7189 papers
This paper proves Lubin's conjecture in new cases by demonstrating that over -tame extensions, the consistent sequences associated with a commuting pair of noninvertible and invertible height-one formal power series form a crystalline character of weight 1.
This paper proposes a convergent Plug-and-Play blind super-resolution framework that enhances clinical 1.5 T MRI images for improved multiple sclerosis diagnosis by jointly estimating high-resolution structures and unknown blur kernels without requiring prior degradation models.
This paper resolves a question posed by Benedetti and Sagan by constructing a sign-reversing involution on Takeuchi's expansion to explicitly determine the antipode of the ring of symmetric functions in the Schur basis.
This paper investigates the multifractal properties of the exceptional set in the Lüroth expansion where the maximal run-length function exhibits linear growth, specifically establishing the Hausdorff dimension for sets defined by prescribed lower and upper limits of the ratio between the run-length and the number of digits.
This paper establishes the existence, uniqueness, boundedness, and global stability of solutions for a Cauchy problem involving a non-homogeneous first-order differential equation with Krasnoselskii-Pokrovskii hysteresis, specifically analyzing its application to inversion-free feedforward control in magnetic shape memory alloy actuators through theoretical theorems and numerical examples.
This paper develops and analyzes mathematical models based on logistic equations and the Linear Quadratic model to demonstrate how optimal control theory can improve radiotherapy strategies by reducing tumor burden while minimizing damage to healthy tissue compared to constant radiation approaches.
This paper establishes the asymptotic sharpness of a Nikolskii-type inequality for rational functions in the Wiener algebra by constructing explicit test functions that demonstrate the bound relating the Wiener norm to the -norm cannot be improved as the number of poles tends to infinity.
This paper investigates the adjacency spectra of alternating-oriented -gonal staircase digraphs by demonstrating that their nonzero eigenvalues form regular -gons derived from a totally nonnegative core, establishing a three-term recursion for their characteristic polynomials, and proving that their spectral radius converges to as the staircase length increases.
This paper constructs a principal twistor model for a crepant resolution of a conical symplectic variety and proves its universality in recovering asymptotic hyperkähler metrics, thereby establishing an inclusion of the corresponding moduli space into a finite-dimensional real vector space.
This paper proposes an implicit-explicit trust region method that leverages the specific Hessian structure of Landau-type free energy functionals to efficiently compute second-order stationary points, enabling the identification of physically stable phases like the FDDD structure in the Landau-Brazovskii model with provable convergence guarantees.
This paper proposes a novel multivariate, data-dependent partition of unity method based on Moving Least Squares and Weighted Essentially Non-Oscillatory techniques to achieve high-order accuracy in smooth regions while effectively suppressing spurious oscillations near discontinuities.
This paper proposes a positioning-assisted beamforming approach to reduce CSI estimation overhead in massive MIMO systems by deriving closed-form expressions for the outage probability of joint Gaussian beams and optimizing their patterns for both 2D and 3D scenarios.
This paper proposes a method to identify nonlinear acyclic networks in continuous time with nonzero initial conditions and full excitations, demonstrating that measuring all sinks is necessary and sufficient for identifying trees and general directed acyclic graphs, while utilizing higher-order derivatives and dictionary functions to recover edge dynamics and parallel paths.
This paper demonstrates that while centralized precoding in cell-free massive MIMO is theoretically superior, its performance advantage vanishes under realistic per-AP power constraints, rendering distributed precoding a more robust and practical alternative.
This paper investigates the functional analytic properties of "localized" locally convex topologies to characterize distributions arising as divergences of vector fields, demonstrating that while these topologies are sequential, they generally lack standard properties like being Fréchet-Urysohn or barrelled, and establishing a semireflexivity condition that yields a general existence theorem for solving .
This paper establishes new refined lower and upper bounds for the numerical radius of bounded linear operators using Euclidean operator radius techniques, derives equality characterizations, and improves existing inequalities for operator commutators.
This paper establishes tight sufficient conditions based on spectral radius and completely characterizes the corresponding extremal graphs for the existence of rainbow Hamilton paths and cycles in families of bipartite graphs using the bi-shifting technique.
This paper generalizes a previous result on outlier eigenvectors by establishing that for sparse non-Hermitian random matrices with finite-rank perturbations, the squared projection of an outlier eigenvector onto the spike eigenspace converges in probability to $1-|\mu|^{-2}$, thereby solving Open Problem 5.
This paper establishes optimal strong and weak convergence rates for slow-fast systems driven by multiplicative -stable Lévy noises by overcoming challenges in exponential ergodicity and gradient estimates through coupling and spatial periodic methods, while also deriving explicit formulas for tangent maps induced by nonlinear immersions.
This paper completes the classification of Nottingham algebras by establishing existence and uniqueness results that determine all such infinite-dimensional, positively graded thin algebras up to isomorphism.