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Paper Citation Record · LEDGER

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications

As of 4 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 0 inbound Pith citation observations for arXiv:2608.02489.

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measured 55 of 55 reference resolution

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measured 55 of 55 standing notices

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55 of 55 outbound references displayed

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Outbound references

Observation b18f3373-b0ee-48a8-9cce-5c0be30a9a0d · outbound

This paper cites R.,ANDHEDBERG, L.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications R.,ANDHEDBERG, L

Reference 1

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Observation 4389b198-279f-43a3-8931-b917f690a66d · outbound

This paper cites N., CARDALIAGUET, P.,ANDSOUGANIDIS, P.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications N., CARDALIAGUET, P.,ANDSOUGANIDIS, P

Reference 2

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Observation efc4fb09-69a5-49be-8718-5e86a0d68fb9 · outbound

This paper cites Linear response, or else.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Linear response, or else

Reference 3

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Observation 7a3e0449-9154-46e4-abbc-3f5a80127fd7 · outbound

This paper cites Modern Birkhäuser Classics.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Modern Birkhäuser Classics

Reference 4

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Observation 575beb2d-6efa-4233-a113-ffe7703c4474 · outbound

This paper cites Dover edition.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Dover edition

Reference 5

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Observation 5e0e7894-4a2c-4848-8e51-835df5511baf · outbound

This paper cites New connections between dynamical systems and pdes.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications New connections between dynamical systems and pdes

Reference 6

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Observation 1f73609f-77a1-42b3-93a4-3da9b558aa30 · outbound

This paper cites 160 ofCambridge Tracts in Mathematics.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications 160 ofCambridge Tracts in Mathematics

Reference 7

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Observation 6e775cce-5eb8-4a9d-a346-656997906d9d · outbound

This paper cites A.,ANDSOUGANIDIS, P.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications A.,ANDSOUGANIDIS, P

Reference 8

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Observation 6bd440f2-f94c-422f-9dec-899460fcc1c9 · outbound

This paper cites On the Rate of Convergence in Homogenization of Hamilton-Jacobi Equations.Indiana University Mathematics Journal 50, 3 (2001), 1113–1129.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications On the Rate of Convergence in Homogenization of Hamilton-Jacobi Equations.Indiana University Mathematics Journal 50, 3 (2001), 1113–1129

Reference 9

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Observation 9cc4d307-e4a7-48f3-a5b0-d83afbab9430 · outbound

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Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Unresolved cited work

Reference 10

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Observation b0945115-fb77-46cb-bb7e-906adc29c283 · outbound

This paper cites Quantitative homogenization of convex Hamilton-Jacobi equations in the Wasserstein space.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Quantitative homogenization of convex Hamilton-Jacobi equations in the Wasserstein space

Reference 11

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Observation 301bfd52-9f5c-49b8-92c5-823627371336 · outbound

This paper cites Aubry-Mather theory and periodic solutions of the forced Burgers equation.Comm.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Aubry-Mather theory and periodic solutions of the forced Burgers equation.Comm

Reference 12

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Observation 0c014446-a99a-49ce-afad-4f8a55134d22 · outbound

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Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Unresolved cited work

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Observation f17822ec-5942-4df6-b619-8797fea81289 · outbound

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Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Unresolved cited work

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Observation b5ab9315-3a09-436c-9f47-31d17d740fa3 · outbound

This paper cites C.,ANDGOMES, D.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications C.,ANDGOMES, D

Reference 15

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Observation 05dac33d-5fdf-41d2-8c8f-b0b52d1ab7a3 · outbound

This paper cites Weak KAM theorem in lagrangian dynamics.Monograph(2008).

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Weak KAM theorem in lagrangian dynamics.Monograph(2008)

Reference 16

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source=pdf_text observed=2026-08-04T06:23:17.154688Z digest=sha256:89f1def2b4fa00b7d6e9eb9439c17b12f91dc0bd685518143db16743446f3de8

Observation 9c9a4dad-7dd5-4b91-b071-1f96bd75a8ea · outbound

This paper cites Quadratic response of random and deterministic dynamical systems.Chaos: An Interdisciplinary Journal of Nonlinear Science 30, 2 (Feb.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Quadratic response of random and deterministic dynamical systems.Chaos: An Interdisciplinary Journal of Nonlinear Science 30, 2 (Feb

Reference 17

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source=pdf_text observed=2026-08-04T06:23:17.158681Z digest=sha256:2d7f7427ab2a74f36f5e964558d8972b449c3351536ad8d7a0aa723c0602cad6

Observation 9433be21-b9ab-4e4e-89e2-3669368d71d1 · outbound

This paper cites Quantitative statistical stability and linear response for irrational rotations and diffeomorphisms of the circle.Discrete and Continuous Dynamical Systems 42, 2 (Feb.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Quantitative statistical stability and linear response for irrational rotations and diffeomorphisms of the circle.Discrete and Continuous Dynamical Systems 42, 2 (Feb

Reference 18

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Observation 6bdee18e-647a-4e7b-b729-dfc47d79f203 · outbound

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Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Unresolved cited work

Reference 19

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Observation 180a7276-c583-4ac9-88d2-8f3d5df14fcc · outbound

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Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Unresolved cited work

Reference 20

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Observation b21bd11b-779e-40e9-91d1-1fd0d72ded7d · outbound

This paper cites Rate of convergence in periodic homogenization for convex Hamilton–Jacobi equations with multiscales.Nonlinearity 36, 10 (Aug.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Rate of convergence in periodic homogenization for convex Hamilton–Jacobi equations with multiscales.Nonlinearity 36, 10 (Aug

Reference 21

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Observation 9869554f-0150-4ec0-8344-230877d59a5c · outbound

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Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Unresolved cited work

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Observation 62188fcf-55ce-4974-959a-83736d294ed1 · outbound

This paper cites Quantitative homogenization of Hamilton–Jacobi equations on perforated domains with Dirichlet boundary conditions, Oct.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Quantitative homogenization of Hamilton–Jacobi equations on perforated domains with Dirichlet boundary conditions, Oct

Reference 23

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Observation 635173fa-871b-4853-be51-66c25f2437d6 · outbound

This paper cites Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations.Inst.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations.Inst

Reference 24

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Observation 75aa26fc-6987-4b73-a6e8-0ddcff3a8cfc · outbound

This paper cites N.,ANDZHANG, J.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications N.,ANDZHANG, J

Reference 25

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Observation 6c0c032d-fa3f-4e4d-bac5-d566e6799e9c · outbound

This paper cites Almost periodic homogenization of Hamilton-Jacobi equations.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Almost periodic homogenization of Hamilton-Jacobi equations

Reference 26

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Observation 812379e6-64fa-495d-8008-d858342b4be5 · outbound

This paper cites V.,ANDYU, Y.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications V.,ANDYU, Y

Reference 27

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Observation b7894133-1b55-43bc-a098-f3e059082c3f · outbound

This paper cites Cambridge Mathematical Library.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Cambridge Mathematical Library

Reference 28

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Observation 5d979cbd-c6e6-4d6c-9798-5790b2f45d6e · outbound

This paper cites Uniform convergence rate for Birkhoff means of certain uniquely ergodic toral maps.Ergodic Theory Dynam.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Uniform convergence rate for Birkhoff means of certain uniquely ergodic toral maps.Ergodic Theory Dynam

Reference 29

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Observation b32b3969-aee7-4b0b-a08a-99c8f93eb7a2 · outbound

This paper cites Q., MITAKE, H.,ANDTRAN, H.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Q., MITAKE, H.,ANDTRAN, H

Reference 30

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Observation d37e73f1-b9de-44b9-a442-a09c125fe852 · outbound

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Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Unresolved cited work

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Observation 5199f059-c87e-4610-bb72-808636d120c0 · outbound

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Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Unresolved cited work

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Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Unresolved cited work

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Observation 3015f6a4-3f70-4a54-a5de-8dcb4d779347 · outbound

This paper cites Rate of convergence for homogenization of nonlinear weakly coupled Hamilton–Jacobi systems.Journal of Differential Equations 440(Sept.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Rate of convergence for homogenization of nonlinear weakly coupled Hamilton–Jacobi systems.Journal of Differential Equations 440(Sept

Reference 34

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Observation 9e26e484-8394-4b0d-b9f4-fcb057ad39de · outbound

This paper cites Rate of convergence for homogenization of nonlinear weakly coupled Hamilton-Jacobi systems.Journal of Differential Equations 440(Sept.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Rate of convergence for homogenization of nonlinear weakly coupled Hamilton-Jacobi systems.Journal of Differential Equations 440(Sept

Reference 35

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Observation 821aac52-f563-41e3-9353-f205a64903b8 · outbound

This paper cites Quantitative homogenization of convex Hamilton–Jacobi equations with Neumann type boundary conditions.Calculus of Variations and Partial Differential Equations 65, 5 (Apr.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Quantitative homogenization of convex Hamilton–Jacobi equations with Neumann type boundary conditions.Calculus of Variations and Partial Differential Equations 65, 5 (Apr

Reference 36

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Observation cc15d907-9e8a-4033-beeb-d2fce02c5428 · outbound

This paper cites Quantitative homogenization of convex Hamilton-Jacobi equations with $u/\varepsilon$-periodic Hamiltonians.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Quantitative homogenization of convex Hamilton-Jacobi equations with $u/\varepsilon$-periodic Hamiltonians

Reference 37

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Observation 7f5a5de3-45f7-4660-9518-4cc6741abd9a · outbound

This paper cites V.,ANDYU, Y.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications V.,ANDYU, Y

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Observation 96cbe528-ecea-4f3c-b022-5c1824ec78e5 · outbound

This paper cites 1 ofCambridge Studies in Advanced Mathematics.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications 1 ofCambridge Studies in Advanced Mathematics

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Observation 7fe20244-9446-4938-ae37-0898e436710a · outbound

This paper cites Fractal dimensions of almost periodic attractors.Ergodic Theory and Dynamical Systems 16, 4 (Aug.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Fractal dimensions of almost periodic attractors.Ergodic Theory and Dynamical Systems 16, 4 (Aug

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Observation f8281c33-cbc8-4986-ac47-4fc481ae6d71 · outbound

This paper cites An introduction to the qualitative and quantitative theory of homogenization.Interdisciplinary Information Sciences 24, 1 (2018), 1–48.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications An introduction to the qualitative and quantitative theory of homogenization.Interdisciplinary Information Sciences 24, 1 (2018), 1–48

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Observation f9dd9f26-bd08-44b3-aad7-c2f9d82e479d · outbound

This paper cites A lecture on the classical KAM theorem.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications A lecture on the classical KAM theorem

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Observation 368738fa-8cb1-43d7-9d5d-4a0ae2e9a47b · outbound

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Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Unresolved cited work

Reference 43

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Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Unresolved cited work

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Observation c09976d4-42c6-4d93-a2bd-65896134c550 · outbound

This paper cites M.Diophantine Approximation.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications M.Diophantine Approximation

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Observation f4ba57c2-240c-4cd0-a35d-2654cd6c3d0f · outbound

This paper cites Convergence rates and Hölder estimates in almost-periodic homogenization of elliptic systems.Analysis & PDE 8, 7 (Sept.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Convergence rates and Hölder estimates in almost-periodic homogenization of elliptic systems.Analysis & PDE 8, 7 (Sept

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Observation 826c5009-1f49-47fd-9799-e7780845edc4 · outbound

This paper cites Statistical regularity and linear response of Mather measures for Tonelli Lagrangian systems, Mar.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Statistical regularity and linear response of Mather measures for Tonelli Lagrangian systems, Mar

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Observation 6eb06872-dbb2-4ce9-a607-3e4167d7e117 · outbound

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Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Unresolved cited work

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Observation 25d15234-e43d-4d9b-bc8f-27b263ce6f0d · outbound

This paper cites M.Singular Integrals and Differentiability Properties of Functions (PMS-30).

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications M.Singular Integrals and Differentiability Properties of Functions (PMS-30)

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Observation ea18b5ca-3698-41be-a7af-2628eda8c4fc · outbound

This paper cites V.Hamilton–Jacobi Equations: Theory and Applications, vol.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications V.Hamilton–Jacobi Equations: Theory and Applications, vol

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Observation df6ebc9a-de75-4b41-bdcf-26a0ddaefd11 · outbound

This paper cites V.,ANDYU, Y.A Course on Weak KAM Theory.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications V.,ANDYU, Y.A Course on Weak KAM Theory

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Observation e2817662-9462-42dd-af8b-5fc318cae17e · outbound

This paper cites Optimal convergence rate for periodic homogenization of convex Hamilton-Jacobi equations.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Optimal convergence rate for periodic homogenization of convex Hamilton-Jacobi equations

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Observation 543f74a7-7161-465e-92e4-f9e40a8ddfa1 · outbound

This paper cites Modern Birkhäuser Classics.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Modern Birkhäuser Classics

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Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Unresolved cited work

Reference 54

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Observation 3fc3ad4a-4475-46d4-b0f9-2e08f8cd36b1 · outbound

This paper cites Petits diviseurs en dimension 1, Astérisque, no.

Convergence Rate of Birkhoff Average for Toral Quasi-Periodic Rotations and Applications Petits diviseurs en dimension 1, Astérisque, no

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