Preprint method matches exact quantum test and anthracene spectrum
A Hagedorn-wavepacket calculation agreed closely with a controlled harmonic-model result and an experimental spectrum, while revealing important limits.
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1741–1760
Preprint: Under weak stability, a boundary problem leaves only round balls
A theorem by Michael Eichmair and Thomas Koerber gives a complete classification under Serrin’s stated equations, boundary conditions and stability requirement.
Preprint proposes a simpler route to precision limits in dynamical quantum measurements
A theoretical framework replaces a difficult matrix calculation with scalar bounds, but its promise remains untested outside modelled quantum systems.
Preprint finds truck-driver model captures broad road-speed patterns
Simulator and field logs showed strong radius and driver signals, while curve direction was weaker and uphill behavior harder to model.
Preprint gives exact local count for facet gaps in finite posets
A deterministic formula links the difference between chain and order polytopes to star elements and extends to a specified marked chain–order construction.
Preprint: Medical AI models lose accuracy in lower-resource languages
A nine-language benchmark found the steepest gaps in Swahili and Zulu, while proprietary systems were more stable than open-source and medically specialized models.
Preprint: COPA reports lower prompt-injection success rates in tests
The continual-learning defense had lower benchmark attack success rates than SecAlign and LlamaGuard while matching or exceeding the undefended base model on two question-answering tests.
Preprint model shows arc-like heat and uplift while no clearly developed cold slab appeared
A 3-D simulation of the Lesser Antilles showed a temperature rise above 226 K, a ridge emerging after about 5 million years and modeled mantle melting 20–50 km down.
Preprint tracks how sound scatters through complex open resonators
A resonant-state expansion matched Mie theory and COMSOL in modeled cases while revealing frequency-selective routing in an annular metaatom.
Preprint sets a mathematical lower bound on recurring particle-field motions
A theorem gives at least (nd + 1) periodic solutions in a restricted stochastic model, while leaving full electrodynamics and physical applications unresolved.
Preprint Shows When a Mathematical Inverse Can Be Extended
A proof-based study establishes a unique, continuous extension under closedness and convexity, while an open half-disk example shows why the boundary matters.
Preprint establishes one-sided curvature bounds for obstacle-problem boundaries
The theoretical work gives a local upper limit on mean curvature, but not on the full second fundamental form in dimensions three and above.
Preprint proposes a model for visco-elastic phase boundaries
The mathematical analysis gives the system a gradient-flow structure and establishes weak varifold-solution existence, with BV solutions only under additional conditions.
Preprint reports AI skill selector reaching 0.73 benchmark success with fewer tokens
Best Prefix Selection scored bundles of skills for a language-model agent, but the evidence comes from one frozen-executor benchmark.
Preprint extends Bayes’ rule to infinite-dimensional mathematics
The Petz recovery map meets the proposed rules for reversing mathematical transformations, but its uniqueness remains an unproved conjecture.
Preprint review finds diverse neural dynamics but concentrated learning rules
An audit of 32 architecture–learning configurations found every forward-dynamics class represented, while global-gradient methods accounted for 16 entries.
Preprint links partial permutations to ‘forgotten’ symmetric functions
A symbolic framework turns class-function evaluations into algebraic and combinatorial formulas, including a two-row rule for a set-mapping element.
Preprint model says changing pore networks can steepen stiffness scaling
An analytical framework separates local strut mechanics from changes in connectivity, backbone participation and load-path efficiency.
Preprint finds a recurrence property survives every finite colouring
A mathematical proof shows that when a set with “nice recurrence” is divided into finitely many colour classes, at least one class retains the same property.
Preprint: Simulations link weak dissipation to dominant solitons in shallow-water waves
Random-wave backgrounds were associated with long-lived modeled structures, but the result does not establish real-world rogue-wave risk.