Cover Image

Optimal local central limit theorems on Wiener chaos

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ebina, Masahisa, Nourdin, Ivan, Peccati, Giovanni
Format:	Preprint
Published:	2025
Subjects:	Probability 60F05, 60G15, 60H07
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Central limit theorems for stochastic wave equations in high dimensions
by: Ebina, Masahisa
Published: (2023)

Central limit theorems for nonlinear stochastic wave equations in dimension three
by: Ebina, Masahisa
Published: (2022)

Large deviations for a spatial average of stochastic heat and wave equations
by: Ebina, Masahisa
Published: (2024)

The Poisson Multiplication Formula
by: Cristofaro, Lorenzo, et al.
Published: (2025)

Stable limit theorems on the Poisson space
by: Herry, Ronan
Published: (2019)

A quantitative CLT on a finite sum of Wiener chaoses and applications to ratios of Gaussian functionals
by: Es-Sebaiy, Khalifa
Published: (2024)

Malliavin calculus and densities for chaos-driven stochastic differential equations
by: Loosveldt, Laurent, et al.
Published: (2026)

Absolute continuity of finite-dimensional distributions of Hermite processes via Malliavin calculus
by: Loosveldt, Laurent, et al.
Published: (2025)

A central limit theorem for the stochastic cable equation
by: Nishino, Soma
Published: (2025)

Malliavin smoothness of the Rosenblatt process
by: Loosveldt, Laurent, et al.
Published: (2025)

Quantitative bounds for high-dimensional non-linear functionals of Gaussian processes
by: Basse-O'Connor, Andreas, et al.
Published: (2025)

Nodal Volumes as Differentiable Functionals of Gaussian fields
by: Peccati, Giovanni, et al.
Published: (2024)

Almost sure central limit theorems via chaos expansions and related results
by: Maini, Leonardo, et al.
Published: (2025)

Berry-Esséen bound for complex Wiener-Itô integral
by: Chen, Huiping, et al.
Published: (2024)

Central limit theorem for the Allen-Cahn equation with supercritical random initial conditions
by: Piernot, Colin, et al.
Published: (2026)

Empirical limit theorems for Wiener chaos
by: Bai, Shuyang, et al.
Published: (2023)

Limit theorems for anisotropic functionals of stationary Gaussian fields with Gneiting covariance function
by: Leonenko, Nikolai, et al.
Published: (2026)

Exponential dimensional dependence in high-dimensional Hermite method of moments
by: Basse-O'Connor, Andreas, et al.
Published: (2025)

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition
by: Coppini, Fabio, et al.
Published: (2025)

Small-time central limit theorems for stochastic Volterra integral equations and their Markovian lifts
by: Friesen, Martin, et al.
Published: (2024)

Non-central limit of densities of some functionals of Gaussian processes
by: Bourguin, Solesne, et al.
Published: (2024)

An Operator Ito Formula for Volterra Gaussian Processes: The Intrinsic Bracket via Causal Derivation-Divergence Factorization
by: Fontes, Ramiro
Published: (2026)

Density convergence on Markov diffusion chaos via Stein's method
by: Dang, Thanh, et al.
Published: (2025)

Zeros and critical points of Gaussian fields: cumulants asymptotics and limit theorems
by: Ancona, Michele, et al.
Published: (2025)

Modified wavelet variation for the Hermite processes
by: Loosveldt, Laurent, et al.
Published: (2024)

Modified weighted power variations of the Hermite process and applications to integrated volatility
by: Ayache, Antoine, et al.
Published: (2026)

A SIR epidemic model on a refining spatial grid II-Central limit theorem
by: Gallouët, Thierry, et al.
Published: (2024)

On irreducible central limit theorems
by: Caravenna, Francesco, et al.
Published: (2025)

Large deviation principles and functional limit theorems in the deep limit of wide random neural networks
by: Di Lillo, Simmaco, et al.
Published: (2026)

Stochastic Calculus as Operator Factorization An Operator-Covariant Derivative and Unified Representation
by: Fontes, Ramiro
Published: (2026)

Relative compactness of Itô integrals on the M1 Skorokhod space with identification of limits
by: Wunderlich, Fabrice
Published: (2025)

A general correlation inequality for level sets of sums of independent random variables using the Bernoulli part with applications to the almost sure local limit theorem
by: Weber, Michel J. G.
Published: (2023)

On Mukhin's necessary and sufficient condition for the validity of the local limit theorem
by: Weber, Michel J. G.
Published: (2022)

A quantitative central limit theorem for the simple symmetric exclusion process
by: Gess, Benjamin, et al.
Published: (2024)

On asymptotic behavior of solutions to random fractional Riesz-Bessel equations with cyclic long memory initial conditions
by: Alghamdi, Maha Mosaad A., et al.
Published: (2025)

Multiscale Asymptotic Analysis of Kernel-Smoothed Solutions to Fractional Riesz-Bessel Equations with Random Initial Conditions
by: Khan, Shahid, et al.
Published: (2026)

Existence of weak solutions to stochastic heat equations driven by truncated $α$-stable white noises with non-Lipschitz coefficients
by: Wang, Yongjin, et al.
Published: (2022)

An interpolation of discrete rough differential equations and its applications to analysis of error distributions
by: Aida, Shigeki, et al.
Published: (2023)

Hölder estimates and weak convergences of certain weighted sum processes
by: Aida, Shigeki, et al.
Published: (2024)

Limit theorems for stochastic Volterra processes
by: Bianchi, Luigi Amedeo, et al.
Published: (2025)