4591 papers
This paper classifies differential operators between spaces of weighted densities in the superdimension setting, effectively superizing a previous result on modular forms and identifying open problems in the field.
This paper establishes the uniqueness of coefficients in a doubly nonlinear parabolic equation by reducing the problem to an elliptic inverse problem, where the conductivity is recovered via asymptotic expansions of the Dirichlet-to-Neumann map and the remaining potential is determined through linearization.
This paper establishes the optimal loss exponent for context-sensitive binary hypothesis testing of i.i.d. observations under a multiplicative weight function by characterizing it as a weighted Chernoff information derived from the maximization of a log-normalizer within an exponential family of weighted geometric mixtures.
This paper introduces a variational framework based on the even-odd decomposition of support functions to define geometrically interpretable size-location correlation measures for set-valued processes, establishing their statistical properties under -mixing and enabling the analysis of dependence structures that are inaccessible to traditional point-based or selection-based methods.
This paper presents a neurosymbolic collaboration between an LLM-powered agent, symbolic computation tools, and human researchers that successfully discovered and formally verified a new tight lower bound on the imbalance of Latin squares for the case , demonstrating the potential of AI-human partnerships in pure mathematical discovery.
This paper introduces SGRAND-ISI and its practical ORBGRAND variants, which leverage error bursts and sequence reliability to extend the GRAND decoding paradigm to linear Gaussian intersymbol interference channels, achieving near-optimal performance with significantly lower complexity than existing memory-aware alternatives.
This paper employs a Riemannian approximation scheme to derive explicit formulas for horizontal curvatures and symplectic distortion of surfaces in 3D contact sub-Riemannian Lie groups, specifically classifying surfaces of revolution with constant curvatures in the Heisenberg and affine-additive groups.
This paper clarifies that the invariance of -theory under duality is a purely formal property, contrasting it with the non-formal nature of the general statement for arbitrary localizing invariants, and provides a counterexample to the claim that the universal localizing invariant is invariant under taking opposite categories.
This paper proposes a unified multi-axis concentration modulation framework (MAxCM) and its ratio-based subclass (MAxRSK) to enhance spectral efficiency and error performance in mobile molecular communication systems by enabling robust, channel-independent decoding in dynamic environments.
This paper establishes a Barta-type formulation for the -Laplacian on Riemannian manifolds to derive sharp lower bounds for the -fundamental tone without boundary regularity assumptions, leading to nonlinear extensions of classical spectral comparison theorems and geometric characterizations for minimal immersions.
This paper proposes a d-dimensional generalization of the Kuramoto model on matrix-weighted networks, deriving necessary conditions for global synchronization and proving via a Master Stability Function approach that the synchronous solution is locally stable for any positive coupling strength on connected networks.
This paper establishes the limiting spectral distribution of Kendall's correlation matrices in moderately high-dimensional settings with independent but non-identically distributed observations, demonstrating how distributional heterogeneity affects the spectrum and proposing a graphical tool to avoid spurious dependence detection.
This paper derives explicit formulas for the dual Drazin inverse of dual complex anti-triangular block matrices and applies these results to solve open problems and extend existing group inverse findings for the adjacency matrices of DN-DS, DN-DLS, and DN-DW digraphs.
This paper investigates the point spectrum of periodic quantum trees with delta-type vertex conditions, establishing analogs to discrete results while demonstrating that, unlike the discrete case, regular quantum periodic trees can possess eigenvalues, though these can be eliminated by arbitrarily small adjustments to edge lengths.
Assuming Schanuel's conjecture, this paper proves that the complete theory of the real exponential field is axiomatized by definably complete exponential fields satisfying , thereby establishing its decidability and relying on the unconditional model completeness of the exponential function restricted to .
This paper proposes the Proximal Riemannian Gradient EXTRA (PR-EXTRA) algorithm, a loopless distributed optimization method for composite problems on compact manifolds that achieves an sublinear convergence rate using only single-round communication per iteration.
This paper establishes the local well-posedness of the quartic Zakharov-Kuznetsov equation on for all Sobolev regularities by leveraging recent bilinear smoothing and linear Strichartz-type estimates.
This paper proves that for integer parameters , the -Brjuno function attains its unique global minimum at the fixed point , demonstrates the local stability of these minimizers for near , and proposes a conjecture regarding phase transitions in the minimizer's location as varies.
This paper generalizes the 2025 triplication method for constructing strong starters in by expanding the definition of triplication tables and broadening the associated Sudoku-type problem formulation, thereby eliminating the previous restriction that must not be divisible by 3 and enabling the construction of strong starters for any odd order $3m$.
This paper improves the known threshold for the flexibility of isometric immersions of -dimensional Riemannian metrics into by proving that any short immersion can be approximated by such immersions for when , utilizing a refined convex integration scheme with enhanced iterative integration by parts.