Probabilistic ultraviolet renormalization of the two-dimensional Sin... arXiv:2610.32927 A Central Limit Theorem for the Driver Site Frequency Spectrum arXiv:2610.32942

The boosted loop-erased random walk arXiv:2610.32821 Near-critical Ising interfaces in the thermal direction: Absolute co... arXiv:2610.32860 The lower tail of triangle counts in sparse random graphs arXiv:2610.32879

The Martingale Property in Volterra Volatility Models arXiv:2610.32684 Avalanches of the Abelian sandpile on the hierarchical lattice arXiv:2610.32687 Non-equilibrium density fluctuations for the stirring process with w... arXiv:2610.32701

Wasserstein bounds for invariant measures in the Smoluchowski-Kramer... arXiv:2610.32217 Approximating the Gibbs Measure of Spherical Spin Glasses to Within ... arXiv:2610.32649 How much do increasing events occur disjointly? arXiv:2610.32658

Reflected BSDEs under random horizons: Sharp support criteria, irreg... arXiv:2610.31988 Graph distance and percolation dimension of three-dimensional Browni... arXiv:2610.32137 Rough path lifts of multifractional Brownian motions arXiv:2610.32201

Free energy fluctuations of symmetric perceptron models up to and in... arXiv:2610.31736 Random Cellular Automata and deBruijn Graphs arXiv:2610.31764 Probabilistic representation and Monte Carlo method for nonlinear Di... arXiv:2610.31942

On the direct SLE-martingale approach to the integrability of Confor... arXiv:2610.31648

Upper tail large deviations of regular subgraph counts in sparse ran... arXiv:2610.31590 Hydrodynamic and Stochastic Limits of Space-Time Hawkes Processes arXiv:2610.31604 The Critical 2D KPZ Process arXiv:2610.31614

Atomic limits of empirical measures of interacting particle systems ... arXiv:2610.31319 Concentration inequalities for vector-valued martingales arXiv:2610.31449 Bulk stability of bimolecular stochastic chemical reaction networks arXiv:2610.31550

Path-dependent rough differential equations in the full step-two range arXiv:2610.30931 Ultra-hard-edge universality under deterministic preconditioning arXiv:2610.31143 A local-to-global principle for f-divergence homogenization arXiv:2610.31164

Stationary Half-space Geometric Last Passage Percolation without Ran... arXiv:2610.30739 Central limit theorem for the Smoluchowski--Kramers approximation arXiv:2610.30835 Strong uniqueness for fractional stochastic differential equations w... arXiv:2610.30889

The longest increasing subsequences of Luce permutations and permutons arXiv:2610.30382 Couplings with prescribed maxima: A short proof of the quasi-copula ... arXiv:2610.30642 The Laplace transform of the stationary measure of the open KPZ equa... arXiv:2610.30699

Generalized Images for Brownian First Passage to Monomial Boundaries arXiv:2610.30298 A note on functional non-central limit theorem for periodic regime-s... arXiv:2610.30342 Optimal CLT error bounds in the second order Wasserstein metric via ... arXiv:2610.30352

On Divisibility Properties of Zipf Law and Relatives arXiv:2610.29974 Tempered Langevin diffusions with polynomial-tailed targets: explosi... arXiv:2610.30024 On the proof of the Kozma-Nitzan conjecture arXiv:2610.30063

Kelly's conjectures on Condorcet winner probabilities for odd electo... arXiv:2610.29904 Painlev\'e representations for joint moments of characteristic polyn... arXiv:2610.29947 Differentiability of Shape Function for Piecewise Smooth Lagrangians... arXiv:2610.29966

A paintbox characterization of labeled partitions arXiv:2610.29824 Spatial preferential attachment models: robustness revisited arXiv:2610.29853 Competitive Lotka-Volterra systems with random catastrophes: invasio... arXiv:2610.29888

Wave equation with unbounded terms driven by a stochastic measure arXiv:2610.29648 Weighted Risk Aggregation under Long-Memory Dependence: Pathwise Flu... arXiv:2610.29743 A branching model for selective sweeps arXiv:2610.29759

Tamed Euler Approximation of Invariant Measures for Weakly Interacti... arXiv:2610.29314 Subsequential Version of Breiman's Conjecture arXiv:2610.29551 Inhomogeneous random graphs: how heavy tails reshape connectivity arXiv:2610.29564

A New Modification of the Milstein Method and the Taylor-Ito Expansi... arXiv:2610.29206 Temporal-Logical Stochastic Processes arXiv:2610.29209 Higher-order convex orders under free multiplicative convolution arXiv:2610.29258

Normal approximation, moderate and large deviations for the elephant... arXiv:2610.29105 Normal approximation and self-normalized moderate deviations for the... arXiv:2610.29156 Small deviations for integrators in terms of It\^{o}--Wiener expansions arXiv:2610.29202