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Pure and applied math breakthroughs, publications, and interdisciplinary insights from top journals and arXiv
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Traces of up to eight matrix powers now guarantee eigenvalue confinement for Hermitian operators, yielding reliable witnesses for quantum entanglement, negative eigenvalues, and non-Hermitian behavior without direct spectral computation.
LACE decomposes algorithm design into a verified I–O–T–H interface and refines specialist heuristics via time-constrained complementary evolution.
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Machine learning anomaly detection methods that excel on synthetic benchmarks like the Tennessee Eastman process often fail to generalize consistently...
On the Weber-type curve, refined topological recursion produces a free energy that is Borel-summable, with its Laplace sum equaling the Barnes double...
When free Abelian topological groups A(X) and A(Y) are isomorphic, first-countable perfect spaces X and Y share the hereditary Baire property; the...
A new spread-gated Hawkes-flocking model captures best bid and ask movements using self-excitation, spread-dependent cross-side kernels, and a hard...
A new CMOS-integrated spintronic Ising machine uses magnetoresistive random-access memory with 96,000 spins to solve combinatorial optimization by...
FlowMAS uses Generative Flow Networks to generate multi-agent workflow topologies, directly tackling the computational expense of search-based...
A local-to-global extension of the nerve theorem replaces cover intersections with compatible categorical models, then assembles them via the...
Dually flat geometry from the softmax function turns the linear representation hypothesis into a rigorous tool for both probing and steering concepts...
A new workflow connects RFC-level specifications to concrete C code for ChaCha20-Poly1305 through separate Cryptol models and consistency lemmas,...
A unified convergence analysis establishes that inexact block successive minimization reliably solves nonconvex problems by successively minimizing...
For each n ≥ 3 there exists ε > 0 such that properly embedded, strongly stable CMC hypersurfaces with |H| < ε and infinitely many ends exist in ℍ^n, invariant under Schottky groups. This shows stable Bernstein-type rigidity fails in this range.
Hybrid quantum-classical methods (QAOA, FALQON, VarQITE) raise correct jet-pairing efficiency in fully hadronic $t\bar{t}$ events above conventional...
Optimal long-time decay rates for small perturbative solutions to the quantum Boltzmann equation hold uniformly for both Fermi–Dirac and Bose–Einstein...
The paper establishes that every K4-minor-free graph is Ramsey size-linear, extending prior work that determined optimal linear constants specifically for cycles.
Physics-informed machine learning integrates physical constraints directly into models to solve the challenging CATS nuclear-reactor point-kinetics equations, with performance validated on extreme benchmark suites.
GCDTSP outperforms autoregressive baselines and prior diffusion models on larger instances, even surpassing its teacher on the TSP500 benchmark.
