2549 papers
This paper establishes the equivalence between linear perfect zero-knowledge codes and quantum CSS codes, leveraging this connection to construct explicit asymptotically-good zero-knowledge locally-testable codes.
This paper extends the fundamental privacy-accuracy trade-off analysis for differentially private secure multiplication from two to an arbitrary number of multiplicands by proposing a framework based on encoding polynomials and layered noise injection that achieves improved estimation accuracy through systematic noise cancellation.
This paper characterizes the conditions under which sets of -Cohen, -Mathias, and -Sacks generics possess positive Hausdorff measure, establishing that the measure is positive if and only if the gauge function is not dominated by (for Cohen generics) or eventually dominates (for Mathias and Sacks generics) every element in the Turing ideal .
This paper proves that for a product manifold where has constant positive scalar curvature, the subcritical Yamabe equation admits -peak positive solutions for any when is sufficiently small, provided the scalar curvature of is constant or a specific dimensional constant vanishes and is a stable critical point of a curvature-dependent function.
This paper establishes a universal inequality for discrete cumulative Riemann sums of decreasing functions, demonstrating that the bound arises from a distribution-free continuous identity and unifying its interpretation through Riemann sums, Abel summation, and majorization theory.
This paper proposes a differential space-time block coding (DSTBC) scheme for the downlink of cell-free massive MIMO systems that effectively mitigates UE antenna calibration errors and phase offsets, enabling reliable communication without requiring explicit calibration or channel phase knowledge.
This paper classifies left-invariant Ricci solitons on the Lie group as expanding and non-gradient, while also investigating harmonic maps into this geometry and characterizing a specific class of harmonic vector fields.
This paper investigates the use of additive overlapping Schwarz domain decomposition methods as scalable preconditioners for solving the large sparse linear systems arising in pose-graph SLAM optimization, demonstrating through numerical experiments and structural analogies to finite element problems that these techniques ensure the convergence of the preconditioned conjugate gradient method remains independent of problem size.
This paper introduces a stable, unconditionally robust four-field mixed finite element method for incompressible nonlinear elasticity that utilizes a discontinuous displacement field to eliminate the need for stabilization in both 2D and 3D, while providing theoretical well-posedness, error estimates, and an efficient postprocessing technique to recover accurate continuous solutions.
This paper investigates whether the divisor structure of influences Mersenne prime exponents by introducing a normalized parameter and demonstrating through statistical analysis that known Mersenne prime exponents exhibit moderately elevated values of compared to nearby primes, though a theoretical explanation for this phenomenon remains open.
This paper establishes limit theorems for the number of fixed points, descents, and inversions in iterated random-to-top shuffles by employing analytical methods and novel combinatorial decompositions, thereby resolving open questions posed by Diaconis, Fulman, and Pehlivan.
This paper refutes the conjecture that isolated periodic points of automorphisms on affine spaces have bounded height by providing a counterexample, while simultaneously proving that cohomologically hyperbolic dominant rational self-maps on projective varieties possess a Zariski open subset with height-bounded periodic points and offering evidence that such boundedness may fail for preperiodic points.
This paper analyzes the structure of the Poisson trinomial distribution by demonstrating that its probability mass function decomposes into two interleaved, normalized Poisson binomial distributions supported on integers and half-integers, respectively, and establishes bounds on the proximity of their conditional means and modes to the unconditional mean.
This paper refines and extends recent results by Nagy and Semmelmann by demonstrating that the second-order Taylor expansion of Einstein deformations for negative Kähler-Einstein metrics is fully determined by the square of the initial deformation and the divergence of the Kodaira-Spencer bracket, thereby establishing a precise link between second-order Einstein deformation theory and the complex geometry of the underlying manifold.
This paper establishes that for a one-dimensional reaction-diffusion process combining symmetric simple exclusion and critical Glauber dynamics, the rescaled total magnetization converges to a non-Gaussian distribution with a quartic-exponential density, while the density field's fluctuations on zero-mean modes vanish, indicating that the macroscopic behavior is dominated by the magnetization mode.
The paper demonstrates that Brascamp-Lieb constants are semi-algebraic functions of their feasible data, satisfying a polynomial relation, and extends this algebraicity result to the broader context of quiver Brascamp-Lieb constants associated with bipartite quivers.
This paper investigates the real roots of graph reliability polynomials, proving that almost every graph possesses a nonreal reliability root and that these polynomials have roots dense on the interval where .
This paper analyzes the solvability of parameter estimation-based observers (PEBO) for general nonlinear systems by examining the fundamental properties of transformability and identifiability, ultimately providing sufficient conditions to ensure their existence.
Motivated by the global May 12 initiative to celebrate women in mathematics, this paper outlines the initiative's origins and key events while highlighting the pioneering scientific contributions of six influential female mathematicians: Hypatia, Sofia Kovalevskaya, Emmy Noether, Maryam Mirzakhani, Karen Uhlenbeck, and Ingrid Daubechies.
This paper introduces D2AJSCC, a novel framework that enables the deployment of high-fidelity analog joint source-channel coding on standard digital transceivers by utilizing orthogonal frequency-division multiplexing as a waveform synthesizer and a differentiable neural surrogate to overcome hardware mismatches and non-differentiable operations, thereby achieving graceful degradation without requiring hardware modifications.