7196 papers
This paper demonstrates that while centralized precoding in cell-free massive MIMO is theoretically superior, its performance advantage vanishes under realistic per-AP power constraints, rendering distributed precoding a more robust and practical alternative.
This paper investigates the functional analytic properties of "localized" locally convex topologies to characterize distributions arising as divergences of vector fields, demonstrating that while these topologies are sequential, they generally lack standard properties like being Fréchet-Urysohn or barrelled, and establishing a semireflexivity condition that yields a general existence theorem for solving .
This paper establishes new refined lower and upper bounds for the numerical radius of bounded linear operators using Euclidean operator radius techniques, derives equality characterizations, and improves existing inequalities for operator commutators.
This paper establishes tight sufficient conditions based on spectral radius and completely characterizes the corresponding extremal graphs for the existence of rainbow Hamilton paths and cycles in families of bipartite graphs using the bi-shifting technique.
This paper generalizes a previous result on outlier eigenvectors by establishing that for sparse non-Hermitian random matrices with finite-rank perturbations, the squared projection of an outlier eigenvector onto the spike eigenspace converges in probability to $1-|\mu|^{-2}$, thereby solving Open Problem 5.
This paper establishes optimal strong and weak convergence rates for slow-fast systems driven by multiplicative -stable Lévy noises by overcoming challenges in exponential ergodicity and gradient estimates through coupling and spatial periodic methods, while also deriving explicit formulas for tangent maps induced by nonlinear immersions.
This paper completes the classification of Nottingham algebras by establishing existence and uniqueness results that determine all such infinite-dimensional, positively graded thin algebras up to isomorphism.
This paper establishes that a weakened version of the Robinson Splitting Theorem, where lowness is replaced by superlowness, holds within models of the theory .
This paper establishes that in pure polymorphic dependent type theory (P2), parametric quotient types and strong coinduction principles are not definable, and that function extensionality is strictly necessary to prove induction principles, by constructing specific models where these principles fail.
This paper establishes sufficient conditions for the existence and uniqueness of traces on the essential and full -algebras of (possibly non-Hausdorff) étale groupoids extending invariant measures, particularly linking uniqueness to essential freeness and amenability of isotropy groups, with applications to gauge-invariant algebras of finite-state self-similar groups.
This paper classifies the -adic Galois images of elliptic curves over with mod non-split Cartan images using -adic Hodge theory, providing a novel algorithm for the potentially supersingular case and deriving global consequences for elliptic curves over that sharpen bounds on their adelic images.
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.