“Compared with the kinetic Langevin sampling algorithm, the proposed algorithm exhibits a higher contraction rate in the asymptotic time regime.”

“The PDE-ODI principle converts a broad class of parabolic differential equations into systems of ordinary differential inequalities.”

“The paper develops an approximate Stein's Unbiased Risk Estimator (SURE) for the average mean squared error and establishes asymptotic optimality and regret bounds for a class of machine learning-assisted linear shrinkage estimators.”

“The paper derives sufficient conditions on a compact self adjoint perturbation to guarantee that the perturbed system stays exactly observable.”

“The key methodological innovation is that orthogonal complement projections completely eliminate cross-modal interference when estimating each loading space.”

“The paper argues for a shift in emphasis from asymptotic behavior to transient and input-driven dynamics as a primary lens for understanding, testing, and reverse-engineering biological networks.”

“The paper focuses on Chern-Simons theory in 3D, motivated by its applications in condensed matter physics, gravity, and black hole physics, and explores its connection to asymptotic symmetries and integrable systems.”

“The paper theoretically ensures asymptotic error free computation with the minimal codeword length.”

“The paper develops a solid geometric framework for the theory by creating isochrons, which are the level sets of the asymptotic phase, using the Graph Transform theorem.”

“The paper establishes the consistency of the QMLE and derives its asymptotic distribution, and proposes a bias-corrected estimator.”

“PP-ACDC achieves asymptotic (exact) average consensus on any strongly connected digraph under appropriately chosen quantization parameters.”

“The algorithm achieves minimax-optimal regret independent of the ambient dimension $d$, thereby overcoming the curse of dimensionality.”

“The paper proves that any ancient, asymptotically cylindrical flow is non-collapsed, convex, rotationally symmetric, and belongs to one of three canonical families: ancient ovals, the bowl soliton, or the flying wing translating solitons.”

“The Schwarzschild exterior maximizes the event horizon formation time $ΔT_{\text{eh}}=\frac{19}{6}m$ among all asymptotically flat, static, spherically-symmetric black holes with the same ADM mass $m$ that satisfy the weak energy condition.”

“A "pointy" limit set implies asymptotic dependence, offering practical geometric criteria for identifying extremal dependence classes.”

“The paper derives the polynomial rate of decay of ruin probabilities in insurance portfolios where insolvency is driven by a single extreme claim.”

“The combined effect of the magnetic field and the TsT deformation singles out the special value k = -1/H. At this point, the perpendicular modes are restored.”

“The method couples a high-fidelity, asymptotic-preserving VPL solver with inexpensive, strongly correlated surrogates based on the Vlasov--Poisson--Fokker--Planck (VPFP) and Euler--Poisson (EP) equations.”

“Random multiplexing achieves statistical fading-channel ergodicity for transmitted signals by constructing an equivalent input-isotropic channel matrix in the random transform domain.”

“The paper derives least squares estimators for the drift, diffusion, and jump-diffusion coefficients and establishes their asymptotic rate of convergence.”

“The paper reveals the formation of the Poisson spot and pronounced wavefront distortions, and finds significant discrepancies with conventional methods at high frequencies.”

“The paper establishes asymptotically tight lower and upper bounds on the over-thresholds and shows that for infinitely many instances of m the two bounds coincide.”

“The running time of our algorithm for the global minimum cut problem is asymptotically better than the fastest sequential deterministic global minimum cut algorithm.”

“Our results mathematically characterize the background magnetic field exerts the stabilizing effect, and bridge the gap left by previous work with respect to the asymptotic behavior in time.”

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“The paper proves that there exist upper and lower bounds which are constant multiples of n^{-u/2} (dim V)^n, where u is the dimension of any maximal unipotent subgroup of G.”

“The paper introduces new surrogate losses and proves strong non-asymptotic, hypothesis set-specific consistency guarantees, resolving existing open questions.”

“The paper derives explicit large-order asymptotic formulas for the weak-field coefficients, revealing a nontrivial interplay between alternating and non-alternating factorial growth, governed by distinct structures associated with electric and magnetic contributions.”

“Fast transfer is equivalent to useful transfer for compute-optimal grid search, meaning that transfer is asymptotically more compute-efficient than direct tuning.”

“The study likely employs advanced mathematical techniques to analyze the model's behavior.”

“The research likely contributes to a deeper understanding of the practical limitations and potential vulnerabilities in CVQKD systems.”

“The paper achieves explicitly computable constants that improve upon all previously known bounds, with a 14% improvement over the previous best constant for dimension 3.”

“Without access to the full text, a detailed assessment is impossible.”

“The paper derives moderate deviation estimates for the height function in both the upper and lower tail regimes, with sharp exponents and constants.”

“RSA constructs candidate models via binomial random subset strategy and aggregates their predictions through a two-round weighting scheme, resulting in a structure analogous to a two-layer neural network.”

“The phase diagram reveals a first-order phase transition line between the tachyonic-hairy and scalar-hairy phases, originating at a critical point in the extreme temperature and chemical potential regime.”

“eFEONet augments the operator-learning framework with specialized enrichment basis functions that encode the asymptotic structure of layer solutions.”

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“The leading order of the solution takes the form of a modulated multisoliton. Apart from the error term, we also discover that the defocusing Manakov system has a dispersive correction term of order $t^{-1/2}$, but this term does not exist in the scalar case...”

“The paper proposes a novel framework of targeted learning via subpopulation matching, which decomposes both within- and between-study heterogeneity.”

“The main contribution is the derivation of unified gradient estimates that connect the near-boundary and far-field regions through a characteristic length scale determined by the Robin parameter, yielding a global description of how boundary effects penetrate into the exterior domain.”

“The paper introduces a private estimator for the $p_0$ model parameters and demonstrates its asymptotic properties.”

“The optimal antenna placement is in principle an electrostatic equilibrium problem.”

“Asymptotically exact dimension reduction of functionally graded anisotropic rods”

“The study focuses on the asymptotic momentum of Dirac particles.”

“The research focuses on computing the mass gap, a crucial parameter.”

“The paper focuses on Asymptotically Euclidean Solutions of the Constraint Equations.”

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“The research focuses on convergence speed, asymptotic bias, and rate-optimal pole selection.”

“When stability holds, the ordinary least-squares estimator satisfies a central limit theorem, and classical Wald-type confidence intervals -- designed for i.i.d. data -- become asymptotically valid even under adaptation, \emph{without} incurring the $\\sqrt{d \\log T}$ price of adaptivity.”