math papers | Gist.Science

On Cauchy problem and stability of inversion-free feedforward control of piecewise monotonic Krasnoselskii-Pokrovskii hysteresis

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.

Jana Kopfova, Michael Ruderman2026-03-05🔢 math

Competitive tumor growth modeling and optimal radiotherapy control via logistic equations

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.

Javier López-Pedrares, Alba López-Rivas, Raquel Romero-Lorenzo + 2 more2026-03-05🔢 math

Asymptotic sharpness of a Nikolskii type inequality for rational functions in the Wiener algebra

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 $H^2$ -norm cannot be improved as the number of poles tends to infinity.

Benjamin Auxemery, Alexander Borichev, Rachid Zarouf2026-03-05🔢 math

On the Adjacency spectra of alternating-oriented $n$ -gonal staircase digraphs

This paper investigates the adjacency spectra of alternating-oriented $n$ -gonal staircase digraphs by demonstrating that their nonzero eigenvalues form regular $n$ -gons derived from a totally nonnegative core, establishing a three-term recursion for their characteristic polynomials, and proving that their spectral radius converges to $(27/4)^{1/n}$ as the staircase length increases.

Hiroki Minamide2026-03-05🔢 math

Principal twistor models and asymptotic hyperkähler metrics

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.

Ryota Kotani2026-03-05🔢 math

Implicit-Explicit Trust Region Method for Computing Second-Order Stationary Points of A Class of Landau Models

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.

Chenglong Bao, Kai Deng, Kai Jiang + 1 more2026-03-05🔢 math

Multivariate Data-dependent Partition of Unity based on Moving Least Squares method

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.

Inmaculada Garcés, Juan Ruiz-Álvarez, Dionisio F. Yáñez2026-03-05🔢 math

Joint Gaussian Beam Pattern and Its Optimization for Positioning-Assisted Systems

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.

Yuanbo Liu, Bingcheng Zhu, Shuojin Huang + 2 more2026-03-05🔢 math

Identification of Nonlinear Acyclic Networks in Continuous Time from Nonzero Initial Conditions and Full Excitations

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.

Ramachandran Anantharaman, Renato Vizuete, Julien M. Hendrickx + 1 more2026-03-05🔢 math

Distributed vs. Centralized Precoding in Cell-Free Systems: Impact of Realistic Per-AP Power Limits

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.

Wei Jiang, Hans D. Schotten2026-03-05🔢 math

Localized locally convex topologies

This paper investigates the functional analytic properties of "localized" locally convex topologies $\mathcal{T}_{\mathcal{C}}$ 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 $\mathrm{div}(v) = F$ .

Thierry De Pauw2026-03-05🔢 math

Refined numerical radius estimates and Euclidean operator radius

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.

Pintu Bhunia, Rukaya Majeed2026-03-05🔢 math

Spectral radius and rainbow Hamiltonicity in bipartite graphs

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.

Meng chen, Ruifang Liu, Qixuan Yuan2026-03-05🔢 math

A note on outlier eigenvectors for sparse non-Hermitian perturbations

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.

Miltiadis Galanis, Michail Louvaris2026-03-05🔢 math

Strong and weak convergence rates for slow-fast system driven by multiplicative Lévy noises

This paper establishes optimal strong and weak convergence rates for slow-fast systems driven by multiplicative $\alpha$ -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.

Qiu-Chen Yang, Kun Yin2026-03-05🔢 math

Classification of Nottingham algebras

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.

M. Avitabile, A. Caranti, S. Mattarei2026-03-05🔢 math

Robinson Splitting Theorem and $Σ_1$ Induction

This paper establishes that a weakened version of the Robinson Splitting Theorem, where lowness is replaced by superlowness, holds within models of the theory $\mathrm{P}^-+\mathrm{I}\Sigma_1$ .

Yong Liu, Cheng Peng, Mengzhou Sun2026-03-05🔢 math

Non-Derivability Results in Polymorphic Dependent Type Theory

This paper establishes that in pure polymorphic dependent type theory ( $\lambda$ P2), parametric quotient types and strong coinduction principles are not definable, and that function extensionality is strictly necessary to prove induction principles, by constructing specific models where these principles fail.

Herman Geuvers2026-03-05🔢 math

Invariant measures and traces on groupoid $\mathrm{C}^\ast$ -algebras

This paper establishes sufficient conditions for the existence and uniqueness of traces on the essential and full $\mathrm{C}^\ast$ -algebras of (possibly non-Hausdorff) étale groupoids extending invariant measures, particularly linking uniqueness to essential freeness and amenability of isotropy groups, with applications to gauge-invariant algebras of finite-state self-similar groups.

Alistair Miller, Eduardo Scarparo2026-03-05🔢 math

Explicit p-adic Hodge theory for elliptic curves and non-split Cartan images

This paper classifies the $p$ -adic Galois images of elliptic curves over $\mathbb{Q}_p$ with mod $p$ non-split Cartan images using $p$ -adic Hodge theory, providing a novel algorithm for the potentially supersingular case and deriving global consequences for elliptic curves over $\mathbb{Q}$ that sharpen bounds on their adelic images.

Matthew Bisatt, Lorenzo Furio, Davide Lombardo2026-03-05🔢 math

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