2666 papers
This paper establishes Lipschitz stability for the simultaneous recovery of a variable density coefficient and initial displacement in a damped biharmonic wave equation by proving the forward problem's well-posedness via contraction semigroups and deriving explicit stability estimates that highlight the enhanced stability provided by the biharmonic structure and its dependence on the damping coefficient.
This paper constructs smooth affine algebras of dimension over an algebraically closed field of characteristic zero that admit nontrivial projective modules of rank with trivial total Chern classes, thereby demonstrating the existence of nontrivial vector bundles whose topological invariants vanish.
This paper constructs a transitive symmetric model of ZF + DC + PP + AC_wo + ¬AC by performing an Ord-length countable-support symmetric iteration over a Cohen seed model, utilizing a diagonal-lift scheme and Ryan–Smith localization to separate the partition principle from the axiom of choice while preserving dependent choice and the non-well-orderability of a specific set.
This paper establishes the existence and uniqueness of solutions to backward stochastic differential equations driven by G-Brownian motion under time-varying monotonicity and Lipschitz conditions by utilizing the Yosida approximation method.
This paper introduces the Pretrained Finite Element Method (PFEM), a framework that combines a physics-informed neural operator pretraining stage with a conventional FEM warm-start stage to achieve highly efficient and accurate solutions for partial differential equations across complex geometries and material properties.
This paper analyzes the finite sampling map for free-tail canonical systems, establishing that while local identifiability and inversion are achievable for specific finite-dimensional families via a weighted Fourier-Laplace linearization, the full free-tail class suffers from nontrivial first-order invisible directions at the free Hamiltonian that preclude any local inverse-Lipschitz estimate.
This paper investigates multidimensional elephant random walks with stops and random step sizes, establishing key convergence results such as the law of large numbers, the law of the iterated logarithm, and the central limit theorem for the number of moves using martingale methods.
This paper introduces a stratification framework for nonlinear semidefinite programming that leverages the geometry of nonsmooth KKT systems to establish new regularity conditions and develop a globally convergent Gauss–Newton algorithm with local quadratic convergence.
This paper characterizes the nuclearity of Toeplitz operators between Fock spaces and with Borel measure symbols, establishing necessary and sufficient conditions via the Berezin transform for the case while demonstrating that separate conditions are required when .
This paper introduces Probability Matching Interval Coding (PMATIC), a model-agnostic algorithm that enables robust, high-performance lossless compression by tolerating bounded prediction mismatches between compressor and decompressor in deep learning-based systems.
This paper establishes a framework for limit-stage filter constructions in countable-support symmetric iterations that ensures the resulting models satisfy ZF and Dependent Choice, enabling the controlled construction of models where the Axiom of Choice fails for specific families of sets while preserving DC.
This paper provides a self-contained analytic proof of the continued fraction identity by transforming the classical Gauss continued fraction for evaluated at and demonstrates its super-exponential convergence advantage over the Gregory–Leibniz series.
This paper derives a new closed-form formula for the characteristic function of the asymmetric Student's -distribution by establishing a novel integral representation involving the sine function and the exponential integral, which subsequently yields a closed-form expression for a specific limit involving modified Bessel and Struve functions.
This paper confirms the Bader-Kropholler-Vankov conjecture by proving that homological filling functions over a ring with a discrete norm are quasi-isometry invariants for all groups of type , utilizing a novel technique of equipping free chain complexes with geometric structures to extend cellular constructions to the algebraic setting.
This paper generalizes and improves upon existing results regarding the asymptotic behavior of the sum of the -th powers of the -th normalized Fourier coefficients of the -th symmetric power -functions for primitive holomorphic cusp forms, specifically for positive integers and satisfying .
This paper establishes a hydrodynamic limit for a multiscale stochastic compartmental model of hematopoiesis, proving that the dynamics of stem, immature, and mature cells converge to a deterministic system of partial differential equations with boundary conditions as the number of immature compartments approaches infinity.
This paper resolves the isomorphism problem for reduced finitary power monoids of cancellative monoids by proving that if one monoid is torsion, the power monoids are isomorphic if and only if the base monoids are, thereby confirming the result for torsion groups while leaving the general group case open.
This paper introduces a novel, exactly solvable ordinary differential equation model incorporating an Allee effect to study rate-induced tipping, featuring finite-time extinction, a derived integral inequality for tipping conditions, a superior numerical method, and a practical application to the historical rise and fall of Japanese inland fisheries.
This paper establishes an equivalence between a conjecture by Neumann and Praeger concerning Kronecker classes in algebraic number fields and a separate conjecture regarding cliques in derangement graphs within combinatorics.
This paper establishes the global rigidity of hyperbolic inversive distance circle packings on the 2-sphere, and equivalently of Koebe polyhedra in the Beltrami-Klein model, under mild assumptions on vertex links, thereby generalizing previous rigidity results and the uniqueness part of the Koebe-Andreev-Thurston Theorem to cases where adjacent circles need not touch.