3729 papers
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.
This paper establishes variational principles for pressure functions in discrete nonautonomous dynamical systems on compact metric spaces by applying methods from convex analysis to the thermodynamical formalism.
This paper develops an explicit invariant calculus for noncommutative linear differential operators using noncommutative Bell polynomials to derive universal formulas for gauge-covariant Wilczynski invariants and their projective counterparts, subsequently globalizing the framework to construct modular and Siegel modular differential operators on Riemann surfaces.
This paper establishes the existence of solutions for a class of integro-differential equations involving the difference between Laplacian and bi-Laplacian operators in unbounded domains by applying fixed point techniques and solvability conditions for non-Fredholm elliptic operators.
This paper partially answers Genevois's question regarding when hyperbolic graph braid groups arise as 3-manifold groups by demonstrating that is a 3-manifold group while for is not even quasi-isometric to one.
This paper presents a highly symmetric 6-dimensional polytope whose antipodal quotient yields a 24-vertex triangulation of , conjectured to be minimal, while also providing improved 45- and 49-vertex triangulations for .
This paper introduces combinatorics on words through the lens of low factor complexity in infinite words, exploring their minimal complexity, formalizing non-triviality, and presenting new algebraic proofs and consequences for classical theorems by Morse, Hedlund, and Tijdeman.
This paper generalizes the Micro-Transit Zoning Problem to incorporate a global budget and proposes an efficient Column Generation framework with pricing heuristics that outperforms existing enumeration-based approaches in solution quality and scalability across major U.S. cities.