality along the associated pencil implies that $\Omega$ is a polynomial cusp basic form, \[ \Omega = d(f^p g^q) \lambda (p gdf - q fdg), \qquad \lambda \in \mathbb{C}. \] In particular, such foliations admit Liouvillian first integrals of hypergeometric type.
Our results provide a bridge between relative cohomology, the geometry of rational pencils, and the analytic structure of cusp foliations, yielding explicit normal forms and first integrals under homological hypotheses.
toXiv_bot_toot
