The DOJ withdraws subpoenas that would have forced three NYT reporters to testify about sources, after a federal judge criticized the DOJ for sloppy legal work (Associated Press)
https://apnews.com/article/usmediatimesair-force-one-42429e4d4da8accc42b6c3…
The #cost of the #ClimateCrisis is starting to appear to the public - not the purchase price of an EV, but the cost of food. That hits every day.
Food price fears after Europe’s heatwave destroys estimated €2bn of crops
The #cost of the #ClimateCrisis is starting to appear to the public - not the purchase price of an EV, but the cost of food. That hits every day.
Food price fears after Europe’s heatwave destroys estimated €2bn of crops
UK music blog Drowned in Sound is launching its first-ever print issue, 26 years after its launch, and will distribute 50K free copies across 500 music venues (Dominic Ponsford/Press Gazette)
https://pressgazette.co.uk/the-wire/me
The Butterfly Defect Effect in Cylindrical Shell Buckling: Non-localized Interactions of Localized Imperfections
Uba K. Ubamanyu, Antoine Blond, John W. Hutchinson, Pedro M. Reis
https://arxiv.org/abs/2607.19245 https://arxiv.org/pdf/2607.19245 https://arxiv.org/html/2607.19245
arXiv:2607.19245v1 Announce Type: new
Abstract: We investigate the buckling of axially compressed cylindrical shells containing localized defects, focusing on interactions among multiple defects and between them and the shell edges. Using high-fidelity finite-element simulations, we first characterize the parameter space of single-dimple sensitivity, defect-edge coupling, and pairwise defect-defect interactions. Building on this deterministic baseline, we run stochastic simulations of shells with randomly distributed imperfections whose amplitudes are sampled from a log-normal distribution. Post-buckling deformations form non-axisymmetric, butterfly-shaped patterns whose `wings' reach far across the shell surface. This spatial extent induces unavoidable interactions with neighboring defects and the clamped edges, so that buckling is not necessarily initiated by the deepest defect. A larger defect population raises the likelihood of an extreme defect, producing a statistical size effect: as the mean number of defects grows, the mean knockdown factor decreases asymptotically and its variability decays exponentially. The butterfly defect effect qualitatively explains the scatter in historical experimental data by correlating the knockdown factor with the cylinder length-to-thickness ratio ($H/t$) rather than the radius-to-thickness ratio ($R/t$) alone, thereby establishing $H$ as a key parameter for stability alongside $R$ and $t$. Nonetheless, the knockdown factors obtained here remain well above those reported in historical experiments, indicating that the localized Gaussian dimple, though nearly the worst-case imperfection for spherical shells, is not so for cylinders.
toXiv_bot_toot
Replaced article(s) found for math.DG. https://arxiv.org/list/math.DG/new
[1/3]:
- Family index for Fredholm extensions of semi-Fredholm operators
Marina Prokhorova
https://arxiv.org/abs/2401.16060 https://mastoxiv.page/@arXiv_mathDG_bot/111843359116350796
- Constructing stable Hilbert bundles via Diophantine approximation
Yucheng Liu, Biao Ma
https://arxiv.org/abs/2501.15784
- Ricci Solitons of Left-Invariant Metrics on Lie Groups with Derived Algebra of Dimension at Most Two
Hamid Reza Salimi Moghaddam
https://arxiv.org/abs/2601.10730 https://mastoxiv.page/@arXiv_mathDG_bot/115920688396400257
- Mass and rigidity in almost K\"ahler geometry
Partha Ghosh
https://arxiv.org/abs/2603.08627 https://mastoxiv.page/@arXiv_mathDG_bot/116204063956883755
- Classifying Slice-Regular Polynomials via Group Actions on the Twistor Space
Chunlin Liu, Giovanni Moreno, Haipan Shi
https://arxiv.org/abs/2605.22788 https://mastoxiv.page/@arXiv_mathDG_bot/116617182455085202
- $G_2$ and the Maximally Symmetric (3, 8) Distribution with 6-Dimensional Square
Nicklas Day, Boris Doubrov, Igor Zelenko
https://arxiv.org/abs/2605.25910 https://mastoxiv.page/@arXiv_mathDG_bot/116639966776117301
- Cohn--Vossen-Type Inequalities for Three-Manifolds and Locally Conformally Flat Manifolds
Jialong Deng
https://arxiv.org/abs/2606.01368 https://mastoxiv.page/@arXiv_mathDG_bot/116679534951132380
- From Gradient Descent to Potential Theory: A Geometric Dictionary for Binary Classification
Catalin Vasii
https://arxiv.org/abs/2607.00988 https://mastoxiv.page/@arXiv_mathDG_bot/116849328935224137
- A sharp relative comparison inequality for conformal fillings of Poincar\'e--Einstein manifolds
Nan Wu
https://arxiv.org/abs/2607.13742 https://mastoxiv.page/@arXiv_mathDG_bot/116928601640640156
- A degenerate free boundary minimal annulus and non-uniqueness in spherical caps beyond the hemisp...
Alexander Pigazzini
https://arxiv.org/abs/2607.23534 https://mastoxiv.page/@arXiv_mathDG_bot/116996542129550830
- Special Lagrangians with multiple isolated singularities
Bryan Dimler, Filippo Gaia
https://arxiv.org/abs/2607.26302 https://mastoxiv.page/@arXiv_mathDG_bot/117007805427278588
- Demailly-Koll\'ar continuity on klt pairs, and applications to alpha and delta invariants
Tam\'as Darvas, Kewei Zhang
https://arxiv.org/abs/2608.23505 https://mastoxiv.page/@arXiv_mathDG_bot/117155289132945927
toXiv_bot_toot
Hard Guarantees at a Measured Price: Entropy-Stable Learned Finite Volumes for Compressible Flow
Denis Gueyffier (ONERA -- Institut Polytechnique de Paris)
https://arxiv.org/abs/2607.20171 https://arxiv.org/pdf/2607.20171 https://arxiv.org/html/2607.20171
arXiv:2607.20171v1 Announce Type: new
Abstract: Learned solvers for compressible flow are usually compared to classical methods at equal mesh resolution rather than at equal computational cost, and they typically offer no guarantee that their solutions remain physically admissible. We present a learned finite volume scheme for the two-dimensional Euler equations on unstructured meshes, admissible by construction and with an entropy-stable interior flux. We evaluate it under protocols fixed before any computation: frozen thresholds, falsification clauses, negative controls, a factor decomposition of the learned components, and an iso-cost comparison against the refined classical baseline. The decomposition produced the central result: the guarantee machinery alone, with both learned heads switched off (the unlearned skeleton), is the strongest scheme at equal mesh on every periodic case. At equal wall-clock cost the picture inverts into a map. Learning pays robustly only on the wall case whose boundary-condition type it never saw (10.8%). Its periodic gains flip sign with the evaluation draw ( 10% on one held-out case, -12% on the hardest). The skeleton is the only method whose iso-cost gain never changes sign, at a measured overhead of 1.74x per step. The guaranteed variant completes 36 of 36 rollouts, Mach extrapolation and unseen wall included, with zero negativity events. We fix the guaranteed scheme's one remaining out-of-distribution weakness, Mach extrapolation, at inference time: with scale-invariant network inputs, a specific-entropy floor, and no retraining, the corrected arm overtakes the unconstrained arm on one Mach case, cuts its deficit on the other by a third, passes the skeleton on the unseen wall, and keeps the guarantee. A spatial gate closes the loop: activating the heads only near the walls beats both the skeleton and the corrected arm, and transfers unchanged to a second wall geometry.
toXiv_bot_toot
California's Rob Bonta and a 13-state group challenge the appointment of current and recent Nexstar personnel to Tegna's board, after a preliminary injunction (State of California)
https://oag.ca.gov/news/press-releases
NHL Productions plans to produce and distribute game telecasts for four teams when the season begins, since Main Street Sports shut down; more clubs might join (Joe Reedy/Associated Press)
https://apnews.com/article/nhl-tv-hurricanes-blue…