7425 papers
This paper establishes the relationship between the generalized circular projected Cauchy distribution and the wrapped Cauchy distribution, proposes a log-likelihood ratio test for comparing two angular means without assuming equal concentration parameters, and evaluates the test's performance through simulations when the underlying distribution is incorrectly assumed to be wrapped Cauchy.
This paper establishes simple sufficient conditions for the rapid stabilization of general linear systems with a Riesz basis of eigenvectors by employing an -equivalence approach via Fredholm transformations, thereby proving that such systems can be transformed into exponentially stable systems with arbitrarily large decay rates and improving existing results for non-parabolic operators.
This paper presents a concise new proof of Van der Waerden's Theorem using algebra in the compact space of ultrafilters , distinguishing itself from existing proofs by avoiding the use of minimal or idempotent ultrafilters.
This paper provides a rigorous generalization of Rosenbloom and Tsfasman's algebraic-geometric codes to arbitrary genus curves by defining differential Goppa codes via -jets and Hasse-Schmidt derivatives, analyzing their structural properties and distance variations, and establishing that they encompass all linear codes on while strictly generalizing classical Goppa codes.
This paper establishes that localization operators on weighted Bergman spaces converge weakly to those on Fock spaces under natural scaling as the parameter , a result leveraged to derive sharp norm estimates for Toeplitz operators, analyze windowed Berezin transforms, and prove Szegő-type theorems.
This paper proposes a robust adaptive reformulation of an entropy-inspired KKT-based convergence indicator, utilizing quantile normalization to effectively assess stationarity in multi-objective optimization without relying on external reference sets.
This paper proposes a novel semi-implicit numerical scheme based on a stochastic scalar auxiliary variable (SSAV) reformulation for the stochastic Cahn--Hilliard equation with multiplicative noise, which incorporates Itô correction terms to achieve optimal strong convergence of order one-half while preserving the energy evolution law.
This paper extends the characterization of signed graphs with exactly two main eigenvalues from the case where the associated multigraph has a tree base to the case where the base graph is unicyclic, concluding with several proposed open problems.
This paper investigates the relative impact of inventory replenishment policies versus real-time online fulfillment algorithms on system profit under demand uncertainty, demonstrating that cumulative regret remains stable over long cycles and introducing a novel look-ahead algorithm that outperforms myopic baselines while identifying specific regimes where optimizing one lever yields greater revenue gains than the other.
This paper establishes that if a variety of algebras satisfies a strong form of the Eklof-Mekler-Shelah Construction Principle, then almost all of its AEC-coverings of free objects are unsuperstable, with specific applications to -modules and groups.
This paper establishes sharp estimates for single-scale, full, and lacunary bilinear Nevo-Thangavelu spherical maximal operators on the Heisenberg group () by employing newly developed single-scale average estimates, Hopf's maximal ergodic theorem, and an adapted argument.
This paper proves that the empirical spectral distribution of the normalized Laplacian for linear preferential attachment graphs in the Barabási-Albert regime converges weakly in probability to a deterministic measure on [0, 2], which is characterized by the expected diagonal Green function of the associated Pólya-point graph using a combination of resolvent methods, random-walk representations, and concentration inequalities.
This paper introduces a Riemannian gradient method with momentum that extends a recent unconstrained optimization technique, proving an worst-case complexity bound for finding -stationary points and demonstrating competitive performance against state-of-the-art solvers through extensive numerical experiments.
This paper establishes unweighted Hardy-type inequalities on step-two Carnot groups with one-dimensional vertical layers by employing a quantitative integration-by-parts mechanism that substitutes the non-horizontal Euler vector field with a controlled horizontal one, yielding explicit optimal constant bounds for the Heisenberg group and generalized non-isotropic structures.
This paper investigates the Wasserstein gradient flow of semi-discrete energies relevant to urban planning and uniform quantization by proving the convergence of the JKO scheme to a singularly coupled PDE-ODE system, analyzing its qualitative properties such as atomic convergence to Laguerre cell barycenters, and validating these findings through numerical simulations that reveal dynamic crystallization phenomena.
This paper establishes a rigorous Lyapunov stability framework for a stochastic drift-diffusion model in multi-objective optimization and provides a reproducible Python implementation, demonstrating that while the method may underperform in low-dimensional settings, it offers a mathematically tractable and viable alternative for high-dimensional problems with restricted evaluation budgets.
This paper presents a method to guarantee that the Jacobian of a smooth curve has a strictly positive Mordell-Weil rank by proving that such a rank exists whenever the curve possesses a rational degree 1 divisor class but lacks rational non-trivial 2-torsion and rational theta characteristics.
This paper establishes the well-posedness of reflected stochastic partial differential equations in infinite-dimensional domains under a fully local monotone framework, utilizing a key variational inequality to generalize results for various important models including stochastic Allen-Cahn, p-Laplacian, Cahn-Hilliard, and 3D tamed Navier-Stokes equations.
This paper establishes optimal regularity and provides a complete characterization of higher-order expansions for solutions to linear kinetic Fokker-Planck equations near the grazing set in bounded domains, significantly improving upon previous results that only guaranteed low-order Hölder continuity.
This paper investigates and compares the properties of q-Narayana polynomials specifically at the values and .