Paper Citation Record · LEDGER

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition

As of 20 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2512.13148.

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pith.paper-citation-record.v1
2512.13148 v2

Coverage vector

measured 37 of 37 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T16:37:44.757810Z

measured 37 of 37 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

37 of 37 outbound references displayed

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Outbound references

Observation a3ea2a6f-4646-4fdd-9b84-05856105e534 · outbound

This paper cites Generalization of the Nualart – Peccati criterion.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Generalization of the Nualart – Peccati criterion

Reference 1

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Observation 46722987-3164-4ad1-b72a-b56099cf4af9 · outbound

This paper cites an unresolved cited work.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Unresolved cited work

Reference 2

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Observation 3334486a-7653-4ac7-a35f-7b41021516cf · outbound

This paper cites an unresolved cited work.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Unresolved cited work

Reference 3

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Observation 8a7de609-ba25-4818-a608-7c75676f668f · outbound

This paper cites Central limit theorems for non-linear functionals of Gaussian fields.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Central limit theorems for non-linear functionals of Gaussian fields

Reference 4

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Observation dff85d24-e96a-445a-b872-f614d630449a · outbound

This paper cites Moment bounds and central limit theorems for Gaussian subordinated arrays.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Moment bounds and central limit theorems for Gaussian subordinated arrays

Reference 5

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Observation 31e50d7c-01ed-4346-853b-b690167092c7 · outbound

This paper cites Fermionic Gaussian free field structure in the Abelian sandpile model and uniform spanning tree.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Fermionic Gaussian free field structure in the Abelian sandpile model and uniform spanning tree

Reference 6

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Observation 45b78547-f329-458e-9f24-13736f802268 · outbound

This paper cites Hazra, Alan Rapoport, and Wioletta M.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Hazra, Alan Rapoport, and Wioletta M

Reference 7

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Observation 0f08e8b9-8b17-4fae-9dae-46aea4b967de · outbound

This paper cites Continuous Breuer -major Theorem : Tightness and Nonstationarity.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Continuous Breuer -major Theorem : Tightness and Nonstationarity

Reference 8

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Observation a4c5f481-2018-4f53-9126-2772effbfac9 · outbound

This paper cites Ruszel, and Dirk Schuricht.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Ruszel, and Dirk Schuricht

Reference 9

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Observation 5aee0658-7e35-4c18-a1e9-ba7dbb0259d2 · outbound

This paper cites Central limit theorems for nonlinear functionals of stationary Gaussian processes.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Central limit theorems for nonlinear functionals of stationary Gaussian processes

Reference 10

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Observation 5935dbed-7ce2-4196-b445-caa6e3adccf3 · outbound

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Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Unresolved cited work

Reference 11

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Observation 5c8f1090-b27e-4af2-b9de-9b52d4641609 · outbound

This paper cites Fourth moment theorems on the Poisson space in any dimension.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Fourth moment theorems on the Poisson space in any dimension

Reference 12

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Observation b1d24300-103e-4549-a7d3-8b300c9265ef · outbound

This paper cites The Fourth - Moment Theorem on Hilbert Spaces , September 2025.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition The Fourth - Moment Theorem on Hilbert Spaces , September 2025

Reference 13

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Observation 2001eed8-3b1e-4a21-aae1-ebba29d49b2b · outbound

This paper cites Spectral Criteria for the Asymptotics of Local Functionals of Gaussian Fields and Their Application to Nodal Volumes and Critical Points.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Spectral Criteria for the Asymptotics of Local Functionals of Gaussian Fields and Their Application to Nodal Volumes and Critical Points

Reference 14

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Observation 80c6ed5e-39ea-4a5a-a0c9-fbfa30ca8d1b · outbound

This paper cites Equilibrium Fluctuations for grad-phi Interface Model.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Equilibrium Fluctuations for grad-phi Interface Model

Reference 15

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Observation cc4e4900-e0ba-428a-aa45-269779aa03e8 · outbound

This paper cites Giraitis and D.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Giraitis and D

Reference 16

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Observation df0ce0a6-316c-47a8-b35d-17a23eb0e8a5 · outbound

This paper cites Renormalized self-intersection local time for fractional Brownian motion.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Renormalized self-intersection local time for fractional Brownian motion

Reference 17

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Observation 19533dc4-1ef7-4d77-9596-f79d331e584d · outbound

This paper cites Gaussian Hilbert Spaces.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Gaussian Hilbert Spaces

Reference 18

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Observation 7c4e5351-0a8c-4837-badf-5a192fb4cda9 · outbound

This paper cites Wigner chaos and the fourth moment.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Wigner chaos and the fourth moment

Reference 19

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Observation 789acafe-13bc-4317-98da-059431aa28d6 · outbound

This paper cites Fluctuations for the Ginzburg - Landau \ \ \ nabla phi\ \ \ Interface Model on a Bounded Domain.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Fluctuations for the Ginzburg - Landau \ \ \ nabla phi\ \ \ Interface Model on a Bounded Domain

Reference 20

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Observation e90707e3-b197-4c16-9adc-0e625d51f816 · outbound

This paper cites Limit theorems for the number of sign and level-set clusters of the Gaussian free field.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Limit theorems for the number of sign and level-set clusters of the Gaussian free field

Reference 21

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Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Generalizations of the fourth moment theorem

Reference 22

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Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Unresolved cited work

Reference 23

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Observation c08eafb2-8a02-4065-8cf6-4dda4133a211 · outbound

This paper cites The functional Breuer – Major theorem.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition The functional Breuer – Major theorem

Reference 24

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Observation a1c5e042-8fe3-4a11-8c85-e58a4f490fdf · outbound

This paper cites The Breuer – Major theorem in total variation: Improved rates under minimal regularity.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition The Breuer – Major theorem in total variation: Improved rates under minimal regularity

Reference 25

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Observation dbcabede-3a39-4935-a83b-100e0f71d6d4 · outbound

This paper cites Lectures on Gaussian approximations with Malliavin calculus.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Lectures on Gaussian approximations with Malliavin calculus

Reference 26

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Observation 4e506080-465c-4080-a0e1-5889a4b95696 · outbound

This paper cites Central limit theorems for sequences of multiple stochastic integrals.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Central limit theorems for sequences of multiple stochastic integrals

Reference 27

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Observation df4c6968-29ea-4125-8357-44dceb1fd61a · outbound

This paper cites Stein’s method on Wiener chaos.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Stein’s method on Wiener chaos

Reference 28

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Observation 1376504e-0b32-481f-9a99-a348293e9aae · outbound

This paper cites Quantitative Breuer – Major theorems.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Quantitative Breuer – Major theorems

Reference 29

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Observation 6807175e-a39b-4181-ac29-92f08282a2de · outbound

This paper cites Berry- Esseen bounds in the Breuer - Major CLT and Gebelein ’s inequality.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Berry- Esseen bounds in the Breuer - Major CLT and Gebelein ’s inequality

Reference 30

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Observation dbe4ebc3-5e38-4be3-9e47-3ec31b284cd4 · outbound

This paper cites On homogenization and scaling limit of some gradient perturbations of a massless free field.

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition On homogenization and scaling limit of some gradient perturbations of a massless free field

Reference 31

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Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Continuous Breuer - Major theorem for vector valued fields

Reference 32

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Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Malliavin calculus and normal approximations

Reference 33

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Observation 8d3ef074-931d-4117-be64-d4a6ca8ffe49 · outbound

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Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Newman and Wei Wu

Reference 34

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Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Unresolved cited work

Reference 35

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Observation c274b951-072d-4ac2-87a7-ba029c4b8f67 · outbound

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Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Unresolved cited work

Reference 36

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Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition Local central limit theorem for gradient field models

Reference 37

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