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Representations of shifted super Yangians and finite $W$ -superalgebras of type A

This paper investigates the representation theory of shifted super Yangians and finite $W$ -superalgebras of type A by establishing a criterion for the finite dimensionality of irreducible modules, deriving an explicit Gelfand-Tsetlin character formula for Verma modules, and proving that the centers of these algebras associated with even nilpotent elements are isomorphic to the center of the universal enveloping superalgebra.

Kang Lu, Yung-Ning Peng2026-03-10🔢 math

Fundamental Groups of Genus-$0$ Quadratic Differential Strata via Exchange Graphs

This paper utilizes exchange-graph techniques and weighted mixed-angulations to derive explicit presentations of the fundamental groups for genus-zero strata of meromorphic quadratic differentials, generalizing known relations to include higher-order zeroes.

Jeonghoon So2026-03-10🔢 math

Topological, metric and fractal properties of one family of self-similar sets

This paper investigates the topological, metric, and fractal properties of a specific family of homogeneous self-similar sets $K_l$ parameterized by $l$ , proving that each set is a Cantorval with a non-empty interior and fractal boundary, while also determining its Lebesgue measure and the Hausdorff dimension of its boundary.

Dmytro Karvatskyi2026-03-10🔢 math

Subnormality of the quotients of $\mathbb T^d$ -invariant Hilbert modules

This paper investigates the subnormality of quotients of $\mathbb T^d$ -invariant Hilbert modules by homogeneous polynomials, establishing that such quotients are subnormal only if the polynomial is square-free and of degree at most one for standard spaces like the Hardy and Drury-Arveson modules, while also demonstrating that higher-degree examples exist for specific invariant modules like the Dirichlet module.

K. S. Amritha, S. Bera, S. Chavan, S. S. Sequeira2026-03-10🔢 math

Validity of the Strong Version of the Union of Uniform Closed Balls Conjecture in the Plane

This paper proves the validity of the strong version of the union of uniform closed balls conjecture in the plane.

Chadi Nour, Jean Takche2026-03-10🔢 math

Local Laplacian: theory and models for data analysis

This paper introduces the persistent local Laplacian formalism, a theoretically grounded and highly parallelizable framework that overcomes the sensitivity and scalability limitations of traditional topological data analysis by establishing a generalized persistent Hodge isomorphism and unitary equivalence to efficiently extract fine-grained local structural signatures from large-scale datasets.

Jian Liu, Hongsong Feng, Kefeng Liu2026-03-10🔢 math

Peacock's Principle as a Conservative Strategy

This paper argues that Peacock's principle of permanence was not invalidated by Hamilton's non-commutative algebras, but rather correctly understood as a conservative strategy—rooted in Hume's philosophy—that permits exceptions like non-commutativity only when the reasons for violating established laws of reasoning outweigh the reasons for preserving them.

Iulian D. Toader2026-03-10🔢 math

Proceedings Eighth International Conference on Applied Category Theory

This paper presents the proceedings of the Eighth International Conference on Applied Category Theory (ACT2025), held at the University of Florida in June 2025, which featured a diverse collection of contributions spanning pure and applied disciplines such as computer science, quantum computation, and chemistry.

Amar Hadzihasanovic (Tallinn University of Technology), Jean-Simon Pacaud Lemay (Macquarie University)2026-03-10🔢 math

On the 2-Linkage Problem for Split Digraphs

This paper resolves a problem posed by Bang-Jensen and Wang by proving that every 6-strong split digraph is 2-linked, and further establishes that every 5-strong semicomplete split digraph is 2-linked, a bound shown to be tight.

Xiaoying Chen, Jørgen Bang-Jensen, Jin Yan, Jia Zhou2026-03-10🔢 math

Inverse Robin Spectral Problem for the p-Laplace Operator

This paper investigates an inverse Robin spectral problem for the nonlinear $p$ -Laplace operator by establishing a thin-coating asymptotic limit, proving the uniqueness of the Robin coefficient via linearization and unique continuation, and deriving a conditional local Hölder-type stability estimate.

Farid Bozorgnia, Olimjon Eshkobilov2026-03-10🔢 math

Existence, Sharp Boundary Asymptotics, and Stochastic Optimal Control for Semilinear Elliptic Equations with Gradient-Dependent Terms and Singular Weights

This paper establishes the existence, uniqueness, and sharp boundary asymptotics of large solutions to semilinear elliptic equations with gradient-dependent terms and singular weights, while also proving their strict convexity and identifying them as value functions for infinite-horizon stochastic optimal control problems.

Dragos-Patru Covei2026-03-10🔢 math

Explicit affine formulas for distances between tuples in classical discrete structures

This paper answers a question posed by Ben Yaacov, Ibarlucía, and Tsankov by demonstrating an explicit construction of an affine formula using $\lceil \log_2 n \rceil$ quantifier alternations to calculate distances between $n$ -tuples in $\{0,1\}$ -valued $\varnothing$ -structures.

Arthur Molina-Mounier2026-03-10🔢 math

Regularization of Hyperbolic Stochastic Partial Differential Equations By Two Fractional Brownian Sheets

This paper establishes the existence and uniqueness of strong solutions for a stochastic differential equation driven by the sum of two correlated fractional Brownian sheets with distinct Hurst parameters, demonstrating that the additive noise regularizes the system to ensure well-posedness even under weak drift assumptions.

Rachid Belfadli, Youssef Ouknine, Ercan Sönmez2026-03-10🔢 math

On algebro-geometric solutions to the Gelfand--Dickey hierarchy

This paper presents a simple construction of algebro-geometric solutions to the Gelfand–Dickey hierarchy using an $A_n$ -type infinite ODE system and Dubrovin's method, while also deriving a formula for the $N$ -point function of the associated Riemann $\theta$ -function.

Zejun Zhou2026-03-10🔢 math

Sign-changing solutions for a Yamabe type problem

This paper establishes the existence of sign-changing solutions to a critical elliptic equation involving a Yamabe type operator on a compact manifold with boundary, contingent upon specific geometric conditions.

Mohamed Bekiri, Mohammed Elamine Sebih2026-03-10🔢 math

Oscillatory Interference in Dirichlet L-Functions and the Separation of Primes

This paper constructs simplified oscillatory reconstructions based on the nontrivial zeros of Dirichlet L-functions to visualize how interference patterns act as analytic filters that separate primes into congruence classes, thereby providing a visual bridge between the zero distributions of L-functions and the algebraic structure of cyclotomic fields.

Jouni J. Takalo2026-03-10🔢 math

Extreme value theorem for geodesic flow on the quotient of the theta group

This paper establishes an extreme value theorem for the geodesic flow on the hyperbolic surface associated with the theta group by introducing a spliced continued fraction algorithm, proving its dynamical equivalence to the flow's first return map, and deriving a Galambos-type extreme value law for maximal cusp excursions via spectral analysis of the transfer operator.

Jaelin Kim, Seul Bee Lee, Seonhee Lim2026-03-10🔢 math

Why does entropy drive evolution equations?

This paper demonstrates that entropy acts as a driving force in various evolution equations because it characterizes the invariant measure of an underlying stochastic process, thereby unifying diverse examples from stochastic processes, gradient flows, and GENERIC systems under a single principle.

Mark A. Peletier2026-03-10🔢 math

Group-Sparse Smoothing for Longitudinal Models with Time-Varying Coefficients

This paper proposes TV-Select, a unified framework that simultaneously identifies relevant variables and distinguishes between constant and time-varying effects in longitudinal models by employing a doubly penalized B-spline approach with group Lasso and roughness penalties to achieve accurate structural recovery, smooth estimation, and improved predictive performance.

Yu Lu, Tianni Zhang, Yuyao Wang, Mengfei Ran2026-03-10🔢 math

Rough differential equations driven by TFBM with Hurst index $H\in (\frac{1}{4}, \frac{1}{3})$

This paper establishes the existence and uniqueness of solutions to rough differential equations driven by tempered fractional Brownian motion with Hurst index $H \in (\frac{1}{4}, \frac{1}{3})$ by canonically lifting the noise to a geometric rough path and employing a Doss-Sussmann transformation combined with a greedy stopping time sequence, while also deriving quantitative growth bounds for the solutions.

Lijuan Zhang, Jianhua Huang2026-03-10🔢 math

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Representations of shifted super Yangians and finite WWW-superalgebras of type A