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1657 papers in math.PR · page 13
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Spectral gap yields explicit mixing
Statistical Limit Theorems for Axiom A Diffeomorphisms: Exponential Mixing, Central Limit Theorem, and Large Deviations
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Gibbs Equivalence Theorem holds for SRB measures on Axiom A diffeomorphisms
Transfer Operators and SRB Measures for Axiom A Diffeomorphisms: Spectral Gap, Structural Stability, and the Gibbs Equivalence Theorem
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Transfer operators give explicit stability and spectral gaps for Axiom A maps
Transfer Operators and SRB Measures for Axiom A Diffeomorphisms: Spectral Gap, Structural Stability, and the Gibbs Equivalence Theorem
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Stochastic particles converge to Vlasov-Navier-Stokes with rates
Quantitative approximation of the Vlasov(-Fokker-Planck)-Navier-Stokes system by stochastic particle systems
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FK-percolation local probabilities are analytic in p
Uniform analyticity of local observables in FK-percolation and analyticity of the Ising spontaneous magnetisation
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Dyadic spikes disprove endpoint for lacunary dilate averages
Counterexamples for lacunary dilates via dyadic spike blocks
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NLP model generates feasible TRACON arrivals via path stretching
Geometric Trajectory Optimization for TRACON Arrivals: An NLP Approach with ATC Vectoring Maneuver Modeling
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Exact formula for expected perimeter of Brownian motion convex hull
Expected perimeter of the convex hull of planar Brownian motion stopped upon exiting the unit disk
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Random curves gain more long components and deep nests with rising degree
On Nests and Large Components of Random Real Algebraic Curves
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Gamma expansion yields first-passage densities for logistic harvesting
Gamma-Based Expansion for the First-Passage Time Distribution of Stochastic Logistic Models with Harvesting
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Condition sets when projections keep full packing dimension
On the packing dimension of projected measures
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Hard-edge inverse moments reduce to Bessel zeta at low temperature
Moments at the hard edge and Rayleigh functions
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Non-forming (k+1)-gon probability follows k-step Fibonacci product
Pick-up Sticks and the General Fibonacci Numbers
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Compatibility condition enables global Schauder estimates for stochastic parabolic PDEs
Schauder estimates and classical solutions of the Dirichlet problem for stochastic parabolic equations
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Compatibility on noise yields Schauder estimates for stochastic parabolic equations
Schauder estimates and classical solutions of the Dirichlet problem for stochastic parabolic equations
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Trajectory optimization cuts TMA arrival delays and fuel use
Trajectory-Based Optimization for Air Traffic Control in the Terminal Maneuvering Area
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Exact simulation now works for tempered stable distributions when α≥1
Exact Simulation from Tempered Stable Distributions with Infinite Variation ($\alpha\ge1$)
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Wasserstein shadow projection is bi-Hölder continuous
Quantitative Stability of the Shadow for Wasserstein Projections and Sample Complexity
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Five definitions of Gibbs measures proven equivalent with explicit bounds
Gibbs Measures on Subshifts of Finite Type: Five Equivalent Characterizations with Explicit Constants
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Langevin AIS time complexity quadratic in inverse temperature
Convergence of Langevin AIS for multimodal distributions
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Non-equilibrium harmonic states obey LLN
Ergodic properties of the harmonic process
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Asymmetric local transitions induce drift in combinatorial spaces
On Drift Induced by Local Transition Asymmetry in Combinatorial State Spaces
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Market customer sampling yields elephant random walk
Elephant random walk with attributed steps and extractions of random sizes
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Rogue waves obey large deviations principle beyond critical times
Large Deviations for the Nonlinear Schrodinger Equation with Randomized Quasi-Periodic Initial Data in Higher Dimensions: Beyond the Critical Time Scale
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Exponential correlation bound holds for random maps with holes
Functional correlation bound for random Lasota--Yorke maps with holes and its applications to conditional normal approximations
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LQG geodesic tree determines unique CaTherine wheel
CaTherine wheels from trees and Liouville quantum gravity
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Fibonacci concatenation may be normal if interior digits stay uniform
On the normality of the concatenated Fibonacci constant
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RSR evaluates 119-node system reliability in under 10 seconds
Reference-state System Reliability method for scalable uncertainty quantification of coherent systems
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Tagged particle equations characterize travelling waves
Waves Everywhere: A Distributional Equation Approach to Front Propagation
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Reconstructed Itô coefficients improve time series forecasts
Extraction of informative statistical features in the problem of forecasting time series generated by It{\^{o}}-type processes
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Exponential convergence of branching process mass proven
Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis
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Markov semigroups establish Beckner inequalities on weighted Gaussians
Log-Sobolev and Beckner inequalities and stability of Poincar\'e inequality with weighted Gaussian measures
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Lipschitz maps on measures admit continuous transport representations
Continuous transformations of probability measures and their transport representations
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Periodic interactions make phase transitions continuous at stability threshold
Phase transitions in Doi-Onsager, Noisy Transformer, and other multimodal models
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Covariance penalties halve MFPT errors in autoencoder manifold models
Geometric regularization of autoencoders via observed stochastic dynamics
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Wilson loops separate into action-independent topological parts
Universal dualities for Wilson loops in lattice Yang-Mills
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Level sets extrapolate max-stable fields with heavy Fréchet tails
Extrapolation of max-stable random fields with Fr\'echet marginals
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Hebbian plasticity modeled via Wasserstein geodesics of memory measures
A Wasserstein Geometric Framework for Hebbian Plasticity
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Berry-Esseen bound proved for inner function iterates
Normal approximation for iterated inner functions
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Higher-order TASEP closures keep states probabilistic
Structure preserving properties of higher order moment closures for TASEP
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Slowest observable simplifies quasi-exact Markov generators
On the role of the slowest observable in one-dimensional Markov processes to construct quasi-exactly-solvable generators with $N=2$ explicit levels
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Nudging criteria guarantee convergence for stochastic third-grade fluids
On Continuous Data Assimilation for a class of 2D and 3D stochastic non-Newtonian fluids of differential type
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Truncation keeps long-range contact processes supercritical
The truncation property and continuity for the long-range contact process on $\mathbb{Z}^d$
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Modified Greenwood statistic tests bivariate alpha-stable laws
Testing and estimation of the index of stability of univariate and bivariate symmetric $\alpha-$stable distributions via modified Greenwood statistic
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This paper introduces Neural CTMC
Neural Continuous-Time Markov Chain: Discrete Diffusion via Decoupled Jump Timing and Direction
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Separate timing and direction heads cut discrete diffusion perplexity
Neural Continuous-Time Markov Chain: Discrete Diffusion via Decoupled Jump Timing and Direction
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Assignments stay the same if perturbations stay below half the minimum margin
Stability of Partitions Induced by Nearest-Center Assignment Under Perturbations
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Shifted smoothing cuts dimension dependence in zeroth-order methods
Complexity Guarantees for Zeroth-order Methods via Exponentially-shifted Gaussian Smoothing: Mitigating Dimension-dependence and Incorporating Decision-dependence
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Straight-line flows work for any Gaussians but fail for separated modes
One-Shot Generative Flows: Existence and Obstructions
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Straight generative flows exist for Gaussians but not separated modes
One-Shot Generative Flows: Existence and Obstructions