7335 papers
This technical note extends the results of Kosygina, Mountford, and Peterson on generalized Pólya's urns from a specific weight function to a broader family of functions relevant to Tóth's study of polynomially self-repelling walks, thereby facilitating future research on the scaling limits of these processes.
This paper proposes a two-step stochastic optimization framework that combines gradient and negative curvature steps with adaptive step sizes and early stopping to achieve high-probability convergence to second-order stationary points, offering complexity guarantees that match deterministic rates up to noise-dependent terms.
This paper proposes a two-time-scale design for local safety filters in networked systems that eliminates the need for global coordination by using derivative estimation, while providing explicit bounds on safety degradation relative to the time-scale parameter and estimation errors.
This paper introduces cycle matrices as a basis for describing non-equilibrium properties in Markov chains, proving that the kernel of the interaction graph's incidence matrix is isomorphic to the space of anti-symmetric matrices with zero row sums.
This paper computes cohomological Chow groups of codimension one for varieties with isolated singularities, establishing results for higher-dimensional varieties with contractible dual complexes and for 3-dimensional varieties under the weaker condition that the second cohomology of the dual complex vanishes.
This paper employs model-theoretic methods to establish that generalized strongly normal extensions are Galois extensions of parameterized D-torsors and proves a parameterized version of Kolchin's theorem on differential cohomology to provide a necessary and sufficient condition for such extensions to arise from log-differential equations on their Galois groups.
This paper investigates continuous-time multi-armed bandits with random intervention times, providing explicit characterizations of the optimal Gittins index for arms evolving as Lévy processes and specific subclasses like spectrally negative Lévy processes and diffusion processes.
This paper demonstrates the failure of unconditional uniqueness for mild solutions to the Navier-Stokes and fractional Navier-Stokes equations in Besov spaces with negative regularity by constructing non-trivial stationary singular solutions via convex integration, while simultaneously establishing uniqueness for stationary weak solutions in an endpoint critical space.
This paper proves the existence of closed embedded minimal hypersurfaces with topology in by constructing them via a generalized rotational ansatz from any isoparametric hypersurface , thereby extending known minimal hypertori examples to a broader class of topologies.
This paper proposes a unified co-optimization framework for utility-scale off-grid renewable power-to-hydrogen systems that coordinates heterogeneous electrolyzers and other resources to maximize hydrogen production while ensuring frequency security through a novel system-level response model and stage-wise transient constraints.
This paper completes the classification of measures on Cameron's elementary treelike Fraïssé classes by establishing a bijection for -colored rooted binary trees that yields infinite families of novel semisimple tensor categories with superexponential growth, while simultaneously proving the nonexistence of such measures on -colored and labeled tree classes for .
This paper introduces the "little -function" as a degenerate limit of Zwegers' generalized -function, deriving it via -Borel summation of a divergent solution to the Ramanujan difference equation and establishing its key properties, including symmetries, connection formulas, and relations to -Fibonacci sequences and the Rogers-Ramanujan continued fraction.
This paper proposes an SEIRV epidemic model with relapse and intervention to analyze malware propagation dynamics, establish stability conditions, identify key influencing parameters, and optimize cost-effective control strategies using a hybrid gradient-based framework calibrated with real-world infection data.
This paper proposes a tractable, infinite-dimensional framework for assessing the long-term environmental impact of long-memory processes, such as benthic algae blooms, by formulating the problem as a solvable extended Hamilton-Jacobi-Bellman system that incorporates model uncertainty and nonexponential discounting.
The paper establishes that the number of compact, essential, orientable, non-isotopic surfaces with a fixed Euler characteristic embedded in a finite-volume hyperbolic 3-manifold is bounded by a polynomial function of the manifold's volume, where the degree of the polynomial depends linearly on the absolute value of the Euler characteristic.
This paper demonstrates that any non-adaptive -query relaxed locally decodable code (RLDC) with sufficiently small soundness error can be converted into a standard -query locally decodable code (LDC) with comparable parameters, thereby generalizing previous separation results and yielding improved lower bounds for RLDCs, relaxed locally correctable codes (RLCCs), and probabilistically checkable proofs of proximity (PCPPs).
This paper derives the small ball probability for the collision local time of two independent symmetric -stable processes (with parameters satisfying ) by analyzing the asymptotic behavior of their moment generating function via contour integration.
This paper determines the nonemptiness and classifies the genera of isomorphism classes of polarized superspecial abelian varieties over with specific Frobenius and polarization kernel conditions by reducing the problem to the arithmetic study of hermitian lattices.
This paper characterizes the matrix polynomials and that satisfy a specific norm inequality and those for which the corresponding operator embedding is compact on bounded open sets.
This paper extends Masur and Minsky's result on the quasi-isometry between Teichmüller space and the curve graph to the -multicurve graph by electrifying the space along regions of small extremal length for curves, utilizing a new distance bound derived from intersection numbers.