4673 papers
This paper establishes a detailed equivalence between semilinear elliptic PDEs with isolated singularities and stationary nonlinear Schrödinger equations with point interactions in dimensions two and three, enabling the application of variational methods to prove the existence of infinitely many singular and nodal solutions.
This paper investigates the WELLDOC property, an abelian-type characteristic of infinite words concerning the distribution of Parikh vectors of prefixes, and establishes a criterion for determining whether words generated by morphisms possess this property.
This paper proposes an operator-theoretic framework that encodes structural constraints via self-adjoint operators to unify gradient projection, spectral compression, and multi-objective feasibility under a single geometric structure, revealing how constraints distort ascent geometry and concentrate effective dynamics along dominant spectral modes.
This paper establishes the existence, uniqueness, and stability of solutions to the stochastic Benjamin-Bona-Mahony equation with multiplicative noise and derives optimal strong error estimates for a fully discrete finite element approximation under bounded noise, as well as sub-optimal convergence rates in probability for general noise via a localization technique.
Motivated by pseudo-Gorenstein rings, this paper introduces the concept of pseudo-Gorenstein graphs and classifies them within several natural graph families using independence polynomials.
This paper presents an almost purely combinatorial formula for Wilson loop expectations of the unitary Yang-Mills holonomy process on compact surfaces with arbitrary boundary conditions, expressing these expectations as a sum over highest weight assignments to curve complement components and applying this result to provide a concise proof of the Makeenko-Migdal equations.
This paper establishes two new Ramanujan-type congruences for the overpartition function modulo 11 and 13 using the theory of modular forms, while also conjecturing similar results for other prime moduli.
This paper investigates the growth rates, asymptotic behaviors, and Gauss congruences of Reidemeister and Nielsen coincidence numbers for endomorphisms of torsion-free nilpotent groups and maps on compact nilmanifolds, while also establishing the rationality of the Nielsen coincidence zeta function.
This paper introduces the novel concept of two-storage strict dissipativity to bridge the gap between storage functions and value functions in economic model predictive control, proving it as a necessary and sufficient condition for asymptotic stability while offering easier verification and new terminal cost designs.
This paper proposes a minimax-optimal estimator for varying coefficient models using truncated Laguerre series, establishing its asymptotic normality and finite-sample performance through theoretical analysis, simulations, and real-data applications.
This paper establishes a bijection between a generalization of tropical oriented matroids and subdivisions of root polytopes, which are sub-polytopes of a product of two simplices.
This paper establishes that for Bayesian inference of planted matchings between correlated 1D point sets under critical scaling, the posterior distribution admits a local approximation with a well-defined infinite-volume limit in the partial matching case, whereas the exact matching case requires global sorting and a flow-based indexing to define its asymptotic marginal statistics.
This paper revisits Maroni's functional-analytic framework to propose a unified classification of classical orthogonal polynomials on linear lattices that recovers all known families and Bochner's original results within a single dual-topological setting, thereby correcting historical oversights where algebraically equivalent families were treated as distinct or excluded.
This paper presents an algorithm to compute the image of the adelic Galois representation for elliptic curves over with complex multiplication (excluding -invariants 0 and 1728) and establishes new results regarding the entanglement of their division fields.
This paper proposes a stochastic geometry framework using both Poisson and beta-Ginibre point processes to analyze downlink EMF exposure and introduce a new Radiated Energy per Bit Transmitted metric, demonstrating that beta-GPP offers a more accurate model for real-world 5G multi-connectivity networks and highlighting the importance of energy-aware deployment strategies for sustainability.
This paper extends the study of resonance phenomena to doubly degenerate embedded eigenvalues by introducing a new concept utilizing the Morse Lemma to analyze rank-two self-adjoint perturbations of the Laplacian, thereby deriving asymptotic results for spectral density and characterizing key resonance properties such as sojourn time, scattering cross-section, and time delay.
This paper proposes a novel Bayesian framework that fuses monostatic and bistatic multipath measurements to achieve robust, high-accuracy low-altitude environment mapping under non-ideal surface conditions, overcoming the limitations of existing approaches that rely solely on bistatic specular reflections.
This paper investigates two-variable compressions of shifts associated with rational inner functions on the bidisk, establishing their unitary equivalence to matrix-valued Toeplitz operators and demonstrating that while these symbols almost uniquely determine the underlying functions, the numerical ranges of the compressed shifts do not.
This paper provides a new Archimedean proof of the Giampietro-Darmon conjecture regarding singular moduli on genus 0 Shimura curves by evaluating Green's functions at CM points, offering an alternative to Daas's previous -adic approach while highlighting the parallels and distinctions between the two methods.
This paper derives explicit asymptotic approximations for the right-tail probability of the product of independent normal random variables as the threshold tends to infinity, utilizing a boundary saddle-point method to establish formulas with relative error $1+O(x^{-1/n})$ that account for nonzero means and admissible sign patterns.