2549 papers
This paper establishes the -contraction property and time-asymptotic stability of monotone viscous-dispersive shock waves for the KdV-Burgers equation under arbitrarily large perturbations, providing uniform estimates with respect to viscosity and dispersion strengths.
This paper proposes an alternating optimization framework that jointly designs precoding vectors and beyond-diagonal RIS phase-shift matrices to effectively balance the trade-off between multiuser communication sum rate and sensing beam gain in integrated sensing and communication systems.
This paper proves the stable degeneration conjecture for log Fano fibration germs by introducing the -invariant to identify a unique minimizing valuation that induces a special degeneration to a K-semistable germ, which further admits a unique K-polystable special degeneration.
This paper establishes a quantitative form of the Green-Tao theorem for sparse sets by proving that any subset of primes with relative density lacking nontrivial arithmetic progressions of length must satisfy , an improvement achieved through a new quasipolynomial inverse theorem and a dense model theorem.
This paper proposes a computationally efficient channel estimation algorithm for MIMO-AFDM systems that utilizes a Vandermonde-structured tensor train decomposition to accurately handle fractional delay and Doppler effects, while also introducing a global Ziv-Zakai bound that outperforms the Cramér-Rao bound in characterizing low-SNR performance.
This paper analyzes a two-stage queueing system in telehealth settings to derive structural insights for optimal decision-making by nurse practitioners, ultimately proposing robust, near-optimal heuristics that effectively balance service quality and wait times while offering actionable guidance on telemedicine infrastructure investments.
This paper proposes a novel, efficient three-stage closed-form solution for robust adaptive beamforming that outperforms existing benchmarks like MOSEK and RMVB in computational speed, handles rank-deficient covariance scenarios, and establishes previously unstudied existence and uniqueness conditions.
This paper demonstrates the successful real-time deployment of a dual active-set solver (DAQP) for high-frequency (500 Hz) Model Predictive Control on a resource-constrained nano-quadcopter, showing superior execution times compared to ADMM-based methods and introducing a data-driven approach to certify real-time feasibility offline.
This paper introduces the concept of "missing generators" for cyclic groups to establish a unique cyclic structure and additive properties for these groups, while demonstrating that factoring RSA numbers is computationally equivalent to computing a specific structural parameter under a conjecture regarding the density of primes in certain exponential sequences.
This paper introduces SHANG and SHANG++, two accelerated stochastic gradient descent methods derived from Hessian-driven Nesterov flows that achieve robust convergence and superior performance under multiplicative noise scaling, with SHANG++ specifically demonstrating near-optimal accuracy in deep learning applications even in high-noise environments.
This paper introduces the concepts of "siblings" and "twins" to analyze the difficulty of distinguishing non-isomorphic p-groups, ultimately applying these insights to develop an effective algorithm for identifying all 10,494,213 groups of order $2^9$.
This paper proves that the smallest group satisfying Guido Zappa's 1962 question regarding cosets of Sylow -subgroups containing only elements of -power order cannot be an alternating simple group for any prime .
This paper establishes the necessary and sufficient conditions that determine whether a hyperbolic set is chaotic or non-chaotic.
This paper presents an accelerated direct solver based on boundary integral equations and low-rank proxy approximations that efficiently handles scalar wave scattering by multiple 2D transmissive inclusions, achieving computational complexity and demonstrating superior performance with the PMCHWT formulation over the Burton-Miller approach.
This paper establishes a new boundedness criterion for the maximal operator on variable Lebesgue spaces, formulated in terms of a variable exponent analogue of the weighted condition.
This paper, based on C. Viterbo's 2025 CIME lectures, establishes fundamental properties of the completion of Lagrangian submanifolds under the spectral metric via the refined concept of -support and applies these results to conformally symplectic dynamics to generalize the notion of Birkhoff attractors.
This paper investigates the quantum automorphism algebra of a quantum graph associated with a simple finite graph , proving that for any graph with at least three vertices, admits nonlocal symmetry through the existence of a perfect quantum no-signaling correlation.
This paper establishes that Szczarba's twisted shuffle restricts to a chain isomorphism between path chain complexes in the marked setting, thereby enabling the definition and explicit computation of equivariant path homology for directed graphs with group actions via a natural Borel construction.
This paper extends the cohomological and spectral sequence methods for estimating the topological complexity of non-simply connected spaces via group homomorphisms, applying these results to determine the topological complexity of specific 3-manifolds with nonabelian fundamental groups.
This paper proves that balls are the unique open bounded domains satisfying the mean value property for polyharmonic functions by adapting Kuran's argument for harmonic functions and establishing a quantitative version of this rigidity result.