7425 papers
This paper proves the existence of closed embedded minimal hypersurfaces with topology in by constructing them via a generalized rotational ansatz from any isoparametric hypersurface , thereby extending known minimal hypertori examples to a broader class of topologies.
This paper proposes a unified co-optimization framework for utility-scale off-grid renewable power-to-hydrogen systems that coordinates heterogeneous electrolyzers and other resources to maximize hydrogen production while ensuring frequency security through a novel system-level response model and stage-wise transient constraints.
This paper completes the classification of measures on Cameron's elementary treelike Fraïssé classes by establishing a bijection for -colored rooted binary trees that yields infinite families of novel semisimple tensor categories with superexponential growth, while simultaneously proving the nonexistence of such measures on -colored and labeled tree classes for .
This paper introduces the "little -function" as a degenerate limit of Zwegers' generalized -function, deriving it via -Borel summation of a divergent solution to the Ramanujan difference equation and establishing its key properties, including symmetries, connection formulas, and relations to -Fibonacci sequences and the Rogers-Ramanujan continued fraction.
This paper proposes an SEIRV epidemic model with relapse and intervention to analyze malware propagation dynamics, establish stability conditions, identify key influencing parameters, and optimize cost-effective control strategies using a hybrid gradient-based framework calibrated with real-world infection data.
This paper proposes a tractable, infinite-dimensional framework for assessing the long-term environmental impact of long-memory processes, such as benthic algae blooms, by formulating the problem as a solvable extended Hamilton-Jacobi-Bellman system that incorporates model uncertainty and nonexponential discounting.
The paper establishes that the number of compact, essential, orientable, non-isotopic surfaces with a fixed Euler characteristic embedded in a finite-volume hyperbolic 3-manifold is bounded by a polynomial function of the manifold's volume, where the degree of the polynomial depends linearly on the absolute value of the Euler characteristic.
This paper demonstrates that any non-adaptive -query relaxed locally decodable code (RLDC) with sufficiently small soundness error can be converted into a standard -query locally decodable code (LDC) with comparable parameters, thereby generalizing previous separation results and yielding improved lower bounds for RLDCs, relaxed locally correctable codes (RLCCs), and probabilistically checkable proofs of proximity (PCPPs).
This paper derives the small ball probability for the collision local time of two independent symmetric -stable processes (with parameters satisfying ) by analyzing the asymptotic behavior of their moment generating function via contour integration.
This paper determines the nonemptiness and classifies the genera of isomorphism classes of polarized superspecial abelian varieties over with specific Frobenius and polarization kernel conditions by reducing the problem to the arithmetic study of hermitian lattices.
This paper characterizes the matrix polynomials and that satisfy a specific norm inequality and those for which the corresponding operator embedding is compact on bounded open sets.
This paper extends Masur and Minsky's result on the quasi-isometry between Teichmüller space and the curve graph to the -multicurve graph by electrifying the space along regions of small extremal length for curves, utilizing a new distance bound derived from intersection numbers.
This paper establishes a short exact sequence relating the differential fundamental groupoids of a smooth family of varieties to its base and relative components, proving that for families of curves of genus at least 1, the resulting maps are isomorphisms that interpret Gauss-Manin connections via group cohomology and demonstrate that the total space becomes a de Rham after shrinking.
This paper demonstrates that kernel smoothed estimators for multi-index models equipped with large bandwidth matrix elements naturally overcome the curse of dimensionality by achieving optimal convergence rates determined by the effective dimension rather than the total number of variables, even without explicitly eliminating irrelevant predictors.
This paper classifies the finite-dimensional irreducible representations of the restricted super Yangian and the restricted truncated shifted super Yangian associated with the general linear Lie superalgebra over an algebraically closed field of characteristic .
This paper introduces and establishes the equivalence of various notions of boundedness and continuity for multilinear functionals and functions on n-normed spaces, demonstrating that these concepts yield identical dual spaces with equivalent norms while providing illustrative examples and exploring the relationship between bounded multilinear functionals and multicontinuous functions.
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.
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.
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.
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.