300 papers
This paper characterizes optimal signed linear risk-sharing rules in decentralized networks where agents can only share risks with their direct neighbors, establishing a connection between equal-risk-sharing among friends and the graph Laplacian.
This paper establishes essentially tight information-theoretic thresholds for detecting latent geometry in noisy bipartite random geometric graphs by introducing a novel Fourier-analytic framework that exploits signed subgraph count cancellations, thereby ruling out computational-statistical gaps and improving upon previous bounds.
This paper bridges the gap between Gaussian approximation and the concentration threshold in high-dimensional Laplace-type integrals by deriving an explicit asymptotic expansion for with quantitative remainder bounds valid when , thereby enabling accurate analytic approximations of expectations and constructing polynomial transport maps for efficient sampling in regimes where is large but does not vanish.
This paper demonstrates that a single step of Lin-Lu-Yau Ricci curvature-based edge reweighting in the balanced two-block stochastic block model amplifies community structure to improve spectral clustering performance, while establishing uniform concentration bounds and finite-horizon tracking guarantees for iterated reweighting procedures.
This paper proposes a scalable, deep learning-based superposition operator trained on Markovian Arrival Processes to accurately predict the higher-order moments and dependence structures of merged non-renewal arrival streams, thereby enabling more precise distributional performance analysis of queueing networks than classical renewal-based approximations.
This paper proves an inequality involving alternating binomial logarithmic sums by utilizing the variance of the logarithm of the maximum of independent and identically distributed exponential random variables.
This paper proposes a continuous-time stochastic framework for Schnieper's reserving model that utilizes a Poisson measure for claim arrivals and Brownian motion for cost fluctuations, enabling a robust bootstrap method to estimate the full predictive distribution of reserves while naturally ensuring non-negativity and accounting for asymmetry.
This paper investigates the absolute continuity, singularity, and topological, metric, and fractal properties of infinite Bernoulli convolutions generated by positive multigeometric series, with a specific focus on cases where the support spectrum forms a Cantorval.
This paper proves the convergence in probability of Wilson loops under the Yang-Mills measure on closed orientable surfaces of genus greater than two for large unitary or special unitary groups by employing Koike-Schur-Weyl duality and Spin Networks to refine existing arguments.
This paper establishes the equivalence of four key properties for integral stochastic orders in arbitrary dimensions and leverages these findings to generalize Blackwell's theorem while providing new insights into information design, mechanism design, and decision theory.
This paper proves the absence of anomalous dissipation for passive scalars driven by random divergence-free autonomous vector fields in Hölder classes with regularity by utilizing dimension-theoretic arguments rather than commutator estimates, thereby establishing that anomalous regularization does not occur for this class of fields.
This paper establishes the existence of transition densities for geometric -stable processes using a purely probabilistic approach based on self-decomposability, and applies this result to prove the existence of ground states for associated Schrödinger operators.
This paper establishes the Hölder continuity of Mather measures for Tonelli Lagrangian systems under perturbations when the unperturbed measure is supported on a Diophantine quasi-periodic torus, while also exploring the potential for Lipschitz regularity via KAM theory.
This paper provides a mathematical introduction to contextuality, framing it not as a unique feature of quantum mechanics but as a fundamental characteristic inherent to probability theory and logic.
This paper derives a formula for the distribution of the most recent common ancestor's generation in multi-type supercritical branching processes by linking it to the limiting population size distribution and harmonic moments, while providing effective bounds and numerical approximations for practical application.
This paper demonstrates that the second-order term in the scaling limit of the identity element for the abelian sandpile group on finite Sierpinski gasket graphs converges to the path distance to the nearest corner, a result established by decomposing the identity into a constant function and the Laplacian of the graph distance.
This paper establishes the limit free energy via a Parisi-type formula and proves a large deviation principle for the mean magnetization in vector spin glass models with Mattis interactions under a convexity assumption, utilizing a simplified proof that treats the Mattis interaction as a model parameter.
This paper proves that the limit free energy of non-convex vector spin glass models with Mattis interactions in the high-temperature regime is described by the unique solution to a Hamilton-Jacobi partial differential equation, thereby validating a recent conjecture and enabling the derivation of large deviation principles for mean magnetization.
This paper extends controlled simulated annealing to swarm gradient dynamics by proving that a velocity field can be constructed to guide the system's marginal distribution along a prescribed annealing curve, thereby enabling global optimization with convergence rates determined solely by the cooling schedule.
This paper proposes and analyzes a convex estimator for the drift matrix of high-dimensional Lévy-driven Ornstein--Uhlenbeck processes under a low-rank-plus-sparse structure, establishing a non-asymptotic oracle inequality that demonstrates improved dimensionality dependence compared to purely sparse methods while accounting for discretization and truncation biases across various Lévy regimes.