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Bayesian 3D Steerable CNNs: Enabling Equivariance and Uncertainty Quantification Simultaneously Delayed acceptance sampling with Hamiltonian proposal subchains for random field materials inference Risk or Replace: Efficient Asymptotics for Data-Driven Maintenance Joint convergence in Wiener chaos via transport hierarchy and Malliavin covariances High-Order Talagrand and Eldan--Gross Inequalities via Besov-Type Variance Functionals Phase Transition in Convex Relaxations for Graph Alignment Effective Resistances and Commute Times in Sparse Random Geometric Graphs The Ornstein$-$Uhlenbeck process on $\mathscr P_2$ with a volatility operator Higher-order spectral perturbation expansions II: Kernel matrices and manifold learning An Analytical Methodology for Quantifying Airspace Conflict Rate and Complexity A uniform-in-time weakly convergent explicit numerical method for the underdamped Langevin equation with polynomial potentials The distribution of the de Moivre experiment The existence of invariant sublinear expectations for $G$-SDEs On the Smoluchowski-Kramers approximation for the hyperbolic $O(N)$ linear sigma model and its mean-field limit Sharp freezing time estimates for the subcritical Facilitated Exclusion Process Collapsibility in Multiparametric Models of Random Simplicial Complexes Testing for a Hidden Geometry in Random Graphs Uniform integrability of the distance to the nearest leaf in random trees Well-posedness of stochastic parabolic equations with gradient nonlinearities and applications to phase-field models A Concavity Theorem for the Parisi PDE Stein's method for the matrix normal distribution Interplay of insurance and financial risks in a non Levy-Renewal environment Excursion Fluctuations and Spectral Universality in Gaussian Fields Purely unrectifiable sets, fractal percolation and graphs of functions Flowing to Normality and the Fate of the Single Ring Theorem A small noise approximation for Muller's Ratchet Exponential Convengence of DLRA for SDEs Sharp One-Dimensional Sub-Gaussian Comparison in Convex Order A 0-1 Law for Multifractal Spectra via the HGDS Scale Derivative Small moments of the sensitivity of polynomial threshold functions An Algebraic Matrix Spencer Theorem A non-asymptotic bound on the TV distance between a Wishart matrix and an appropriately scaled GOE matrix Eyring-Kramers asymptotics for infinite-dimensional stochastic gradient systems A Low-Regularity Semigroup Sewing Lemma via Quotient Structures The Backward Stochastic Partial Differential Integral Equations: Solvability and Comparison Principle Super-Arrhenius relaxation of the triangular plaquette model in any dimension Logarithmic Large Deviations for Heavy-Tailed Sums On stability of outliers from the circular law Free energy of non-convex multi-species spin glasses with centered Ising spins Random Tensor Estimates and Deterministic Diagonal Resolutions for Mixed Paracontrolled Operators Quantitative Oppenheim Conjecture for Random Quadratic Forms and Optimal Variance Bounds in Function Fields Plateau Gaps of Poisson Correctors Encode Metastable Reaction Rates Pricing Excess-of-Loss Reinsurance and CAT Bonds under Climate Uncertainty: A Cox Process Framework with Temperature-Dependent Stochastic Intensity A Machine-Checked Itô Calculus for Brownian Motion Universality in the target arrival statistics of non-conservative search processes Riviera model with egoistical settlers Exact Label Recovery in Euclidean Random Graphs The Winner Takes It All The Optimal Rate Function in Covariant Quantum State Tomography Cluster sizes in subcritical soft Boolean models Asymptotic behavior of some strongly critical decomposable 3-type Galton--Watson processes with immigration Sharp connectivity bounds for the vacant set of random interlacements A Tail-Respecting Splitting Numerical Scheme for Lévy-Driven SDEs With Superlinear Drifts Geometry of critical discrete structures: long-range percolation on the hierarchical lattice and the discrete torus Mean-field BSDEs with non-Lipschitz coefficients and double mean reflections Convergence to the Brownian CRT for critical branching Markov processe Malliavin Calculus for the stochastic Cahn-Hilliard equation driven by fractional noise Balanced affine Motzkin paths: Pearson geometry and global endpoint asymptotics BBP Phase Transition for a Doubly Sparse Deformed Model Transposition Approach to Optimal Control of McKean-Vlasov SPDEs Stochastic control with dividend payments and capital injections for Markov additive processes Large Deviations for the Nonlinear Schrödinger Equation with Randomized Quasi-Periodic Initial Data in Higher Dimensions: Subcritical Case Atypical Decay Rates for Atypical Heights in Random Recursive Trees Scaling Limits of Bivariate Nearly-Unstable Hawkes Processes and Applications to Rough Volatility A tree-free approach to 3D Yang-Mills Langevin dynamic. Analytic estimates and the existence of a model for a regularity structure Pathwise structure of the three-dimensional attractive one-point interaction diffusion Steady-State Approximation Error of Heterogeneous Mean-Field Models Risk-averse mean field games: exploitability and non-asymptotic analysis Entangled states are typically incomparable Hua-Chen New Theory of Economic Optimization Structure preserving properties of higher order moment closures for TASEP Layerwise Terminal Discrepancy in Chen's Reverse-Heat Coupling on the Boolean Cube Lyapunov-Based Sample Complexity Analysis for Weakly-Coupled MDPs Semiclassical limit of Polyakov-Liouville measure and Q-Curvature Uniformization on evev-dimensional manifolds Storage and Transport Capacity Design for a Self-Reliable Two-Node Stochastic Resource System The optimal sub-Gaussian normalisation for randomised monotone functions On the empirical spectral distribution of matrix perpetuities Experimentation for Different Scheduling Policies on Queues: Mixed Differences-in-Q Estimators Based on Little's Law

Probabilities

[Submitted on 26 Jan 2026 (v1), last revised 13 Jun 2026 (this v · 2026-06-16 · via math.PR updates on arXiv.org

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