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Main Authors:	Mansanarez, Paul, Poly, Guillaume, Swan, Yvik
Format:	Preprint
Published:	2025
Subjects:	Probability
Online Access:	https://arxiv.org/abs/2510.14002
Tags:	Add Tag No Tags, Be the first to tag this record!

Derivatives of entropy and the MMSE conjecture
by: Mansanarez, Paul, et al.
Published: (2023)

Superconvergence phenomenon in Wiener chaoses
by: Herry, Ronan, et al.
Published: (2023)

Simulating diffusion bridges using the Wiener chaos expansion
by: Delgado-Vences, Francisco, et al.
Published: (2024)

Normal approximation for the posterior in exponential families
by: Fischer, Adrian, et al.
Published: (2022)

Topics in Gaussian Wiener chaos expansion
by: Berglund, Nils
Published: (2026)

Non-uniform Edgeworth expansions for weakly dependent random variables and their applications
by: Hafouta, Yeor
Published: (2025)

Edgeworth expansion and large deviations for the coefficients of products of positive random matrices
by: Xiao, Hui, et al.
Published: (2022)

Convergence of higher derivatives of random polynomials with independent roots
by: Angst, Jürgen, et al.
Published: (2026)

A short proof of the strong three dimensional Gaussian product inequality
by: Herry, Ronan, et al.
Published: (2022)

Solving stochastic partial differential equations using neural networks in the Wiener chaos expansion
by: Neufeld, Ariel, et al.
Published: (2024)

Roots of random trigonometric polynomials with general dependent coefficients
by: Angst, Jürgen, et al.
Published: (2024)

A general partial Cramér's condition for Edgeworth expansion of a function of sample means with applications
by: Wei, Yashi, et al.
Published: (2025)

Limit distributions for polynomials with independent and identically distributed entries
by: Herry, Ronan, et al.
Published: (2024)

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

Almost sure behavior of the critical points of random polynomials
by: Angst, Jürgen, et al.
Published: (2023)

Regularity of laws via Dirichlet forms -- Application to quadratic forms in independent and identically distributed random variables
by: Herry, Ronan, et al.
Published: (2023)

Edgeworth-type expansion for the one-point distribution of the KPZ fixed point with a large height at a prior location
by: Nissim, Ron, et al.
Published: (2022)

Persistent Homology of the Wiener Sausage II: A Central Limit Theorem for Drifted Planar Brownian Motion
by: Guillaume, Tristan
Published: (2026)

Explicit non-asymptotic bounds for the distance to the first-order Edgeworth expansion
by: Derumigny, Alexis, et al.
Published: (2021)

Optimal local central limit theorems on Wiener chaos
by: Ebina, Masahisa, et al.
Published: (2025)

Persistence of the Wiener Sausage: Sampling Stability and a Law of Large Numbers for Drifted Planar Brownian Motion DRAFT -CURRENTLY UNDER REVIEW
by: Guillaume, Tristan
Published: (2026)

Continuous approximations for the fixation probability of the Moran processes on star graphs
by: da Silva, Poly H., et al.
Published: (2022)

Edgeworth corrections for the spiked eigenvalues of non-Gaussian sample covariance matrices with applications
by: Wei, Yashi, et al.
Published: (2025)

An Euler scheme for BSDEs via the Wiener chaos decomposition
by: Lozano, Pere Díaz, et al.
Published: (2025)

Fractional Wiener Chaos
by: Boguslavskaya, Elena, et al.
Published: (2023)

High-degree cubature on Wiener space through unshuffle expansions
by: Ferrucci, Emilio, et al.
Published: (2024)

Sharp total variation rates of convergence for fluctuations of linear statistics of $β$-ensembles
by: Angst, Jürgen, et al.
Published: (2024)

New representations of the Hu-Meyer formulas and series expansion of iterated Stratonovich stochastic integrals with respect to components of a multidimensional Wiener process
by: Kuznetsov, Dmitriy F.
Published: (2025)

Testing Thresholds and Spectral Properties of High-Dimensional Random Toroidal Graphs via Edgeworth-Style Expansions
by: Baguley, Samuel, et al.
Published: (2025)

Wasserstein-p Bounds via Cumulant-Based Edgeworth Expansion for $α$-Mixing Random Fields
by: Liu, Tianle, et al.
Published: (2023)

Physics-constrained polynomial chaos expansion for scientific machine learning and uncertainty quantification
by: Sharma, Himanshu, et al.
Published: (2024)

Quadratic Wiener functionals -- transformations and quadratic forms
by: Taniguchi, Setsuo
Published: (2026)

Wiener distribution on holonomy groups
by: Zhang, Yuguang
Published: (2025)

Non-separable graphs meet Ledoux's polynomials
by: Mansanarez, Paul
Published: (2025)

A new proof of the expansion of iterated Ito stochastic integrals with respect to the components of a multidimensional Wiener process based on generalized multiple Fourier series and Hermite polynomials
by: Kuznetsov, Dmitriy F.
Published: (2023)

Transformations of order one and quadratic forms on Wiener spaces
by: Taniguchi, Setsuo
Published: (2025)

Fine properties of fractional Brownian motions on Wiener space
by: Li, Jiawei, et al.
Published: (2018)

Sample Path Properties of the Fractional Wiener--Weierstrass Bridge
by: Schied, Alexander, et al.
Published: (2024)

Stability of backward propagation of chaos
by: Papapantoleon, Antonis, et al.
Published: (2025)

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