Cover Image

A Gaussian integral formula for the Hermite polynomials: Combinatorics, Asymptotics and Applications

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Nica, Mihai, Ortmann, Janosch
Format:	Preprint
Published:	2025
Subjects:	Probability
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Depth Degeneracy in Neural Networks: Vanishing Angles in Fully Connected ReLU Networks on Initialization
by: Jakub, Cameron, et al.
Published: (2023)

The generalized Alice HH vs Bob HT problem
by: Janson, Svante, et al.
Published: (2025)

Tracy-Widom asymptotics for a random polymer model with gamma-distributed weights
by: O'Connell, Neil, et al.
Published: (2014)

Uniform convergence to the Airy line ensemble
by: Dauvergne, Duncan, et al.
Published: (2019)

Optimal Strategy in "Guess Who?": Beyond Binary Search
by: Nica, Mihai
Published: (2015)

Coupling derivation of optimal-order central moment bounds in exponential last-passage percolation
by: Emrah, Elnur, et al.
Published: (2022)

The directed landscape
by: Dauvergne, Duncan, et al.
Published: (2018)

Asymptotic formulas for products of Poisson distributions
by: Chvoinikov, Džiugas, et al.
Published: (2026)

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)

From Combinatorics to Partial Differential Equations
by: Mattesini, Francesco, et al.
Published: (2025)

Free denoising via overlap measures and c-freeness techniques
by: Fevrier, Maxime, et al.
Published: (2024)

An estimate for $β$-Hermite ensembles via the zeros of Hermite polynomials
by: Voit, Michael
Published: (2025)

B-splines approximate the Gaussian density and Hermite functions in Schwartz seminorms
by: Rzeszut, Maciej, et al.
Published: (2025)

Asymptotic analysis of the characteristic polynomial for the Elliptic Ginibre Ensemble
by: François, Quentin, et al.
Published: (2023)

Asymptotic Probabilities of Attaining the Maximum in Heterogeneous Gaussian Samples
by: Zhang, Chunxu, et al.
Published: (2026)

Asymptotic Gaussian Fluctuations of Eigenvectors in Spectral Clustering
by: Lebeau, Hugo, et al.
Published: (2024)

Determinantal formulas for Sklyanin-Whittaker integrals
by: Kimura, Taro
Published: (2026)

A frequency-independent bound on trigonometric polynomials of Gaussians and applications
by: Kong, Fanhao, et al.
Published: (2022)

Asymptotic analysis of the finite predictor for the fractional Gaussian noise
by: Chigansky, P., et al.
Published: (2025)

Statistics on monotonically ordered non-crossing partitions
by: Blitvic, Natasha, et al.
Published: (2025)

On a version of a multivariate integration by parts formula for Lebesgue integrals
by: Ansari, Jonathan
Published: (2022)

Asymptotic freeness through unitaries generated by polynomials of Wigner matrices
by: Parraud, Félix, et al.
Published: (2022)

Asymptotics of Green functions for Markov-additive processes: an approach via dyadic splitting of integrals
by: Ballu, Théo
Published: (2024)

Combinatorics of cyclic-conditional freeness
by: Arizmendi, Octavio, et al.
Published: (2023)

Gaussian integrals on symmetric spaces (the complex case and beyond)
by: Said, Salem
Published: (2025)

Gaussian universality for approximately polynomial functions of high-dimensional data
by: Huang, Kevin Han, et al.
Published: (2024)

A SageMath Package for Analytic Combinatorics in Several Variables: Beyond the Smooth Case
by: Hackl, Benjamin, et al.
Published: (2025)

On the Square Root of Wishart Matrices: Exact Distributions and Asymptotic Gaussian Behavior
by: Liu, Fengcheng
Published: (2025)

Gaussian Equivalence for Self-Attention: Asymptotic Spectral Analysis of Attention Matrix
by: Hayase, Tomohiro, et al.
Published: (2025)

Probabilistic Representations of Ordered Exponentials: Vector-Valued Schrödinger Semigroups and the Combinatorics of Anderson Localization
by: Lamarre, Pierre Yves Gaudreau
Published: (2023)

On the $1/H$-variation of the divergence integral with respect to a Hermite process
by: Čoupek, Petr, et al.
Published: (2025)

Asymptotic behaviors for Volterra type McKean-Vlasov stochastic integral equations with small noise
by: Liu, Shanqi, et al.
Published: (2024)

A mild Girsanov formula
by: Da Prato, Giuseppe, et al.
Published: (2023)

A recursion formula for mixed trace moments of isotropic Wishart matrices and the Gaussian unitary/orthogonal ensembles
by: Deitmar, Ben
Published: (2023)

Spectral Criteria for the Asymptotics of Local Functionals of Gaussian Fields and Their Application to Nodal Volumes and Critical Points
by: Gass, Louis
Published: (2025)

A refinement of the Ewens sampling formula
by: Strahov, Eugene
Published: (2024)

Derivative formula for capacities
by: Asselah, Amine, et al.
Published: (2025)

Generalised Local Fractional Hermite-Hadamard Type Inequalities on Fractal Sets
by: Olanipekun, Peter Olamide
Published: (2024)

Gaussian random projections of convex cones: approximate kinematic formulae and applications
by: Han, Qiyang, et al.
Published: (2022)

Limit theorems for Gaussian fields via Chaos Expansions and Applications
by: Giorgio, Giacomo
Published: (2024)