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Topological and rigidity results for four-dimensional hypersurfaces in space forms

This paper establishes topological and rigidity results for four-dimensional hypersurfaces in five-dimensional space forms by characterizing isoparametric hypersurfaces via the Weyl tensor, deriving sharp bounds on the Weyl functional, estimating the second fundamental form in terms of the Euler characteristic, and proving rigidity through integral inequalities, with extensions to locally conformally flat ambient spaces.

Davide Dameno, Aaron J. Tyrrell2026-03-05🔢 math

A variational principle for holomorphic correspondences

This paper establishes a variational principle for holomorphic correspondences on the Riemann sphere by defining their measure-theoretic entropy and using it to formulate the pressure of continuous functions, analogous to the theory for continuous maps on compact metric spaces.

Subith Gopinathan, Shrihari Sridharan2026-03-05🔢 math

A successive difference-of-convex method for a class of two-stage nonconvex nonsmooth stochastic conic program via SVI

This paper proposes a successive difference-of-convex method that leverages Moreau envelopes and the progressive hedging algorithm to solve a class of challenging two-stage nonconvex nonsmooth stochastic conic programs by reformulating them as nonmonotone nonsmooth stochastic variational inequalities, with theoretical convergence guarantees and numerical validation via an extended Markowitz model.

Chao Zhang, Di Wang2026-03-05🔢 math

Linear codes arising from geometrical operation

This paper constructs linear codes over finite fields from arbitrary simplicial complexes by linking their topological properties to coding parameters, enabling the explicit control of code metrics through geometric operations and the creation of optimal binary codes.

Antonio Jesús Lorite López, Daniel Camazón Portela, Juan Antonio López Ramos2026-03-05🔢 math

Equi-Baire One Families of Möbius Transformations and One-Parameter Subgroups of $\mathrm{PSL}(2,\mathbb{C}$ )

This paper investigates the Equi-Baire one property for families of Möbius transformations, demonstrating that iterates of loxodromic maps form such a family on their attracting basins and establishing that a one-parameter subgroup satisfies this condition on all compact sets if and only if it is relatively compact in $\mathrm{SL}(2,\mathbb{C})$ .

Sandipan Dutta, Vanlalruatkimi, Jonathan Ramdikpuia2026-03-05🔢 math

The projected isotropic normal distribution with applications in neuroscience

This paper investigates the projected isotropic normal distribution, deriving new properties and practical approximations for its mean resultant statistic to facilitate phase-based analysis of EEG signals recorded during flash stimulation.

Kanti V. Mardia, Antonio Mauricio F. L. Miranda de Sa'2026-03-05🔢 math

Existence of the minimal model program for log canonical generalized pairs

This paper establishes the existence of the minimal model program for arbitrary log canonical generalized pairs by introducing linearly decomposable pairs as a substitute for rational decompositions and proving the existence of flips without relying on the klt, NQC, or $\mathbb{Q}$ -factoriality conditions.

Zhengyu Hu, Jihao Liu2026-03-05🔢 math

Graphs, Axial Algebras and their Automorphism Groups

This paper introduces a class of algebras derived from labeled directed graphs, establishes their properties as axial algebras with specific fusion laws and simplicity, and demonstrates that any group can be realized as the automorphism group of infinitely many such simple algebras.

Hans Cuypers2026-03-05🔢 math

Cobordism-valued intersection theory on $\overline{\mathcal{M}}_{0,n}$

This paper refines the string equation on $\overline{\mathcal{M}}_{0,n}$ from the Chow ring to algebraic cobordism to derive inductive formulas for cobordism-valued psi-class intersections and explicit classes up to $n=8$ , including their images in $K$ -theory.

Benjamin Ellis-Bloor2026-03-05🔢 math

Linearized Stability of Non-Isolated Equilibria of Quasilinear Parabolic Problems in Interpolation Spaces

This paper establishes the linearized stability of non-isolated equilibria for quasilinear parabolic problems within interpolation spaces, utilizing a flexible approach with low regularity requirements on the semilinear term to extend previous maximal regularity results and apply to concrete models like the Hele-Shaw problem and fractional mean curvature flow.

Bogdan-Vasile Matioc, Christoph Walker2026-03-05🔢 math

Advances in List Decoding of Polynomial Codes

This book surveys recent significant advances in the list decoding of Reed-Solomon and related polynomial-based codes, highlighting developments that achieve information-theoretic capacity with optimal list sizes using efficient, nearly-linear, and sublinear-time algorithms.

Mrinal Kumar, Noga Ron-Zewi2026-03-05🔢 math

Steady State Distribution and Stability Analysis of Random Differential Equations with Uncertainties and Superpositions: Application to a Predator Prey Model

This paper presents a Monte Carlo-based computational framework to analyze the steady-state distributions and stability of random differential equations with uncertain, multi-modal parameters, demonstrating its efficacy through a Rosenzweig-MacArthur predator-prey model that reveals complex, multi-modal equilibrium behaviors.

Wolfgang Hoegele2026-03-05🔢 math

Optimal convergence of local discontinuous Galerkin methods for convection-diffusion equations

This paper bridges the gap between theoretical estimates and numerical evidence for the $hp$ local discontinuous Galerkin method applied to convection-diffusion equations by establishing new approximation results for Gauss-Radau projections, thereby proving optimal convergence rates even for solutions with limited spatial regularity.

Wenjie Liu, Ruiyi Xie, Li-Lian Wang + 1 more2026-03-05🔢 math

Topological-numerical analysis of global dynamics in the discrete-time two-gene Andrecut-Kauffman model

This paper employs rigorous topological-numerical methods, specifically Morse decomposition and Conley index computations, to analyze the global dynamics of a discrete-time two-gene Andrecut-Kauffman model, revealing complex phenomena such as multistability and chaotic attractors across a wide range of parameters.

Dorian Falęcki, Mikołaj Rosman, Michał Palczewski + 2 more2026-03-05🔢 math

A criterion for modules over Gorenstein local rings to have rational Poincaré series

This paper establishes that modules over specific classes of Gorenstein local rings, including those where $R/\soc(R)$ is a Golod ring or the square of the maximal ideal is generated by at most two elements, possess rational Poincaré series with a common denominator, thereby confirming the Auslander-Reiten conjecture for these rings and providing new proofs for existing results on compressed and low codepth rings.

Anjan Gupta2026-03-05🔢 math

Hoffman colorability of graphs with smallest eigenvalue at least -2

This paper extends the characterization of Hoffman colorability to all connected graphs with smallest eigenvalue at least $-2$ by classifying generalized line graphs and exceptional graphs, while identifying 29 maximal exceptional graphs and 39 maximal $E_7$ -representable graphs.

Bart De Bruyn, Thijs van Veluw2026-03-05🔢 math

Asymptotics for face numbers of certain Hanner polytopes, with applications

This paper establishes asymptotic formulas for the face numbers of a specific family of Hanner polytopes, a result that nearly saturates the FLM inequality for a corresponding set of parameters.

Tomer Milo2026-03-05🔢 math

The variety of group actions on all algebraic real hyperbolic spaces

This paper establishes the compactness of a character variety classifying continuous group actions on algebraic real hyperbolic spaces of arbitrary dimension, unifying previous compactifications and proving rigidity results for irreducible representations via the introduction of algebraic and abstract cross-ratios.

Bruno Duchesne, Christopher-Lloyd Simon2026-03-05🔢 math

Liouville phenomenon for the Klein-Gordon equation

This paper investigates the one-dimensional Klein-Gordon equation and demonstrates that in spacelike quarter-planes, solutions exhibiting insufficient growth satisfy a Liouville phenomenon where their values on the two linear edges are uniquely determined by one another, analogous to classical theorems for harmonic functions.

Haakan Hedenmalm2026-03-05🔢 math

Catching jumps of metric-valued mappings with Lipschitz functions

This paper demonstrates that while a continuous map into a metric space is of bounded variation if and only if its composition with every Lipschitz function is of bounded variation, this characterization fails for discontinuous maps in spaces like $\ell_2$ , infinite metric trees, and Laakso-type spaces, though it remains valid for ultrametric spaces without continuity assumptions.

Dmitriy Stolyarov, Alexander Tyulenev2026-03-05🔢 math

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