Google says Gemini 3.5 Flash Cyber is a "cost-efficient and highly capable alternative" to models like Mythos, available first to governments and some partners (Emma Roth/The Verge)
https://www.theverge.com/tech/968572/google-gemini-flash-cyber-ai-s…
From Flows to Maps: Sampling Laws for Attractor Intensity and Bounded-Noise Escape
Jiguang Yu, Louis Shuo Wang
https://arxiv.org/abs/2608.02933 https://arxiv.org/pdf/2608.02933 https://arxiv.org/html/2608.02933
arXiv:2608.02933v1 Announce Type: new
Abstract: Intensity of attraction quantifies the largest amplitude of a persistent bounded disturbance that an attractor can withstand without loss of controlled confinement in its basin. Although intensity has been formulated separately for flows and maps, its behavior under temporal sampling has remained unresolved. We establish an explicit correspondence between the intensity $\mu(A)$ of a continuous-time attractor and the intensity $\mu_h(A)$ of its exact time-$h$ map. For an $L$-Lipschitz vector field, \[ \frac{\mu(A)}{1 Lh} \leq \frac{\mu_h(A)}{h} \leq \mu(A)\frac{e^{Lh}-1}{Lh}, \] and hence $\mu_h(A)/h\to\mu(A)$. The resulting first-order rate is sharp in general, while smooth scalar escape geometries can exhibit second-order convergence. We extend the framework to one-step numerical methods through a stability theory for block intensity and to attracting invariant graphs over compact invertible nonautonomous bases, obtaining uniform sampling convergence over the forcing phase. For bounded-support random perturbations, normalized discrete intensity is identified with the pathwise safety threshold; above it, finite escape follows under an explicit finite-exit condition, while escape probabilities require additional assumptions on the noise law. We also show that the discrete state--normal boundary map converges to the normalized Pontryagin boundary system governing extremal reachable-set boundaries. Exact scalar benchmarks, a grazing resilience model, planar Duffing escape, anisotropic disturbances, periodic and quasiperiodic forcing, and transfer-operator computations illustrate the theory. These results give intensity estimated from discrete observations or simulations a sampling-independent continuous-time meaning.
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Anthropic says "some routine tasks like coding and debugging" on Fable 5 "will fall back to Opus 4.8" in "the near term" as it works to "reduce false positives" (@anthropicai)
https://x.com/anthropicai/status/2072163884430229756
Crosslisted article(s) found for physics.comp-ph. https://arxiv.org/list/physics.comp-ph/new
[1/2]:
- Interpolation of Microscale Stress and Strain Fields Based on Mechanical Models
Wenzhe Shan, Udo Nackenhorst
https://arxiv.org/abs/2104.09749
- Joint discovery of governing partial differential equations from multi-source datasets by competi...
Hao Xu, Siyu Lou, Yuntian Chen, Dongxiao Zhang
https://arxiv.org/abs/2606.30699 https://mastoxiv.page/@arXiv_csLG_bot/116843565775934283
- LinApart3: efficient algorithm for multivariate partial fraction decomposition with linear denomi...
L. Fek\'esh\'azy, A. Kardos
https://arxiv.org/abs/2606.30708 https://mastoxiv.page/@arXiv_hepph_bot/116843629511193799
- Introducing AuriGLOBES: the effect of compressive tides, compact object-induced mass loss, and si...
Pablo Contreras Guerra, Robert J. J. Grand, Marta Reina-Campos, Claudio Dalla Vecchia
https://arxiv.org/abs/2606.30746 https://mastoxiv.page/@arXiv_astrophGA_bot/116843732310368458
- Time-dependent adaptive mesh refinement solver for the Gross-Pitaevskii-Poisson equations
Iv\'an \'Alvarez-Rios
https://arxiv.org/abs/2606.30827 https://mastoxiv.page/@arXiv_astrophGA_bot/116843767701812779
- Computed materials proposals depart from the structural memory of experimental discovery
Dan Nguyen, Karen Cao, Brian Chu, Nick Lemoff, Paul Kienzle, William Ratcliff II
https://arxiv.org/abs/2606.30967 https://mastoxiv.page/@arXiv_condmatmtrlsci_bot/116843665854969922
- An Enhanced RPA-LDA Model for Ion Stopping Power from Cold Matter to High-Energy Density Plasmas:...
Thomas A. Mehlhorn, Ming Feng Gu, Igor Golovkin
https://arxiv.org/abs/2606.30978 https://mastoxiv.page/@arXiv_physicsplasmph_bot/116843597824839239
- Full-Wave Green's-Function Modeling of Collective Single-Photon Emission in Non-Markovian Open-Sy...
Hyunwoo Choi, Jisang Seo, Junwoo Gim, Bowoo Jang, Weng C. Chew, Dong-Yeop Na
https://arxiv.org/abs/2606.31317 https://mastoxiv.page/@arXiv_quantph_bot/116843791099390803
- Side-Chain Tuning of Thermal-Expansion Crossover in Metal-Organic Frameworks
Wei Qiu, Penghua Ying
https://arxiv.org/abs/2606.31417 https://mastoxiv.page/@arXiv_condmatmtrlsci_bot/116843748631678308
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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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Discrete Boltzmann model at Burnett level for compressible multicomponent flows under external forces
Demei Li, Huilin Lai, Chuandong Lin, Suni Chen
https://arxiv.org/abs/2607.20029 https://arxiv.org/pdf/2607.20029 https://arxiv.org/html/2607.20029
arXiv:2607.20029v1 Announce Type: new
Abstract: This work extends the Burnett-level discrete Boltzmann model (DBM) from single-component to multicomponent compressible flows under external forces, building on the fundamental framework of the high-precision discrete kinetic method. A high-isotropy 25-discrete-velocity set is adopted to guarantee numerical stability and spatial symmetry, while a rigorous moment-matching strategy is developed to construct the equilibrium distribution function and external force term. Different from the single-component counterpart, the present model intrinsically incorporates interspecies mass diffusion effects and multi-component thermodynamic nonequilibrium behaviors, which are critical for complex compressible multicomponent systems. The Chapman--Enskog expansion verifies that the proposed model can exactly recover the Burnett-level governing equations for forced multicomponent compressible flows in the continuum limit. Five canonical benchmark cases, including multicomponent mass diffusion, compressible Sod shock tube, thermal Couette flow, Kelvin--Helmholtz instability, and Rayleigh--Taylor instability, are systematically performed. Numerical results demonstrate that the developed Burnett-level multicomponent DBM achieves high accuracy and robustness in capturing both hydrodynamic evolution and multicomponent nonequilibrium characteristics under external forces.
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