3797 papers
This paper investigates BCH and LCD cyclic codes of length over finite fields by analyzing cyclotomic cosets to determine code dimensions, improve minimal distance bounds, establish conditions for dually-BCH codes when is odd, and enumerate all LCD cyclic codes, with some constructed codes proven to be optimal.
This paper constructs the parametrix for elliptic Gevrey pseudodifferential operators by establishing a Banach algebra structure for formal Gevrey symbols, which is then applied to derive estimates for adiabatic projectors in the Gevrey setting.
This paper constructs and proves the existence of an infinite sequence of strongly regular digraphs with parameters by utilizing block circulant matrices, polynomial arithmetic, and computational tools to derive explicit adjacency formulas and propose a conjecture regarding their automorphism groups.
This paper introduces a new notion of -chains for continuous-time semiflows inspired by the shadow-orbit property and proves that, for systems with strong compact dynamics, this definition generates the same chain-recurrent structure as Conley's classical -chains.
This paper rigorously establishes the low Mach number limit and derives explicit convergence rates for a three-dimensional viscous compressible two-fluid model with algebraic pressure closure, proving that its well-prepared strong solutions converge to the incompressible Navier–Stokes equations as the Mach number tends to zero.
This paper establishes that Tensor-Based Modulation (TBM) is a geometrically uniform coded modulation scheme derived from a non-binary linear block code over , demonstrating its algebraic structure through explicit generator matrix derivation and validating its robustness in both single-user and multi-user wireless channels.
The paper establishes that topological symplectic manifolds possess a canonical bi-Lipschitz structure, a result that yields the first known examples demonstrating both the non-existence and non-uniqueness of topological symplectic structures.
This paper introduces the concept of orthogonal decomposability for convex polytopes using orthogonal connectedness, analyzing its application to Platonic and Archimedean solids while identifying examples of polytopes that do not possess this property.
This paper extends a low-dissipation central upwind scheme, originally developed for Euler equations, to the ideal magnetohydrodynamics (MHD) system by combining a cell-centered hydrodynamic solver with a face-based constrained transport method for magnetic fields, thereby achieving enhanced contact wave resolution, second-order accuracy, and machine-precision divergence-free magnetic fields in one and two dimensions.
This paper characterizes positive surjective isometric Fourier multipliers on non-commutative -spaces of a locally compact group for , proving that such operators arise if and only if their symbols are locally almost everywhere equal to continuous characters of the group, thereby extending previous results from the unimodular to the general setting.
This paper presents a stabilizing output-feedback controller for monotone control systems that respects input constraints, proving that if a system is stabilizable with unconstrained controls and the equilibrium control lies within the constraint set's interior, a saturated controller also achieves stabilization.
This paper investigates the weak scalability of time parallel Schwarz methods for parabolic optimal control problems by developing novel theoretical tools to analyze convergence and spectral properties, thereby confirming the method's suitability for large-scale simulations on high-performance computing architectures.
This paper proves the conjectural correspondence between logarithmic Gromov-Witten and Donaldson/Pandharipande-Thomas theories for toric threefold pairs with singular boundaries, while also establishing new results such as the Laurent polynomial nature of capped vertices and verifying the logarithmic DT/PT conjecture.
This paper establishes the (co)completeness of the category of small categories () by explicitly constructing specific weighted colimits that are equivalent to the existence of the homotopy category functor, thereby providing a systematic elementary approach to justify these limits and reformulate constructions like coequalizers and localizations.
This paper proposes a consistent, moment-based Bayesian testing procedure using exponentially tilted empirical likelihood to detect endogeneity in linear regression models, demonstrating its effectiveness through simulations and real-world applications involving automobile and airline markets.
This paper establishes the existence and uniqueness of a constraint viscosity solution to the Hamilton-Jacobi-Bellman equation and investigates the solution properties of continuous-time heterogeneous agent models formulated as mean field games with recursive utility and a preference for late resolution of uncertainty.
This paper addresses the robust cooperative output regulation of discrete-time uncertain heterogeneous multi-agent systems by establishing global and local sufficient conditions for the existence and design of structured control gains, utilizing structured Lyapunov inequalities to derive linear matrix inequalities (LMIs) that enable both centralized and distributed controller synthesis.
This paper establishes that two homotopic smooth embeddings of a closed surface into a closed oriented 5-manifold are isotopic if they share a common algebraic dual 3-sphere or if the ambient manifold is simply connected, by introducing a new invariant defined via the manifold's homotopy groups that classifies such isotopy classes.
This paper extends previous research on Poincaré and logarithmic Sobolev inequalities for perturbed measures to investigate analogous results for weaker functional inequalities, including weak and weighted variants, with applications to convolution products.
This paper presents a proof of a Ramanujan identity by expressing it in polar coordinates, which reduces the verification to an elementary trigonometric identity and yields several variations of the original result.